Watson’s addition formula and q series

Hemant Masal (), Hemant Bhate () and Subhash Kendre ()
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Hemant Masal: Pune Institute of Computer Technology
Hemant Bhate: Savitribai Phule Pune University
Subhash Kendre: Savitribai Phule Pune University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 709-715

Abstract: Abstract An Extension of Watson’s addition formula for Theta functions and Landen transformation is obtained. This is based on properties on the non-degenerate eigenvalues of the discrete Fourier transform for $$n=4$$ n = 4 . As a application, we have derived some q series identities.

Keywords: Discrete Fourier transform; Eigenvectors; Theta function identities; Landen type transformations; Modular forms.; 11F03; 11F27; 15A18; 33F05 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00404-3

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