A COMPREHENSIVE STUDY OF SECOND ORDER MOCK THETA FUNCTIONS

Bhaskar Srivastava

doi:10.4134/bkms.2005.42.4.889

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JOURNAL ARTICLE

A COMPREHENSIVE STUDY OF SECOND ORDER MOCK THETA FUNCTIONS

Bhaskar Srivastava

Year: 2005 Journal: Bulletin of the Korean Mathematical Society Vol: 42 (4)Pages: 889-900 Publisher: Korean Mathematical Society

DOI: 10.4134/bkms.2005.42.4.889

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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.

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Mathematics Order (exchange) Representation (politics) Pure mathematics Algebra over a field Function (biology)

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Advanced Mathematical Identities

Physical Sciences → Mathematics → Algebra and Number Theory

Analytic Number Theory Research

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

A COMPREHENSIVE STUDY OF SECOND ORDER MOCK THETA FUNCTIONS

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