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Mathematical Communications, Vol. 16 No. 1, 2011.

Original scientific paper

Jacobi's triple product identity and theta function identities

Wenchang Chu orcid id orcid.org/0000-0002-8425-212X ; Institute of Combinatorial Mathematics, Hangzhou Normal University, Hangzhou, P.R.China
Qinglun Yan ; College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing, P.R. China

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page 191-203

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Abstract

As a unified approach, Jacobi's triple product identity
will be utilized to derive theta function formulae due to
Baruah-Berndt (2007), identities of Rogers--Ramanujan
functions and modular equations due to Ramanujan.

Keywords

Jacobi's triple product identity; theta functions; modular equations

Hrčak ID:

68635

URI

https://hrcak.srce.hr/68635

Publication date:

10.6.2011.

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