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Some identities of certain basic hypergeometric series and their applications to mock theta functions (Journal Article)

By:

Zhang, Zhizheng

Contributor(s):

Song, Hanfei

Material type: Text

TextSeries: Indian Journal of Pure and Applied Mathematics ; , Volume 54: Number 4, December 2023Publication details: New Delhi , 2023Description: 1214-1225pISSN:

0019-5588

Subject(s):

Mock theta functions| Bilateral series| Basic hypergeometric series| Hecke-type identities

Online resources:

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Contents:

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Summary: Abstract: In this paper, we first obtain the corresponding transformation formulas of the basic bilateral hypergeometric series involving universal mock theta functions. Meanwhile, some identities of bilateral series associated with classical mock theta functions are deduced. From the duals of second type for universal mock theta functions, two new Hecke-type identities are derived. Some special cases for classical mock theta functions are also obtained immediately. Finally, an identity for is discussed by a transformation formula.

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Item type	Current library	Call number	Status	Date due	Barcode
Periodicals	RIE BPL Library		Not for loan

***______{For Hard Copy, Please visit Library.}________***

Abstract: In this paper, we first obtain the corresponding transformation formulas of the basic bilateral hypergeometric series involving universal mock theta functions. Meanwhile, some identities of bilateral series associated with classical mock theta functions are deduced. From the duals of second type for universal mock theta functions, two new Hecke-type identities are derived. Some special cases for classical mock theta functions are also obtained immediately. Finally, an identity for is discussed by a transformation formula.

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Some identities of certain basic hypergeometric series and their applications to mock theta functions (Journal Article)

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