Analytic Properties of the Apostol-Vu Multiple Lucas L-functions

Authors

  • Utkal Keshari Dutta
  • Prasanta Kumar Ray

Keywords:

Analytic continuation, Lucas sequence, Apostol-Vu multiple Lucas L-functions.

Abstract

In the article we study the analytic continuations of the Apostol-Vu multiple shifted Lucas zeta functions and Apostol-Vu multiple Lucas L-functions associated to Dirichlet characters. We also compute a complete list of exact singularities and residues of these functions at poles.

Key words and phrases. Analytic continuation, Lucas sequence, Apostol-Vu multiple Lucas L-functions.

2010 Mathematics Subject Classification. 11B37, 11B39, 30D30, 11M99

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Published

2025-05-18

How to Cite

Utkal Keshari Dutta, & Prasanta Kumar Ray. (2025). Analytic Properties of the Apostol-Vu Multiple Lucas L-functions. Jordan Journal of Mathematics and Statistics, 15(4A), 895–909. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/704

Issue

Vol. 15 No. 4A (2022)

Section

Articles