Results 31 to 40 of about 26,951 (214)
A note on the zeros of the Lerch zeta-function
In the paper we obtain the effective zero free regions for the Lerch zeta-function.
Ramūnas Garunkštis
doaj +3 more sources
A joint limit theorem for Lerch zeta-function
There is not abstract.
Antanas Laurinčikas
doaj +3 more sources
Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions [PDF]
The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension.
Ram K. Saxena, Tibor Pogany
core +1 more source
The Quantum Mellin transform [PDF]
We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum ...
Bateman H +15 more
core +3 more sources
The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
semanticscholar +1 more source
Exponential sums of Lerch’s zeta functions [PDF]
For x x not an an integer and Re ( s ) > 0 \operatorname {Re} (s) > 0 , let \[ F ( x , s ) = ∑ k = 1 ∞
openaire +2 more sources
A limit theorem for the Lerch zeta-function
There is not abstract.
Jolita Ignatavičiūtė
doaj +3 more sources
ON THE ZERO DISTRIBUTIONS OF LERCH ZETA-FUNCTIONS [PDF]
The authors study the distribution of zeros of the Lerch zeta-function \[ L(\lambda,\alpha, s):= \sum^\infty_{n=0} e^{2\pi i\lambda n}(n+\alpha)^{-s}, \] defined by R. Lipschitz in 1857 and further studied by M. Lerch thirty years later, and of its derivative \({\partial\over\partial s} L(\lambda,\alpha, s)\). Let me cite one of the authors' result: If
Garunkštis, Ramūnas, Steuding, Jörn
openaire +2 more sources
On zeros of the Lerch zeta-function. III
There is not abstract.
Ramūnas Garunkštis
doaj +3 more sources
On extended Hurwitz–Lerch zeta function
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie +2 more
openaire +2 more sources

