OOIR: Observatory of International Research

Papers

(The TQCC of Computational Methods and Function Theory 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 2020-05-01 to 2024-05-01.)

Article	Citations
Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals	161
Inequalities for Generalized Grötzsch Ring Function	34
Numerical Conformal Mapping with Rational Functions	24
Bohr Type Inequalities for Functions with a Multiple Zero at the Origin	14
Crouzeix’s Conjecture and Related Problems	8
Entire Solutions of Two Certain Types of Non-linear Differential-Difference Equations	8
Generalization of Pólya’s Zero Distribution Theory for Exponential Polynomials, and Sharp Results for Asymptotic Growth	8
Homeomorphisms of Finite Metric Distortion Between Riemannian Manifolds	7
Teichmüller’s Theorem in Higher Dimensions and Its Applications	7
Variations on a Conjecture of C. C. Yang Concerning Periodicity	7
The Principal Branch of the Lambert W Function	6
The Geometric Characterizations for a Combination of Generalized Struve Functions	6
Triangular Ratio Metric Under Quasiconformal Mappings in Sector Domains	6
Conformal Invariants in Simply Connected Domains	6
The Bohr–Rogosinski Radius for a Certain Class of Close-to-Convex Harmonic Mappings	5
Convergence of Multidimensional A- and J-Fractions with Independent Variables	5
Uniqueness of Derivatives and Shifts of Meromorphic Functions	5
Entire Solutions of Binomial Differential Equations	5
On the Uniqueness Problem for Quadrature Domains	5
F-Classes of Univalent Functions and F-Differential Subordinations	4
A Convergent Family of Bivariate Floater-Hormann Rational Interpolants	4
Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions	4
On Certain Generalizations of $$\mathcal {S}^*(\psi )$$	4
Bohr Phenomenon for Certain Close-to-Convex Analytic Functions	4
Unicity of Entire Functions Concerning Their Shifts and Derivatives	4

3-Parameter Generalized Quaternions	3
Radius Problems for Functions Containing Derivatives of Bessel Functions	3
Solutions of Second Order Complex Differential Equation Having Certain Pre-given Zeros	3
Supercyclicity and Resolvent Condition for Weighted Composition Operators	3
On the Order of Convexity for the Shifted Hypergeometric Functions	3
On the Exact Forms of Meromorphic Solutions of Certain Non-linear Delay-Differential Equations	3
On the Univalence of Poly-analytic Functions	3
Planar Equilibrium Measure Problem in the Quadratic Fields with a Point Charge	2
Some Refinements of the Fekete and Szegő Inequality on Bounded Starlike Circular Domains in $$\mathbb {C}^n$$	2
The Maximum Modulus Set of a Polynomial	2
Comparison and Möbius Quasi-invariance Properties of Ibragimov’s Metric	2
Pluripotential Theory and Convex Bodies: A Siciak–Zaharjuta Theorem	2
Transformation Properties of Hypergeometric Functions and Their Applications	2
Schwarz–Pick and Landau Type Theorems for Solutions to the Dirichlet–Neumann Problem in the Unit Disk	2
The Uniformisation of the Equation $$z^w=w^z$$	2
The Prime Function, the Fay Trisecant Identity, and the van der Pauw Method	2
Generalization of Proximate Order and Applications	2
Bohr Type Inequalities for the Class of Self-Analytic Maps on the Unit Disk	2
Quasisymmetry and Quasihyperbolicity of Mappings on John Domains	2
Asymptotic Behaviour of the Error of Polynomial Approximation of Functions Like $$\vert x\vert ^{{\alpha }+i{\beta }}$$	2
Lattice Paths, Vector Continued Fractions, and Resolvents of Banded Hessenberg Operators	1
Painlevé III and V Types Differential Difference Equations	1
Random Interpolating Sequences in the Polydisc and the Unit Ball	1
Normal Families of Möbius Maps	1
Necessary Conditions for Interpolation by Multivariate Polynomials	1
Uniqueness Theorems of Meromorphic Functions and Their Differences in Several Complex Variables	1
Approximation by Convolution Polyanalytic Operators in the Complex and Quaternionic Compact Unit Balls	1
An Application of the Schur Algorithm to Variability Regions of Certain Analytic Functions-I	1
Difference of Composition Operators on Weighted Bergman Spaces with Doubling Weights	1
The Topological Dimension of Radial Julia Sets	1
On the Moisil-Theodoresco Operator in Orthogonal Curvilinear Coordinates	1
Bergman Projections Induced by Doubling Weights on the Unit Ball of $${\mathbb {C}}^n$$	1
Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra	1
Rational Inner Functions and their Dirichlet Type Norms	1
Value Cross-Sharing of Meromorphic Functions	1
Iterating the Minimum Modulus: Functions of Order Half, Minimal Type	1
Strongly Quasiconformal Extension of Harmonic Mappings	1
Composition Operators on Sobolev Spaces and Q-Homeomorphisms	1
Universal Taylor Series in Several Variables Depending on Parameters	1
Bank-Laine Functions with Real Zeros	1
Exponential Integral Representations of Theta Functions	1
A Jentzsch-Theorem for Kapteyn, Neumann and General Dirichlet Series	1
Canonical Embeddings of Pairs of Arcs	1
On Entire Function $$e^{p(z)}\int _0^{z}\beta (t)e^{-p(t)}dt$$ with Applications to Tumura–Clunie Equations and Complex Dynamics	1
A Discontinuous Galerkin Method for Three-Dimensional Poroelastic Wave Propagation: Forward and Adjoint Problems	1
On the Conditions for a Special Entire Function Related to the Partial Theta-Function and the q-Kummer Functions to Belong to the Laguerre–Pólya Class	1
Paatero’s Classes V(k) as Subsets of the Hornich Space	1
Solving the Initial Value Problem for the 3-Wave Interaction Equations in Multidimensions	1
Correction to: Some Results on L-Functions Related to Sharing Two Finite Sets	1
Explosion Points and Topology of Julia Sets of Zorich Maps	1

An Extension of Montel’s Three Omitted Values Theorem	1
On a Christoffel Transformation for Matrix Measures Supported on the Unit Circle	1
On the Product of Planar Harmonic Mappings	1
On the Functional Inequality $$f(x)f(y)-f(xy)\le f(x)+f(y)-f(x+y)$$	1
Deficient Values of Solutions of Linear Differential Equations	1
Sharp Pointwise Estimates for Fock Spaces	1
Meromorphic Functions Sharing four Values with their Difference Operators	1
Exercises on the Theme of Continuous Symmetrization	1
Khinchin Families and Hayman Class	1
An Extremal Problem for Odd Univalent Polynomials	1
Walsh’s Conformal Map onto Lemniscatic Domains for Polynomial Pre-images I	1
The Range of Hardy Numbers for Comb Domains	1
Spaceability of Subsets of the Disc Algebra	1
An Entire Function Weakly Sharing a Doubleton with its Derivative	1
A Sharp Bound for the Growth of Minimal Graphs	1
On a Result of Hayman Concerning the Maximum Modulus Set	1
Lawrence Allen Zalcman 1943–2022	1
About the Cover: The Minimum Modulus Problem for Entire Functions	1