Results 21 to 30 of about 175 (89)
Orthogonality of linear combinations of two orthogonal polynomial sequences [PDF]
, 2001 14 pages, no figures.-- MSC2000 code: 33C45.MR#: MR1865881 (2002j:33009)Zbl#: Zbl 0990.42007We find necessary and sufficient conditions for some linear combinations of two sequences of orthogonal polynomials to be again orthogonal.The first author (K.H.K.
Marcellán, Francisco +6 more
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Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function [PDF]
, 2013 Necessary and sufficient conditions for absence of zeros of the function ζ(s), s=σ+it, in the half-plane σ>θ, 1/2 ...
Rusev, Peter
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A Family of Hybrid Functions Generated by the Composition of Bessel and Mittag–Leffler Functions
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we employ a symbolic technique to introduce a new family of Mittag–Leffler–Bessel functions (MLBFs), formed by compositionally combining the classical Bessel functions of the first kind with the three‐parameter Mittag–Leffler function.
Maged G. Bin-Saad +2 more
wiley +1 more source
Integral Representations for the Product of Krawtchouk, Meixner, Charlier and Gottlieb Polynomials [PDF]
, 2011 The present paper deals with an integral representations for the product of two polynomials. Some hypergeometric form for the product of two polynomials are also indicated in the given note.
Ahmad Mumtaz +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose a projection method that utilizes shifted airfoil polynomials to solve systems of weakly singular fractional integro‐differential equations (FIDEs). The proposed approach converts the original system into two linear algebraic systems, facilitating efficient numerical solutions.
Saeed Althubiti, Chang Phang
wiley +1 more source
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions [PDF]
, 2012 MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1)
Shilin, Ilya
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Върху някои неравенства за полиноми с реални нули
, 2022 [Nikolov Geno; Николов Гено]We review certain inequalities satisfied by real-root polynomials, which are a refinement of the Jensen inequalities for functions from the Laguerre–Polya class.
Nikolov, Geno
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On the Poisson-Charlier Polynomials [PDF]
, 2015 In this paper the Poisson-Charlier polynomials are introduced. Some of their recurrence relations are presented. Various families of bilinear and bilateral generating functions for these polynomials are derived.
Özmen, Nejla, Erkuş-Duman, Esra
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Construction of the Shifted Modified Gegenbauer Polynomials and Approximation
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This article is concerned with deriving a new system of orthogonal polynomials, derived from the Gegenbauer polynomials, modified by affine transforms in variable, named shifted Gegenbauer polynomials. They appear as solutions of linear differential equation.
Abdelhamid Rehouma +2 more
wiley +1 more source
A Note on a Classical Generating Function for the Jacobi Polynomials [PDF]
, 2005 Mathematics Subject Classification: 33C45.A more general form for a classical generating function for the Jacobi polynomials is given.* Partially supported by Project MM 1305 - National Science Fund, Bulgarian Ministry of Educ ...
Rusev, Peter
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