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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Displaying similar documents to “A note on Jacobi polynomials”
Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials
Some generating functions of Jacobi polynomials
B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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Some new bilateral generating functions involving Jacobi polynomials
H. L. Manocha, H. R. Sharma (1970)
Matematički Vesnik
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Generating functions for Jacobi and Laguerre polynomials
H. L. Manocha (1974)
Matematički Vesnik
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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.
Generating functions on extended Jacobi polynomials from Lie group view point.
Manik Chandra Mukherjee (1996)
Publicacions Matemàtiques
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Generating functions play a large role in the study of special functions. The present paper deals with the derivation of some novel generating functions of extended Jacobi polynomials by the application of [the] group-theoretic method introduced by Louis Weisner. In fact, by suitably interpreting the index (n) and the parameter (β) of the polynomial under consideration we define four linear partial differential operators and on showing that they generate a Lie-algebra, we obtain a new...
Products of several Jacobi or Laguerre polynomials
Bruno Gabutti (1984)
Rendiconti del Seminario Matematico della Università di Padova
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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 Legendre polynomials
S. K. Chatterjea (1960)
Rendiconti del Seminario Matematico della Università di Padova
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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.