Analytic properties of Generalized Mordell-Tornheim multiple Lucas zeta functions

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.

Abstract

In this note we introduce generalized Mordell-Tornheim multiple Lucas zeta functions and investigate its  analytic continuation. We also estimate the residues corresponding to their respective poles of generalized Mordell-Tornheim multiple Lucas zeta functions.

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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

Creative Commons License

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

How to Cite

Analytic properties of Generalized Mordell-Tornheim multiple Lucas zeta functions. (2025). Nonlinear Studies, 32(2), 643-658. https://nonlinearstudies.com/index.php/nonlinear/article/view/3926