On certain results involving square of Ramanujan’s mock theta functions. (English) Zbl 07828510
Summary: In this paper, making use of an identity deduced from Bailey’s transform, certain results have been established involving the square of Ramanujan’s mock theta functions.
MSC:
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
| 33D45 | Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) |
References:
| [1] | Agarwal, R. P., Resonance of Ramanujan’s Mathematics, Volume II, New Age International (P) Limited, New Delhi, 1996. · Zbl 0976.11001 |
| [2] | Ahmad Ali, S., A bilateral extension of second order mock theta functions, South East Asian Journal of Mathematics and Mathematical Sciences, Vol. 6, No. 2 (2008), 121-122. · Zbl 1221.11114 |
| [3] | Bailey, W. N., Identities of Rogers-Ramanujan type, Proc. London Mathe-matical Society, Volume s2-50, Issue 1 (1948), 1-10. · Zbl 0031.39203 |
| [4] | Chand, K. B., Pant, G. S., Pande, V. P., Product Formulas for mock theta functions, South East Asian Journal of Mathematics and Mathematical Sci-ences, Vol. 12, No. 1 (2016), 87-94. · Zbl 1488.05030 |
| [5] | Denis, Remy Y., Singh, S. N. and Singh, S. P., On single series representation of mock theta functions of fifth and seventh order, Ital. J. Pure Appl. Math., No. 23 (2008), 67-74. · Zbl 1179.33023 |
| [6] | Pant, G. S., Pande, V. P. and Mohammad, Shahjade, Transformation For-mula involving partial mock-theta functions, Journal of Ramanujan Society of Mathematics and Mathematical Sciences, Vol. 5, No. 2 (2016), 99-112. · Zbl 1405.11058 |
| [7] | Singh, Satya Prakash, Mishra, Bindu Prakash, On Certain Results Involving Mock-Theta Functions, Journal of Ramanujan Society of Mathematics and Mathematical Sciences, Vol. 1, No. 1 (2012), 7-16. · Zbl 1446.33012 |
| [8] | Singh, Satya Prakash, A note on mock theta functions of order three and continued fractions, Proc. Nat. Acad. Sci. India Sect. A Phys. Sci., 76, No. 3 (2006), 205-207. · Zbl 1154.33009 |
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