OOIR: Observatory of International Research

Papers

(The median citation count 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 2020-03-01 to 2024-03-01.)

Article	Citations
k-Hankel two-wavelet theory and localization operators	17
A new product formula involving Bessel functions	14
Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables	13
Fourier-Bessel transforms and generalized uniform Lipschitz classes	13
Linear canonical wave packet transform	12
On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)	10
On the fractional Bessel operator	10
A concavity property of the complete elliptic integral of the first kind	8
Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators	8
Computing expansions coefficients for Laguerre polynomials	8
Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l}	8
On some formulas for the Horn functions H₅ (a, b; c;w, z) and (a; c;w, z)	8
Harmonic analysis associated to the canonical Fourier Bessel transform	8
Third-degree semiclassical forms of class one arising from cubic decomposition	8
On the extension of the coupled fractional Fourier transform and its properties	7
Euler-like sums via powers of log, arctan and arctanh functions	7
On some formulas for the Horn functions G₁ (a, b, b′;w, z) and Γ₂ (b, b′;w, z)	7
Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation	7
Macdonald's identities and integral representations of products of Airy functions	7
Analytic continuation of Lauricella's functions , and	6
A generalized sextic Freud weight	6
A convolution-based special affine wavelet transform	6
On some formulas for the Horn functions H₁(a,b,c;d;w,z) and H₁^(c)(a,b;d;w,z)	6
Mikusiński's operational calculus for Prabhakar fractional calculus	6
Symbolic computations via Fourier–Legendre expansions and fractional operators	6

A concavity property of generalized complete elliptic integrals	6
Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l	6
A general class of integral transforms and an expression for their convolution formulas	5
On some formulas for the Horn functions H₄(a, b; c, c′;w, z) and H₇^(c) (a; c, c′;w, z)	5
On some formulas for the Horn function H₂ (a, ,b, ,c, ,c′; d; w, z) and confluent Horn function (a, b, c; d; w, z)	5
Uncertainty principles for the Opdam–Cherednik transform on modulation spaces	5
Fractional integrals with measure in grand Lebesgue and Morrey spaces	5
Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators	5
Remark on a Mittag–Leffler function of Le Roy type	5
Inversion of seismic-type Radon transforms on the plane	5
On some formulas for the Horn function H₇(a, b, b′; c; w, z)	4
On the Hankel transform of functions from Nikol'ski type classes	4
Uncertainty principles for the windowed Hankel transform	4
Quantitative uncertainty principles associated with the directional short-time Fourier transform	4
Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates	4
On some formulas for the Horn functions G₂ (a, a′, b, b′; w, z), G₃ (a, a′; w, z) and Γ₁ (a, b, b′; w, z)	4
Fourier series for coherent pairs of Jacobi measures	4
On some formulas for the Horn functions H₃ (a, b; c; w, z), (a; c; w, z) and Humbert function Φ₃(b; c; w, z)	4
Fractional integrals for the Weinstein operator	3
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	3
Generalization of Titchmarsh's theorem for the modified Whittaker transform	3
Uncertainty principles in linear canonical domains	3
Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S	3
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution	3
On the generalized Dunkl Dini–Lipschitz spaces	3
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type	3
Lebedev–Skalskaya transforms and allied operators on certain function spaces	3
Generalization of Titchmarsh's theorems for the Minkowski algebra	3
Jacobi-type functions defined by fractional Bessel derivatives	3
Heisenberg type uncertainty principle for the Gabor spherical mean transform	3
Some evaluations of parametric Euler type sums of harmonic numbers	2
Non-homogeneous wave equation on a cone	2
A new asymptotic representation and inversion method for the Student's t distribution	2
Some properties relating to the Mittag–Leffler function of two variables	2
Structure, boundedness, and convergence in the dual of a Hankel-K{M_p} space	2
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals	2
Bell polynomials and generalized Laplace transforms	2
Discrete Lebedev–Skalskaya transforms	2
Horn's hypergeometric functions with three variables	2
Spherical Fourier transform on the quaternionic Heisenberg group	2
Expressing Hilbert and Riesz transforms in terms of wavelet transforms	2
Hyponormal Toeplitz operators on weighted Bergman spaces	2
Linear and nonlinear Bessel potentials associated with the Poly-axially operator	2
On the multiple spectrum of a problem for the Bessel equation	2
On the theory of orthogonal polynomials for the weight x^ν exp (−x − t/x). I	2
On the zeros of some d-orthogonal polynomials	2
On spherical analogues of the classical theorems of Titchmarsh	2
An extension of Maass theory to general Dirichlet series	2
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	2
Indefinite integrals involving the exponential integral function	2

