Certain infinite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions

2017 ◽  
Vol 51 (1) ◽  
pp. 33-42
Author(s):  
F.Y Ayant
Keyword(s):  
Zeta Function ◽  
General Class ◽  
Multiple Zeta Function ◽  
General Class Of Polynomials ◽  
Multiple Zeta ◽  
Infinite Integral

On multiple Hurwitz zeta function of Mordell–Tornheim type

2021 ◽  
pp. 1-34
Author(s):  
Kazuhiro Onodera
Keyword(s):  
Zeta Function ◽  
Hurwitz Zeta Function ◽  
Multiple Zeta Function ◽  
Multiple Zeta ◽  
Second Derivatives ◽  
Positive Integers

We introduce a certain multiple Hurwitz zeta function as a generalization of the Mordell–Tornheim multiple zeta function, and study its analytic properties. In particular, we evaluate the values of the function and its first and second derivatives at non-positive integers.

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