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On a New Summation Formula for ð Ÿ ð œ“ ð Ÿ Basic Bilateral Hypergeometric Series and Its Applications

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  • D. D. Somashekara
  • K. Narasimha Murthy
  • S. L. Shalini

Abstract

We have obtained a new summation formula for 2 𠜓 2 bilateral basic hypergeometric series by the method of parameter augmentation and demonstrated its various uses leading to some development of etafunctions, 𠑞 -gamma, and 𠑞 -beta function identities.

Suggested Citation

  • D. D. Somashekara & K. Narasimha Murthy & S. L. Shalini, 2011. "On a New Summation Formula for ð Ÿ ð œ“ ð Ÿ Basic Bilateral Hypergeometric Series and Its Applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-7, March.
    • Handle: RePEc:hin:jijmms:132081
    DOI: 10.1155/2011/132081
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