Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2005; 42(4): 889-900

Printed December 1, 2005

Copyright © The Korean Mathematical Society.

A comprehensive study of second order mock theta functions

Bhaskar Srivastava

Lucknow University

Abstract

We consider the second order mock theta functions defined by McIntosh and define generalized functions. We give integral representation and multibasic expansion of these functions. We also show that they are $F_q$-functions.

Keywords: Mock theta functions, $q$-multibasic series

MSC numbers: 11B65, 33D15

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