Integral Transforms and Special Functions

Article	Citations
Multiple q-Kravchuk polynomials	17
Other family of cubic decomposition of a semiclassical form of class one	16
Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals	15
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	11
Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series	10
The Fourier transform of a function related to cylinder functions and asymptotic expansions with logarithmic terms	10
On polynomial transformations preserving purely imaginary zeros*	9
A study on the interplay between generalized Boas transform and fractional Fourier transform	9
Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform	8
A mean value formula for the iterated Dunkl-Helmoltz operator	7
A generalized ????-transform for the Fourier-type functional and its applications	6
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals	6
The symmetric Dunkl-classical orthogonal polynomials revisited	6
Uniform upper bounds and asymptotic expansions for certain index kernels	6
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ d	5
Solution to a problem involving central binomial coefficients	5
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type	5
Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition	5
Unifying discrete and integral transforms through the use of a Banach algebra	5
Sufficient conditions for the Lebesgue integrability of Mellin transforms	5
The heat kernel associated with generalized Kontorovich–Lebedev transform	5
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	4
Compositions of localized fractional derivatives and integrals of a different degree of localization	4
Inversion of Bessel potentials associated with the Dunkl operators on IRd	4
Generalized fractional Stockwell transform and its associated pseudo-differential operator	4

Indefinite integrals from Wronskians and related linear second-order differential equations	4
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	4
The indefinite integrals of Meijer's G-functions from integrating factors	4
Operational rules for a new family of d -orthogonal polynomials of Laguerre type	4
Generalized form of 2D-Laguerre polynomials	3
The Lommel polynomials and related formulas	3
Weighted integrability of Fourier–Jacobi transforms	3
Logarithmic asymptotic of multi-level Hermite–Padé polynomials	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree	3
Analytic continuation of Lauricella's function FD(N) for variables close to unit near hyperplanes {zj = zl}	3
Bilateral Laplace–Feynman transforms on abstract Wiener spaces	3
Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals	3
On Rainville-type generating functions for Hermite polynomials	3
On some formulas for the Horn functions H6(a, b, b′w, z) and H8(c)(a, b;w, z)	3
Directional Stockwell transform of distributions	3
Directional Stockwell transform in L2(ℝn)	3
Positivity of oscillatory integrals and Hankel transforms	3
Mean value inequalities for the Riemann zeta function	2
Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators	2
Wavelet convolutors on the space of distributions	2
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	2
The symmetric Dw-Laguerre–Hahn orthogonal polynomial of class one	2
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	2
Gyrator potential operator and L p -Sobolev spaces involving Gyrator transform	2
A note on wavelet packet summation methods	2
Jacobi-type functions defined by fractional Bessel derivatives	2
On the zeros of derivatives of Bessel functions	2
Moments of log-tanh integrals	2
Sums of powers of roots via Bell polynomials	2
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	2
On the closed form of Clausen functions	2
Series representations of all branches of the Lambert W function	2
Characterization of orthogonal polynomials on lattices	2
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations	2
The generalized Fourier convolution on time scales	2
On inherited properties and Julia sets of exceptional Jacobi polynomials	2
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	1
Multidimensional continuous Bessel wavelet transform: properties and applications	1
Hyponormal Toeplitz operators on weighted Bergman spaces	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials	1
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	1
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	1
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution	1
Finite-part integration of the Hilbert transform	1

Remark on a Mittag–Leffler function of Le Roy type	1
Wavelet transform associated with Dunkl transform	1
Contiguous values for a class of nonterminating 3F2(1)-series	1
Leibniz rules for fractional derivatives of non-differentiable functions	1
Explicit evaluation of some integrals involving polylogarithm functions	1
On the Big Hartley transform	1
Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes	1
Identities for combinatorial sums involving trigonometric functions	1
Limits of some integrals connected with Bessel analysis	1
On Neumann series of Macdonald functions	1
The algebra of difference operators associated to Meixner type polynomials	1
Binomial identities obtained from the Gegenbauer series expansion	1
Extending Gosper's 3F2(34)-series by three integer parameters	1
Correction	1
Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates	1
