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 2021-09-01 to 2025-09-01.)

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	8
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	7
Analytic continuation of the Kampé de Fériet function and the general double Horn series	7
Multidimensional continuous Bessel wavelet transform: properties and applications	7
On polynomial transformations preserving purely imaginary zeros*	7
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	7
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	6
Wavelet transform associated with Dunkl transform	5
Binomial identities obtained from the Gegenbauer series expansion	5
Finite-part integration of the Hilbert transform	5
Explicit expressions for one family of the four parametric linear Euler sums	4
The μ ^th order Mehler–Fock transform and allied pseudo-differential operator	4
On a determinant involving the volume of the unit ball in	4
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	4
Quantitative uncertainty principles for the Gabor spherical mean transform	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
Leibniz rules for fractional derivatives of non-differentiable functions	4
Convolution theorem for the windowed linear canonical transform	4
Some integral representations for the Faxén function	4

Laplace transform method for the radially deformed Fourier transform	3
The heat kernel associated with generalized Kontorovich–Lebedev transform	3
Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions II	3
The continuous Mehler–Fock wavelet packets transform	3
Correction	3
Series representations of all branches of the Lambert W function	3
Mean value inequalities for the Riemann zeta function	3
Kontorovich–Lebedev wavelet transform on Besov type spaces	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
Basis property of the root functions of a class of nonlocal differential operators	3
On certain subclass of multivalent functions associated with Bessel functions	3
On the zeros of some d-orthogonal polynomials	3
Bessel operator with Jacobi polynomial integration	3
Uniform asymptotic expansions for Bessel functions of imaginary order and their zeros	2
Linear canonical Jacobi–Dunkl wavelet transform	2
Spectrogram analysis associated with the Sturm–Liouville multiplier operators	2
Weighted integrability of Fourier–Jacobi transforms	2
New identities for the Laplace transform and their applications	2
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	2
Contiguous values for a class of nonterminating ₃F₂(1)-series	2
On modular forms and Domb numbers	2
The algebra of difference operators associated to Meixner type polynomials	2
On Neumann series of Macdonald functions	2
New cases of Hankel operator diagonalization	2
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	2
A note on the bilateral binomial theorem	2
On the generalized Dunkl Dini–Lipschitz spaces	2
Evaluating six Apéry-like series of weight 5	2
The h-Fourier sine-Laplace discrete generalized convolution on time scale	2
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	2
The symmetric D_w-Laguerre–Hahn orthogonal polynomial of class one	2
End-point estimates of the totally-geodesic Radon transform on spaces of constant curvature: a unified approach	2
Generalized absolute convergence of Fourier-Jacobi expansions	2
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	2
On a ℂ²-valued integral index transform and bilateral hypergeometric series	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
Polynomial sequences associated with the fractional Pascal measure	1
A novel special affine convolution and short time special affine Fourier transform	1
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	1
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	1
Directional Stockwell transform in L²(ℝⁿ)	1
On some relations in the class of multi-index Mittag-Leffler functions	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
Uniqueness and stability for a seismic-type generalized Radon transform	1
On some integrals of Ramanujan type	1
Inequalities for ratios of modified Struve functions	1

Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
A note on wavelet packet summation methods	1
Wavelet convolutors on the space of distributions	1
Bell polynomials and generalized Laplace transforms	1
The L ₂ -Ritt's type integro-differential operators of the real Lebedev–Skalskaya transform revisited	1
Characterizations of the gyrator transform via the fractional Fourier transform	1
Poisson summation formula and index transforms	1
Other family of cubic decomposition of a semiclassical form of class one	1
Some Fourier transforms involving confluent hypergeometric functions	1
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	1
Some evaluations of parametric Euler type sums of harmonic numbers	1
Explicit, recurrent, determinantal expressions of the k th power of formal power series and applications to the generalized Bernoulli numbers	1
New Mittag-Leffler type functions from solving fractional pantograph differential equations	1
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	1
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	1
Boas-type results for Mellin transform	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
A note on the operator norm of the Laplace transformation	1
Polynomial approximation using Gegenbauer polynomials	1
On some properties of the Neumann polynomials	1
The convolution estimates and Parseval–Goldstein type theorem in the framework of generalized Kontorovich–Lebedev transforms	1
On the algebraic structure of Mehler–Fock–Clifford convolution and applications	1
On connection between zeros and d -orthogonality	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
Generalization of Titchmarsh's theorems for the Minkowski algebra	1
On some integrals involving the inverse tangent integrals	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
Some expansion formulas for Brenke polynomial sets	1
Generalization of Titchmarsh's theorem for the modified Whittaker transform	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
Fractional moments	1
Uniform upper bounds and asymptotic expansions for certain index kernels	1