Results 31 to 40 of about 163 (124)
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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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
doaj +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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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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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
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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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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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
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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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