On Some Expansion Formulas for Products of Jacobi’s Theta Functions

Hong-Cun Zhai, Jian Cao () and Sama Arjika
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Hong-Cun Zhai: School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China
Jian Cao: School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
Sama Arjika: Department of Mathematics and Informatics, University of Agadez, Agadez 900288, Niger

Mathematics, 2023, vol. 11, issue 3, 1-8

Abstract: In this paper, we establish several expansion formulas for products of the Jacobi theta functions. As applications, we derive some expressions of the powers of ( q ; q ) ∞ by using these expansion formulas.

Keywords: theta function; Dedekind’s eta-function; triple product identity; the power of ( q; q ) ? (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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