A SUMMATION FORMULAE FOR BILATERAL BASIC HYPERGEOMETRIC SERIES

Authors

  • M. M. Eltikali Department of Mathematics, Faculty of Art and Sciences Benghazi University, Al-wahat, Libya
  • T. M. Elfrgani Department of Mathematics, Faculty of Sciences Benghazi University, Libya

Keywords:

Basic hypergeometric series, truncated series, decomposition method and summation formula.

Abstract

https://doi.org/10.55843/ivisum26111137e

 

In this paper, making use of decomposition of series method, and knowing summation formulae for truncated series to drive certain interesting transformation involving bilateral basic hypergeometric series.

References

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pp. 525-536.

Singh S., Summation formulae for bilateral basic hypergeometric series and extended bilateral Bailey transform, South East Asian J. Math and Math Sc. vol. 10, No. 2(2011), pp. 41-51.

Vasuki K. R and Chamaraju C., A simple proof of W. N. Bailey´s 2ψ2 bilateral basic hypergeometric series transformation formula, Math. Student 80, No. 1-4(2011),

pp. 165-169

Verma A. Jain V. K., Certain summation formulae for q-series, Jour. Indian Math. Soc. 1983; 47; 71-85.

Zhang Z. and Qiuxia H., A transformatin formula for a special bilateral basic hy-pergeometric 12ψ12 series, Acta Math. Univ. Comenianae 2(2009), pp. 201-203.

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Published

2026-03-01

How to Cite

Eltikali, M., & Elfrgani, T. (2026). A SUMMATION FORMULAE FOR BILATERAL BASIC HYPERGEOMETRIC SERIES. International Scientific Journal Vision, 11(1), 137–142. Retrieved from https://visionjournal.edu.mk/social/index.php/1/article/view/244