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 2021-08-01 to 2025-08-01.)

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	12
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	11
On Rainville-type generating functions for Hermite polynomials	10
Generalized form of 2D-Laguerre polynomials	9
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	7
Multidimensional continuous Bessel wavelet transform: properties and applications	7
On polynomial transformations preserving purely imaginary zeros*	7
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	7
Finite-part integration of the Hilbert transform	6
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	6
Analytic continuation of the Kampé de Fériet function and the general double Horn series	6
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	5
Wavelet transform associated with Dunkl transform	5
The μ ^th order Mehler–Fock transform and allied pseudo-differential operator	4
Quantitative uncertainty principles for the Gabor spherical mean transform	4
New results on the associated Meixner, Charlier, and Krawtchouk polynomials	4
Explicit expressions for one family of the four parametric linear Euler sums	4
Binomial identities obtained from the Gegenbauer series expansion	4
Convolution theorem for the windowed linear canonical transform	4
Leibniz rules for fractional derivatives of non-differentiable functions	4
Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions II	3
On a determinant involving the volume of the unit ball in	3
Fourier transform of biorthogonal polynomials in one variable	3
Mellin transform in connection with Wigner–Ville transform and linear canonical transform	3

Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ ^d	3
On certain subclass of multivalent functions associated with Bessel functions	3
Kontorovich–Lebedev wavelet transform on Besov type spaces	3
Correction	3
On the zeros of some d-orthogonal polynomials	3
Some integral representations for the Faxén function	3
Basis property of the root functions of a class of nonlocal differential operators	3
Linear canonical Jacobi–Dunkl wavelet transform	3
The continuous Mehler–Fock wavelet packets transform	3
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	3
Applications of Laguerre transform to solve Schrödinger-type equations and differential equations of order four	3
Laplace transform method for the radially deformed Fourier transform	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
Series representations of all branches of the Lambert W function	3
Mean value inequalities for the Riemann zeta function	2
Contiguous values for a class of nonterminating ₃F₂(1)-series	2
Generalized absolute convergence of Fourier-Jacobi expansions	2
Uniform asymptotic expansions for Bessel functions of imaginary order and their zeros	2
The heat kernel associated with generalized Kontorovich–Lebedev transform	2
On Neumann series of Macdonald functions	2
Evaluating six Apéry-like series of weight 5	2
End-point estimates of the totally-geodesic Radon transform on spaces of constant curvature: a unified approach	2
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	2
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	2
Weighted integrability of Fourier–Jacobi transforms	2
The h-Fourier sine-Laplace discrete generalized convolution on time scale	2
The symmetric D_w-Laguerre–Hahn orthogonal polynomial of class one	2
New cases of Hankel operator diagonalization	2
On the generalized Dunkl Dini–Lipschitz spaces	2
New identities for the Laplace transform and their applications	2
Spectrogram analysis associated with the Sturm–Liouville multiplier operators	2
The algebra of difference operators associated to Meixner type polynomials	2
On modular forms and Domb numbers	2
On some relations in the class of multi-index Mittag-Leffler functions	1
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	1
Poisson summation formula and index transforms	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
Boas-type results for Mellin transform	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
Fractional moments	1
Uniform upper bounds and asymptotic expansions for certain index kernels	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
The L ₂ -Ritt's type integro-differential operators of the real Lebedev–Skalskaya transform revisited	1
On the algebraic structure of Mehler–Fock–Clifford convolution and applications	1
Bell polynomials and generalized Laplace transforms	1
Some expansion formulas for Brenke polynomial sets	1
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	1
New Mittag-Leffler type functions from solving fractional pantograph differential equations	1
Polynomial approximation using Gegenbauer polynomials	1

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 a ℂ²-valued integral index transform and bilateral hypergeometric series	1
On some integrals of Ramanujan type	1
Directional Stockwell transform in L²(ℝⁿ)	1
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	1
A note on wavelet packet summation methods	1
Some Fourier transforms involving confluent hypergeometric functions	1
On a class of multidimensional fractional Stockwell transform and uncertainty principles	1
Polynomial sequences associated with the fractional Pascal measure	1
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	1
On connection between zeros and d -orthogonality	1
Some evaluations of parametric Euler type sums of harmonic numbers	1
On some integrals involving the inverse tangent integrals	1
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	1
Other family of cubic decomposition of a semiclassical form of class one	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	1
Inequalities for ratios of modified Struve functions	1
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
Wavelet convolutors on the space of distributions	1
A novel special affine convolution and short time special affine Fourier transform	1
A note on the operator norm of the Laplace transformation	1
The convolution estimates and Parseval–Goldstein type theorem in the framework of generalized Kontorovich–Lebedev transforms	1
Uniqueness and stability for a seismic-type generalized Radon transform	1
On some properties of the Neumann polynomials	1
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
Characterizations of the gyrator transform via the fractional Fourier transform	1