On the characterizations of third-degree semiclassical forms via polynomial mappings	2
On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties	2
Convergence of two-dimensional hypergeometric series for algebraic functions	2
Lipschitz–Hankel identities and integral representations of toroidal functions	2
Some basic hypergeometric transformations and Rogers–Ramanujan type identities	2
Lie-type operational approach to modified 2D-Laguerre polynomials	1
On some formulas for the confluent Horn functions H₃^(c) (a, b, c; d; w, z), H₄^(c) (a, c; d; w, z) and H₉^(c) (a, b; c; w, z)	1
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	1
Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
A new linear inversion formula for a class of hypergeometric polynomials	1
The continuous fractional Bessel wavelet transform and its applications	1
On a second type Neumann series of modified Bessel functions of the first kind	1
On Meijer's G function G^m,n_p,p for m + n = p	1
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree	1
Analogues of Beurling's theorem for some integral transforms	1
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials	1
Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle	1
Some integral operators and their relation to multidimensional Fourier-Bessel transform on L_α²(ℝ₊ⁿ) and applications	1
The h-Fourier sine-Laplace discrete generalized convolution on time scale	1
The convolution product is for exponential kernels transforms. Composition is suggested for other transforms	1
Binomial polynomials mimicking Riemann's zeta function	1
A functional identity for Mahler measures of non-tempered polynomials	1
Discrete Hahn-classicald-orthogonal polynomials	1
Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation	1
Lebedev identities and integral representations of products of Hermite functions	1
Explicit evaluation of some integrals involving polylogarithm functions	1
Indefinite integrals for some orthogonal polynomials obtained using integrating factors	1
On the theory of orthogonal polynomials for the weight xνexp⁡(−x−t/x). II	1
On the Laguerre fractional integro-differentiation	1
Inequalities related to spherical harmonics associated with the Weinstein operator	1
Time–frequency analysis associated with the generalized Wigner transform	1
Analytic continuation of the Kampé de Fériet function and the general double Horn series	1
Indefinite integrals from Wronskians and related linear second-order differential equations	1
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
Indefinite integrals involving Jacobi polynomials from integrating factors	1
Directional Stockwell transform in L²(ℝⁿ)	1
Calderón's reproducing formulas for the poly-axially L_α²-multiplier operators	1
On matrix Cauchy biorthogonal polynomials	1
Construction of modular function bases for Γ₀(121) related to p(11n+6)	1
Some results on Dunkl-coherent Pairs	1
Relationships between the *_w-product and the generalized integral transforms	1
Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters	1
Binomial identities obtained from the Gegenbauer series expansion	1
Uniformly convergent expansions for the generalized hypergeometric functions _p_–1F_p and _pF_p	1
Relations for a class of terminating ₄F₃(4) hypergeometric series	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
Integrals of polylogarithms and infinite series involving generalized harmonic numbers	1
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	1
Weighted integrability of Fourier–Jacobi transforms	1
Fractional moments	1
On the properties of zeros of Bessel series in the real line	1
Operational rules and d-orthogonal polynomials of Laguerre type	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
The Fourier transform of a function related to cylinder functions and asymptotic expansions with logarithmic terms	1
Product formula for the one-dimensional (k,a) -generalized Fourier kernel	1
Generalized Lambert-type transforms over integrable Boehmians	1
Infinite series involving harmonic numbers of convergence rate 1/2	1