Some generating functions of Jacobi polynomials
B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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Displaying similar documents to “Generating functions for Jacobi and Laguerre polynomials”
Some generating functions of Jacobi polynomials
Some new bilateral generating functions involving Jacobi polynomials
H. L. Manocha, H. R. Sharma (1970)
Matematički Vesnik
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Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials
Christophe Smet, Walter Van Assche (2009)
Acta Arithmetica
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Products of several Jacobi or Laguerre polynomials
Bruno Gabutti (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Nonnegative linearization for orthogonal polynomials with eventually constant Jacobi parameters
Wojciech Młotkowski (2010)
Banach Center Publications
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We study the nonnegative product linearization property for polynomials with eventually constant Jacobi parameters. For some special cases a necessary and sufficient condition for this property is provided.
On the denseness of Jacobi polynomials.
Yadav, Sarjoo Prasad (2004)
International Journal of Mathematics and Mathematical Sciences
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Equiconvergence and equisummability of Jacobi series
Boychev, Georgi (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.
A note on Jacobi polynomials
Prabhakar Raghunath Khandekar (1963)
Rendiconti del Seminario Matematico della Università di Padova
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Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials
Marčoková, Mariana, Guldan, Vladimír
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In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.
Some extensions of Bateman's product formulas for the Jacobi polynomials.
Chen, Ming-Po, Srivastava, H.M. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Integral Representations of Functional Series with Members Containing Jacobi Polynomials
Jankov, Dragana, Pogany, Tibor K. (2012)
Mathematica Balkanica New Series
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MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10 In 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 polynomials.
On Bessel, Jacobi and Laguerre polynomials
H. M. Srivastava (1965)
Rendiconti del Seminario Matematico della Università di Padova
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