Some generating functions of Jacobi polynomials
B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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H. L. Manocha, H. R. Sharma (1970)
Matematički Vesnik
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H. L. Manocha (1974)
Matematički Vesnik
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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.
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.
Yadav, Sarjoo Prasad (2004)
International Journal of Mathematics and Mathematical Sciences
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Bruno Gabutti (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Prabhakar Raghunath Khandekar (1963)
Rendiconti del Seminario Matematico della Università di Padova
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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.
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.
Chen, Ming-Po, Srivastava, H.M. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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