Article
Version 1
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On Parameterized Theta Function Identities
Version 1
: Received: 14 June 2023 / Approved: 19 June 2023 / Online: 19 June 2023 (07:08:04 CEST)
How to cite: Jun, H.L. On Parameterized Theta Function Identities. Preprints 2023, 2023061308. https://doi.org/10.20944/preprints202306.1308.v1 Jun, H.L. On Parameterized Theta Function Identities. Preprints 2023, 2023061308. https://doi.org/10.20944/preprints202306.1308.v1
Abstract
In history, theta function identities have been studied extensively and
deeply. In this paper, applying the residue theorem of an elliptic function, we obtain a
parameterized theta function identity. Then, by selecting the appropriate parameter,
we derive some famous Jacobi identities, as well as other relatively simple theta
function identities.
Keywords
Elliptic functions; Theta function identities; Jacobi theta function identities
Subject
Computer Science and Mathematics, Discrete Mathematics and Combinatorics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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