The Fourth and Eighth Order Mock Theta Functions

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 1,  2010, pp.165-175
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.1.165
Title & Authors
The Fourth and Eighth Order Mock Theta Functions

Abstract
In the paper we consider deemed three mock theta functions introduced by Hikami. We have given their alternative expressions in double summation analogous to Hecke type expansion. In proving we also give a new Bailey pair relative to $\small{a^2}$. I presume they will be helpful in getting fundamental transformations.
Keywords
Mock theta functions;Basic hypergeometric series;Bailey pair;
Language
English
Cited by
References
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