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On certain new Bailey pairs and their applications. (English) Zbl 1474.33066

Summary: In this paper, we have established certain new Bailey pairs which have been used to obtain transformation formulae for \(q\)-series.

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
33D90 Applications of basic hypergeometric functions
11A55 Continued fractions
11F20 Dedekind eta function, Dedekind sums
33F05 Numerical approximation and evaluation of special functions
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References:

[1] Bailey, W.N., Some identities in combinatory analysis, Proc. London Math. Soc., 49 (1947) p. 421-435. · Zbl 0041.03403
[2] Bailey, W.N., Identities of the Rogers-Ramanujan type, Proc. London Math Soc., 50 (1949) p. 1-10. · Zbl 0031.39203
[3] Verma, A. and Jain, V.K.,
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