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

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

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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub&...

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Bibliographic Details
Main Authors: Hong-Cun Zhai, Jian Cao, Sama Arjika
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
theta function
Dedekind’s eta-function
triple product identity
the power of <named-content content-type="inline"><inline-formula> <mml:math id="mm15564"> <mml:semantics> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>q</mml:mi> <mml:mo>
</mml:mo> <mml:mi>q</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>∞</mml:mo> </mml:msub> </mml:semantics> </mml:math> </inline-formula></named-content>
Online Access:https://www.mdpi.com/2227-7390/11/3/588

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https://www.mdpi.com/2227-7390/11/3/588

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