Results 41 to 50 of about 214 (120)
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Y‐function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric‐type functions. Applying the Marichev–Saigo–Maeda fractional integration and differentiation operators of any complex order to the Y‐function, this study establishes four ...
Engdasew Birhane +2 more
wiley +1 more source
Integral Representations of Functional Series with Members Containing Jacobi Polynomials [PDF]
, 2012 MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi ...
Jankov, Dragana, Pogany, Tibor K.
core
Linearization and connection formulae involving squares of Gegenbauer polynomials
, 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
core +1 more source
On the Generalized Class of Multivariable Humbert‐Type Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc.
B. B. Jaimini +4 more
wiley +1 more source
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
core
Compatible pairs of orthogonal polynomials [PDF]
, 1999 19 pages, no figures.-- MSC1991 code: 33C45.MR#: MR1736624 (2001a:33009)Zbl#: Zbl 0944.33012We find necessary and sufficient conditions for an orthogonal polynomial system to be compatible with another orthogonal polynomial system.
Lee, D. W. +3 more
core +2 more sources
Some generalizations of the Jacobsthal numbers
, 2010 The main object of this paper is to introduce and investigate some proper- ties and relations involving sequences of numbers Fn,m(r), for m = 2, 3, 4, and r is some real number.
Gospava Djordjevic
core +1 more source
Some properties of zeros of Sobolev-type orthogonal polynomials [PDF]
, 1996 9 pages, no figures.-- MSC1991 code: 33C45.MR#: MR1391618 (97f:33008)Zbl#: Zbl 0862.33005For polynomials orthogonal with respect to a discrete Sobolev product, we prove that, for each n, Qn has at least n − m zeros on the convex hull of the support of ...
López Lagomasino, Guillermo +2 more
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Demonstratio MathematicaThe main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal,
Sadri Khadijeh +5 more
doaj +1 more source
Umbral Methods and Harmonic Numbers
Axioms, 2018 The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli +3 more
doaj +1 more source