Hausdorff type operators and wavelet transform associated with the modified Whittaker transform	1
A note on the operator norm of the Laplace transformation	1
Mikusiński's operational calculus for Prabhakar fractional calculus	1
Fourier series for coherent pairs of Jacobi measures	1
Reproducing formulas for L 2 -multiplier operators related to the k -Hankel transform	1
Recurrence relation for the Appell sequences	1
Explicit expressions for one family of the four parametric linear Euler sums	1
On Meijer's G function Gm,np,p for m + n = p	1
New cases of Hankel operator diagonalization	1
The h-Fourier sine-Laplace discrete generalized convolution on time scale	1
Fractional moments	1
Analytic continuation of Lauricella's function FD(N) for large in modulo variables near hyperplanes {zj = zl	1
Analytic continuation of the Kampé de Fériet function and the general double Horn series	1
Some properties relating to the Mittag–Leffler function of two variables	1
Titchmarsh-type theorems for the Hartley integral transform	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
On boundedness of Hausdorff-type operators on Sobolev spaces	1
On some integrals of Ramanujan type	1
On modular forms and Domb numbers	1
Quantitative uncertainty principles for the Gabor spherical mean transform	1
Raabe's formula for gamma function via Riemann–Liouville fractional integrals and generalized Glaisher constants	0
A new asymptotic representation and inversion method for the Student's t distribution	0
On some integrals involving the inverse tangent integrals	0
New identities for the Laplace transform and their applications	0
A mean value inequality for the cyclic functions	0
Generalized Wigner transform associated with the Jacobi-Dunkl operator and uncertainty principles	0
Iteration of the Laplace transform over generalized functions and a Post-Widder inversion formula over distributions of compact support	0
Relations for a class of terminating 4F3(4) hypergeometric series	0
The continuous Mehler–Fock wavelet packets transform	0
On some series of special functions	0
Non-homogeneous wave equation on a cone	0
Some integral representations for the Faxén function	0
Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation	0
Voros coefficients and the topological recursion for the hypergeometric differential equation of type (1, 4)	0
A new addition theorem for cylinder functions	0
A convergent version of Watson's lemma for double integrals	0
Strong asymptotics of Jacobi-type kissing polynomials	0
Characterizations of the gyrator transform via the fractional Fourier transform	0
Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces	0
Mellin transform of shifted Airy functions and of their products	0
Quantitative uncertainty principles associated with the Laguerre wavelet transform and signal recovery	0
Study of an example of Markov chains involving Chebyshev polynomials	0
On some formulas for the Horn functions H5 (a, b; c;w, z) and (a; c;w, z)	0
Recurrence relations for Wronskian Laguerre polynomials	0
Lebedev–Skalskaya transforms and allied operators on certain function spaces	0
Properties of the fractional Clifford–Fourier transform	0
Euler-type sums involving odd harmonic numbers and binomial coefficients	0
Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials	0
Correction	0
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	0
Inequalities related to spherical harmonics associated with the Weinstein operator	0
Stability of initial-boundary value problem for diffusion equation on a half space	0
Polynomial sequences associated with the fractional Pascal measure	0
Calderón's formulas and uncertainty principles for the Laguerre–Bessel Lα2-multiplier operators	0
On matrix Cauchy biorthogonal polynomials	0
Special issue OPSFA15: orthogonal polynomials, special functions and applications	0
A generalization of Szász operators including Dunkl–Appell polynomials of class A (2)	0
On the theory of orthogonal polynomials for the weight xν exp (−x − t/x). I	0
Generalization of Titchmarsh's theorem for the modified Whittaker transform	0
Generalizations of the Jacobi identity to the case of the Lauricella function FD(N)	0
Voros coefficients of the Gauss hypergeometric differential equation with a large parameter	0
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	0
Bicomplex hypergeometric function and its properties	0
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	0
Mellin transform in connection with Wigner–Ville transform and linear canonical transform	0

On a ℂ2-valued integral index transform and bilateral hypergeometric series	0
Correction	0
Laguerre-type general-Appell polynomials	0
On convergence of Fourier series in discrete Jacobi–Sobolev spaces	0
Some integral operators and their relation to multidimensional Fourier-Bessel transform on Lα2(ℝ+n) and applications	0
Paley–Wiener theorems for the Bessel wavelet transformation	0
On the theory of orthogonal polynomials for the weight xνexp⁡(−x−t/x). II	0
The complex moment problem of Dirichlet type	0
Fractional Stockwell transform of Lizorkin distributions	0
On some relations in the class of multi-index Mittag-Leffler functions	0
On the WKB theoretic transformation to the boosted Airy equation	0
Poisson summation formula and index transforms	0
Infinite series involving harmonic numbers of convergence rate 1/2	0
A generic inequality for basic special functions	0
Trigonometric weighted generalized convolution operator associated with Fourier cosine–sine and Kontorovich–Lebedev transformations	0
