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Certain results involving q-hypergeometric series and Ramanujan’s mock theta functions. (English) Zbl 07873006

Summary: In this paper certain transformation formulas for q-hypergeometric series have been established. In another section of this paper, results involving mock theta functions have also been established.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
32A30 Other generalizations of function theory of one complex variable
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
Full Text: DOI

References:

[1] Agarwal, R. P., Resonance of Ramanujan Mathematics, Vol. II, New Age International (P) Limited, New Delhi, 1996. · Zbl 0976.11001
[2] Bailey, W. N., Identities of the Rogers-Ramanujan type, Proc. London Math-ematical Society, Volume s2-50, Issue 1, (1948), 1-10. · Zbl 0031.39203
[3] Gasper, G. and Rahman, M., Basic hypergeometric series, second edition, Cambridge University Press, 2004. · Zbl 1129.33005
[4] Pant, G. S., Pande, V. P. and Mohammad Shahjade, Transformation formulae involving partial mock theta functions, J. of Ramanujan Society of Math. and Math. Sc., Vol. 5, No. 2 (2016), 99-112. · Zbl 1405.11058
[5] Sharma, S. and Rana, M., Combinatorics of third order mock theta function f (q) and sixth order mock theta functions ϕ(q), ψ(q), J. of Ramanujan Society of Mathematics and Mathematical Sciences, Vol. 7, No. 1 (2019), 31-36. · Zbl 1448.05014
[6] Singh, Satya Prakash and Singh, Ashish Pratap, On certain results involving square of Ramanujan’s mock theta functions, South East Asian J. of Math-ematics and Mathematical Sciences, Volume, 19, Issue, 2 (2023), 157-162. · Zbl 07828510
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