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Watson’s addition formula and q series

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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 \(n=4\). As a application, we have derived some q series identities.

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Authors and Affiliations

  1. Department of First Year Engineering, Pune Institute of Computer Technology, Dhankawadi, Pune, Maharashtra, 411 043, India

    Hemant Masal

  2. Department of Mathematics, Savitribai Phule Pune University, Ganeshkhind, Pune, Maharashtra, 411 007, India

    Hemant Masal, Hemant Bhate & Subhash Kendre

Authors
  1. Hemant Masal
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  2. Hemant Bhate
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  3. Subhash Kendre
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Correspondence to Hemant Masal.

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Communicated by Sanoli Gun.

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Masal, H., Bhate, H. & Kendre, S. Watson’s addition formula and q series. Indian J Pure Appl Math (2023). https://doi.org/10.1007/s13226-023-00404-3

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  • DOI: https://doi.org/10.1007/s13226-023-00404-3

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