Some Fourier transforms involving confluent hypergeometric functions	0
Lebedev identities and integral representations of products of Hermite functions	0
Operational rules and d-orthogonal polynomials of Laguerre type	0
The μ th order Mehler–Fock transform and allied pseudo-differential operator	0
Multiple hyperharmonic-star numbers	0
Integrals of polylogarithms and infinite series involving generalized harmonic numbers	0
On the characterizations of third-degree semiclassical forms via polynomial mappings	0
A modification of the Prudnikov and Laguerre polynomials	0
New results on the associated Meixner, Charlier, and Krawtchouk polynomials	0
On a higher-order version of a formula due to Ramanujan	0
Explicit evaluation of a family of Ramanujan-type integrals	0
A generalized sextic Freud weight	0
Product formula for the one-dimensional (k,a) -generalized Fourier kernel	0
Indefinite integrals from Wronskians for Whittaker and Gauss hypergeometric functions	0
Special affine Fourier transform of tempered distributions and pseudo-differential operators	0
On the fractional Bessel operator	0
Generalization of Titchmarsh's theorems for the Minkowski algebra	0
Uniqueness and stability for a seismic-type generalized Radon transform	0
On connection between zeros and d -orthogonality	0
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	0
The continuous fractional Bessel wavelet transform and its applications	0
Monotonicity rules for the ratio of two Laplace transforms with second-order oscillation	0
Kontorovich–Lebedev wavelet transform on Besov type spaces	0
A Laguerre series methodology for the inversion of Laplace transforms	0
Symbolic computations via Fourier–Legendre expansions and fractional operators	0
A new product formula involving Bessel functions	0
Some expansion formulas for Brenke polynomial sets	0
On the zeros of some d-orthogonal polynomials	0
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	0
Discrete index transformations with squares of Bessel functions	0
On a class of multidimensional fractional Stockwell transform and uncertainty principles	0
On some formulas for the confluent Horn functions H 10 ( c )	0
Parseval–Goldstein type theorems for the Sturm–Liouville transform	0
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	0
Hardy's theorem for the continuous shearlet transform	0
Algebraic properties of Mehler–Fock convolution and applications	0
On a determinant involving the volume of the unit ball in	0
Generalized Weinstein convolution in the space Dα,d,np and its dual	0
Generalized Lambert-type transforms over integrable Boehmians	0
A large family of third degree Laguerre–Hahn linear functionals of class zero	0
On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials	0
inequality for a modified Struve transform	0
On certain subclass of multivalent functions associated with Bessel functions	0
An extension of Maass theory to general Dirichlet series	0
On the fractional space-time Fourier transforms	0
Bell polynomials and generalized Laplace transforms	0
On zeros of discrete paraorthogonal polynomials on the unit circle	0
Fourier-Bessel transforms and generalized uniform Lipschitz classes	0
The extension of a functional equation of the Lambert W function	0
A response letter for the editor's reports on the paper: On the polyconvolution operator with a trigonometric weight function for Hartley integral transforms and applications	0
New series expansions for the ℋ-function of communication theory	0
Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices	0
On a conjecture involving Askey–Wilson polynomials	0
Division problem of a regular symmetric form the case x3u = λxv	0
An operational point of view for the theory of multi-variable/multi-index Hermite polynomials	0
Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations	0
Analogues of Beurling's theorem for some integral transforms	0
Multidimensional short-time fractional Fourier transform	0
On some formulas for the Horn function H7(a, b, b′; c; w, z)	0
Correction	0
Discrete Fourier-Jacobi transform	0
Limit relations involving 2-orthogonal polynomials	0
Mellin transform on compactly supported Boehmians	0
Constructing basises in solution space of the system of equations for the Lauricella Function F D (N)	0
Fourier transform of biorthogonal polynomials in one variable	0
Convolution theorem for the windowed linear canonical transform	0
Finite transforms with applications to Bessel differential equations of order higher than two	0
A general class of integral transforms and an expression for their convolution formulas	0
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	0
On some properties of the Neumann polynomials	0
Boas-type results for Mellin transform	0
Construction of modular function bases for Γ0(121) related to p(11n+6)	0
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	0
On the generalized Dunkl Dini–Lipschitz spaces	0
New formulas for Maclaurin's series expansions of powers of arctangent and other related topics	0
Applications of Laguerre transform to solve Schrödinger-type equations and differential equations of order four	0
Laplace transform method for the radially deformed Fourier transform	0
On the Barnes double gamma function	0
Some evaluations of parametric Euler type sums of harmonic numbers	0
Calderón's reproducing formulas for the poly-axiallyLα2-multiplier operators	0