Displaying similar documents to “A correction to the paper 'A multiplier theorem for Jacobi expansion' Studia Math. 52 (1975), pp. 234-261”

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.

Jacobi's Triple Product Identity and the Quintuple Product Identity

Wenchang Chu (2007)

Bollettino dell'Unione Matematica Italiana

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The simplest proof of Jacobi's triple product identity originally due to Cauchy (1843) and Gauss (1866) is reviewed. In the same spirit, we prove by means of induction principle and finite difference method, a finite form of the quintuple product identity. Similarly, the induction principle will be used to give a new proof of another algebraic identity due to Guo and Zeng (2005), which can be considered as another finite form of the quintuple product identity.