OOIR: Observatory of International Research

Papers

(The TQCC of Integral Transforms and Special Functions is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-10-01 to 2025-10-01.)

Article	Citations
Operational rules for a new family of d -orthogonal polynomials of Laguerre type	17
The indefinite integrals of Meijer's G-functions from integrating factors	13
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	11
Generalized form of 2D-Laguerre polynomials	10
On polynomial transformations preserving purely imaginary zeros*	9
On Rainville-type generating functions for Hermite polynomials	8
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	8
Multidimensional continuous Bessel wavelet transform: properties and applications	7
Finite-part integration of the Hilbert transform	7
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	7
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	7
Analytic continuation of the Kampé de Fériet function and the general double Horn series	6
Explicit expressions for one family of the four parametric linear Euler sums	5
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	5
Binomial identities obtained from the Gegenbauer series expansion	5
Wavelet transform associated with Dunkl transform	5
Leibniz rules for fractional derivatives of non-differentiable functions	4
New results on the associated Meixner, Charlier, and Krawtchouk polynomials	4
Applications of Laguerre transform to solve Schrödinger-type equations and differential equations of order four	4
Convolution theorem for the windowed linear canonical transform	4
Quantitative uncertainty principles for the Gabor spherical mean transform	4
Some integral representations for the Faxén function	4
The μ ^th order Mehler–Fock transform and allied pseudo-differential operator	4
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	4
On a determinant involving the volume of the unit ball in	4

Basis property of the root functions of a class of nonlocal differential operators	3
On the zeros of some d-orthogonal polynomials	3
Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions II	3
Mellin transform in connection with Wigner–Ville transform and linear canonical transform	3
Series representations of all branches of the Lambert W function	3
Mean value inequalities for the Riemann zeta function	3
On Neumann series of Macdonald functions	3
Commutators of maximal operator with Lipschitz functions on local Morrey-Lorentz spaces	3
Correction	3
On certain subclass of multivalent functions associated with Bessel functions	3
The algebra of difference operators associated to Meixner type polynomials	3
The heat kernel associated with generalized Kontorovich–Lebedev transform	3
Linear canonical Jacobi–Dunkl wavelet transform	3
Laplace transform method for the radially deformed Fourier transform	3
Bessel operator with Jacobi polynomial integration	3
Fourier transform of biorthogonal polynomials in one variable	3
The continuous Mehler–Fock wavelet packets transform	3
Kontorovich–Lebedev wavelet transform on Besov type spaces	3
Weighted integrability of Fourier–Jacobi transforms	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ ^d	3
Uniform asymptotic expansions for Bessel functions of imaginary order and their zeros	2
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	2
Generalized absolute convergence of Fourier-Jacobi expansions	2
On the algebraic structure of Mehler–Fock–Clifford convolution and applications	2
The h-Fourier sine-Laplace discrete generalized convolution on time scale	2
Spectrogram analysis associated with the Sturm–Liouville multiplier operators	2
End-point estimates of the totally-geodesic Radon transform on spaces of constant curvature: a unified approach	2
A note on the bilateral binomial theorem	2
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	2
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	2
On modular forms and Domb numbers	2
The symmetric D_w-Laguerre–Hahn orthogonal polynomial of class one	2
Contiguous values for a class of nonterminating ₃F₂(1)-series	2
On the generalized Dunkl Dini–Lipschitz spaces	2
New identities for the Laplace transform and their applications	2
New cases of Hankel operator diagonalization	2
Evaluating six Apéry-like series of weight 5	2
Uniqueness and stability for a seismic-type generalized Radon transform	1
Polynomial approximation using Gegenbauer polynomials	1
Fractional calculus for the Hartley transform	1
On convergence of Fourier series in discrete Jacobi–Sobolev spaces	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	1
The convolution estimates and Parseval–Goldstein type theorem in the framework of generalized Kontorovich–Lebedev transforms	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	1
On some integrals of Ramanujan type	1
Polynomial sequences associated with the fractional Pascal measure	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1

Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
On a class of multidimensional fractional Stockwell transform and uncertainty principles	1
Characterizations of anisotropic Lipschitz functions via the commutators of anisotropic maximal function in Lorentz spaces	1
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	1
New Mittag-Leffler type functions from solving fractional pantograph differential equations	1
Wavelet convolutors on the space of distributions	1
A note on wavelet packet summation methods	1
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
On some formulas for the Horn function H₇(a, b, b′; c; w, z)	1
New series expansions for the ℋ-function of communication theory	1
A novel special affine convolution and short time special affine Fourier transform	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
Characterizations of the gyrator transform via the fractional Fourier transform	1
Generalization of Titchmarsh's theorems for the Minkowski algebra	1
Other family of cubic decomposition of a semiclassical form of class one	1
A note on the operator norm of the Laplace transformation	1
Poisson summation formula and index transforms	1
Inequalities for ratios of modified Struve functions	1
On connection between zeros and d -orthogonality	1
Boas-type results for Mellin transform	1
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	1
On a ℂ²-valued integral index transform and bilateral hypergeometric series	1
On some integrals involving the inverse tangent integrals	1
Some expansion formulas for Brenke polynomial sets	1
Bell polynomials and generalized Laplace transforms	1
Uniform upper bounds and asymptotic expansions for certain index kernels	1
Stability of initial-boundary value problem for diffusion equation on a half space	1
Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations	1
The L ₂ -Ritt's type integro-differential operators of the real Lebedev–Skalskaya transform revisited	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
Directional Stockwell transform in L²(ℝⁿ)	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	1
Explicit, recurrent, determinantal expressions of the k th power of formal power series and applications to the generalized Bernoulli numbers	1
On some properties of the Neumann polynomials	1
Fractional moments	1
Some Fourier transforms involving confluent hypergeometric functions	1
Generalization of Titchmarsh's theorem for the modified Whittaker transform	1
On some relations in the class of multi-index Mittag-Leffler functions	1
Some evaluations of parametric Euler type sums of harmonic numbers	1