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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
PDF
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.
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