Functional equations for double zeta-functions

2004 ◽  
Vol 136 (1) ◽  
pp. 1-7 ◽  
Author(s):  
KOHJI MATSUMOTO
Keyword(s):  
Functional Equations ◽  
Zeta Functions ◽  
Double Zeta

FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS

2011 ◽  
Vol 07 (06) ◽  
pp. 1441-1461 ◽  
Author(s):  
YASUSHI KOMORI ◽  
KOHJI MATSUMOTO ◽  
HIROFUMI TSUMURA
Keyword(s):  
Functional Equations ◽  
Zeta Functions ◽  
Symmetric Form ◽  
Periodic Coefficients ◽  
Double Zeta ◽  
Positive Integers

We consider double L-functions with periodic coefficients and complex parameters. We prove functional equations for them, which is of traditional symmetric form on certain hyperplanes. These are character analogs of our previous result on double zeta-functions. We further evaluate double L-functions at non-positive integers and construct certain p-adic double L-functions.

Bi-starlike function of complex order associated with double Zeta functions

2014 ◽  
Vol 26 (5-6) ◽  
pp. 1025-1036
Author(s):  
G. Murugusundaramoorthy ◽  
T. Janani
Keyword(s):  
Zeta Functions ◽  
Starlike Function ◽  
Complex Order ◽  
Double Zeta
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