Results 31 to 40 of about 214 (120)
An inverse problem related to 2-orthogonal polynomials
Open MathematicsThis paper is interested in the analysis of the 2-orthogonality of a monic polynomial sequence {Qn}n≥0 ${\left\{{Q}_{n}\right\}}_{n\ge 0}$ constructed as a linear combination of a sequence of monic 2-orthogonal polynomials {Pn}n≥0 ${\left\{{P}_{n}\right\
Oztepe Gizem S., Varma Serhan
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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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On Laguerre-Sobolev matrix orthogonal polynomials
Open MathematicsIn this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by ⟨p,q⟩S≔∫0∞p*(x)WLA(x)q(x)dx+M∫0∞(p′(x))*W(x)q′(x)dx,{\langle p,q\rangle }_ ...
Fuentes Edinson +2 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
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
core
Some new forms and properties of Legendre matrix polynomials with two variables
Demonstratio MathematicaThis paper aims to introduce new significant forms of the Legendre matrix polynomials (LMPs) with two variables, and establish matrix differential recurrence relations and matrix partial differential recurrence relations for LMPs with two variables, and ...
Khammash Ghazi S. +3 more
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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
core
An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials [PDF]
, 2005 11 pages, no figures.-- AMS1991 codes: Primary 33C45, secondary 42C05.MR#: MR2149267 (2006e:33007)Zbl#: Zbl 1078.42017Polynomials orthogonal with respect to a perturbation of the Freud weight function, by the addition of a mass point at zero, are ...
Marcellán, Francisco +4 more
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On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials
Demonstratio MathematicaThis paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra +4 more
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