Title of article :
Analytic properties of Euler-Zagier multiple Lucas-balancing zeta functions
Author/Authors :
Dutta, Utkal Keshari Dept of Mathematics - Sambalpur University, Jyoti Vihar, Burla, India , Kumar Ray, Prasanta Dept of Mathematics - Sambalpur University, Jyoti Vihar, Burla, India
Abstract :
In the article we study the analytic continuation of Euler-Zagier multiple Lucas-balancing
zeta function which is a multi-variable generalization of Lucas-balancing zeta function. We compute a
complete list of poles and their residues. We also examine the Euler-Zagier multiple Lucas-balancing
zeta values at negative integers
Keywords :
Analytic continuation , Lucas-balancing sequence , Lucas-balancing zeta function , Euler- Zagier multiple Lucas-balancing zeta function
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
