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

Utkal Keshari Dutta (1) and Prasanta Kumar Ray (2)

(1) Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, India

Email address: utkal.duttafma@kiit.ac.in

 

(2) Department of Mathematics, Sambalpur University, Jyoti Vihar, Burla-768019, India

Email address: prasantamath@suniv.ac.in

Doi : https://doi.org/10.47013/15.4.7

Cited by : Jordan J. Math & Stat., 15 (4A) (2022), 895 - 909

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Received on: June 3, 2021;                                           Accepted on: March 7, 2022

 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.

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