Analytic characteristic of k-generalized Pell zeta function

Authors

  • Dibyajyoti Biswal Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Utkal Keshari Dutta Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar-751024, Odisha, India.
  • Saumya Ranjan Jena Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar-751024, Odisha, India.
  • Bijan Kumar Patel Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar-751024, Odisha, India.

Abstract

In this paper, we introduce k-generalized Pell zeta function and  study its analytic continuation. Further, we compute a possible list of singularities and residues of the function at these simple poles. Moreover, we discuss the values of $k$-generalized Pell zeta function at negative integer arguments.

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Published

2025-05-30

Issue

Vol. 32 No. 2 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Dibyajyoti Biswal, Utkal Keshari Dutta, Saumya Ranjan Jena, Bijan Kumar Patel

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Analytic characteristic of k-generalized Pell zeta function. (2025). Nonlinear Studies, 32(2), 617-626. https://nonlinearstudies.com/index.php/nonlinear/article/view/3924