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Bilateral generating functions for a new class of generalized Legendre polynominals

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  • A. N. Srivastava
  • S. D. Singh
  • S. N. Singh

Abstract

Recently Chatterjea (1) has proved a theorem to deduce a bilateral generating function for the Ultraspherical polynomials. In the present paper an attempt has been made to give a general version of Chatterjea's theorem. Finally, the theorem has been specialized to obtain a bilateral generating function for a class of polynomials { P n ( x ; α , β ) } introduced by Bhattacharjya (2).

Suggested Citation

  • A. N. Srivastava & S. D. Singh & S. N. Singh, 1980. "Bilateral generating functions for a new class of generalized Legendre polynominals," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 3, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:854194
    DOI: 10.1155/S0161171280000221
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