Results 11 to 20 of about 175 (89)
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polynomials and their generating functions.
Mulualem Aychluh +4 more
wiley +2 more sources
Various results in relation with the hypergeometric equations and the hypergeometric functions in the complex plane [PDF]
, 2020 The main purpose of this investigation is to specify an extensive relation between the hypergeometric functions and the hypergeometric equations in the complex plane and then to point various implications of our main result, conclusion and also ...
IRMAK, Hüseyin
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Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter [PDF]
, 2020 In this paper, we introduce a new class of degenerate Hermite polyBernoulli polynomials with q-parameter and give some identities of these polynomials related to the Stirling numbers of the second kind.
KHAN, Idrees A. +2 more
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Linearization and connection formulae involving squares of Gegenbauer polynomials [PDF]
, 2001 7 pages, no figures.-- MSC2000 code: 33C45.MR#: MR1820610 (2003c:33014)Zbl#: Zbl 0978.33003Several linearization-like and connection-like formulae relating the classical Gegenbauer polynomials and their squares are obtained using a theorem of the theory ...
Sánchez-Ruiz, Jorge, Sánchez-Ruiz, J.
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Estimating the Hurst Parameter
, 2007 60F05, 60G15, 60G18, 62F12, 33C45, central limit theorem, estimation, fractional Brownian motion, Gaussian processes, Hermite polynomials,
Corinne Berzin +3 more
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Equiconvergence and equisummability of Jacobi series [PDF]
, 2011 2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi ...
Boychev, Georgi
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International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 10, Page 673-689, 2000., 2000 We give explicitly the recurrence coefficients of a nonsymmetric semi‐classical sequence of polynomials of class s = 1. This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1 − μ) > 0 in such a way that for μ = 0 one has the well‐known Jacobi ...
Mohamed Jalel Atia
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman +5 more
wiley +1 more source
On 2‐orthogonal polynomials of Laguerre type
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 29-48, 1999., 1999 Let be a sequence of 2‐orthogonal monic polynomials relative to linear functionals ω0 and ω1 (see Definition 1.1). Now, let be the sequence of polynomials defined by . When is, also, 2‐orthogonal, is called “classical” (in the sense of having the Hahn property). In this case, both and satisfy a third‐order recurrence relation (see below).
Khalfa Douak
wiley +1 more source
Hermite Series with Polar Singularities [PDF]
, 2012 MSC 2010: 33C45, 40G05Series in Hermite polynomials with poles on the boundaries of their regions of convergence are ...
Boychev, Georgi S.
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