A SUMMATION FORMULAE FOR BILATERAL BASIC HYPERGEOMETRIC SERIES
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
Agarwal R. P., Resonance of Ramanujan´s Mathematics, vol.(I), New Age Intern. Ltd., New Delhi (1996).
Andrews G. E. Askey R. A. Roy R. , Special Functions, Cambridge University Press, 1999.
Gasper G. Rahman M. Basic Hypergeometric Series, Cambridge University Press, Cambridge 1991.
Pankaj S., Tunis E., Ajit P. and Mahmod E., A note on transformation formulae for bilateral basic hypergeometric series , Int. J. of App. Math., vol (26), No. 5(2013),
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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Copyright (c) 2026 M. M. Eltikali , T. M. Elfrgani

This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).



