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

Bounds of double zeta-functions and their applications

2020 ◽  
Vol 304 (1) ◽  
pp. 15-41
Author(s):  
Debika Banerjee ◽  
T. Makoto Minamide ◽  
Yoshio Tanigawa
Keyword(s):  
Zeta Functions ◽  
Double Zeta

scholarly journals Real zeros of Hurwitz–Lerch zeta and Hurwitz–Lerch type of Euler–Zagier double zeta functions

2015 ◽  
Vol 160 (1) ◽  
pp. 39-50 ◽  
Author(s):  
TAKASHI NAKAMURA
Keyword(s):  
Zeta Function ◽  
Zeta Functions ◽  
Hurwitz Zeta Function ◽  
Real Zeros ◽  
Double Zeta ◽  
Lerch Zeta Function

AbstractLet 0 < a ⩽ 1, s, z ∈ ${\mathbb{C}}$ and 0 < |z| ⩽ 1. Then the Hurwitz–Lerch zeta function is defined by Φ(s, a, z) ≔ ∑∞n = 0zn(n + a)− s when σ ≔ ℜ(s) > 1. In this paper, we show that the Hurwitz zeta function ζ(σ, a) ≔ Φ(σ, a, 1) does not vanish for all 0 < σ < 1 if and only if a ⩾ 1/2. Moreover, we prove that Φ(σ, a, z) ≠ 0 for all 0 < σ < 1 and 0 < a ⩽ 1 when z ≠ 1. Real zeros of Hurwitz–Lerch type of Euler–Zagier double zeta functions are studied as well.

On operator defined by double Zeta functions

2011 ◽  
Vol 42 (2) ◽  
Author(s):  
Rabha Ibrahim ◽  
Maslina Darus
Keyword(s):  
Zeta Functions ◽  
Double Zeta

Radial subshell splittings and double-zeta functions in many-electron atoms

2004 ◽  
Vol 121 (16) ◽  
pp. 7708 ◽  
Author(s):  
Toshikatsu Koga ◽  
Hisashi Matsuyama
Keyword(s):  
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.

Sign in / Sign up

Export Citation Format

Share Document