OOIR: Observatory of International Research

Papers

(The TQCC of Integral Transforms and Special Functions is 2. 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
Third-degree semiclassical forms of class one arising from cubic decomposition	8
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
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
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
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
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
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
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
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
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
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