Results 31 to 40 of about 175 (89)
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
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
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
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
Zeros of Jacobi-Sobolev orthogonal polynomials [PDF]
, 2003 10 pages, no figures.-- MSC2000 codes: 33C45.MR#: MR2027148 (2004m:33017)Zbl#: Zbl pre05376428We investigate zeros of Jacobi-Sobolev orthogonal polynomials with respect to $$\multline \langle f, g\rangle = \int_{-1}^1 f(x)g(x)(1-x)^{ \alpha }(1+x)^{\beta}
Yoon, G. J. +3 more
core +2 more sources
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 ...
Arvesú Carballo, Jorge +2 more
core +2 more sources
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
core +1 more source
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
Modification of linear functionals with Dirac masses: Class of the modified linear functional [PDF]
, 2004 20 pages, no figures.-- MSC2000 codes: Primary 33C45, Secondary 46F10, 47A57.MR#: MR2144880 (2006j:33009)In this paper we analyze modifications of some classical linear functionals.
Marcellán, Francisco +4 more
core +3 more sources
Sobolev orthogonal polynomials in the complex plane [PDF]
, 2001 12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.MR#: MR1808575 (2001j:30006)Zbl#: Zbl 0973.42015Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev
López Lagomasino, Guillermo +6 more
core +1 more source