Results 31 to 40 of about 26,951 (214)

A note on the zeros of the Lerch zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2001
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

open access: yesLietuvos Matematikos Rinkinys, 1998
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]

open access: yes, 2012
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]

open access: yes, 2006
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

A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz-Lerch Zeta Function

open access: yesSymmetry, 2021
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]

open access: yesProceedings of the American Mathematical Society, 1985
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

open access: yesLietuvos Matematikos Rinkinys, 2000
There is not abstract.
Jolita Ignatavičiūtė
doaj   +3 more sources

ON THE ZERO DISTRIBUTIONS OF LERCH ZETA-FUNCTIONS [PDF]

open access: yesAnalysis, 2002
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

open access: yesLietuvos Matematikos Rinkinys, 1999
There is not abstract.
Ramūnas Garunkštis
doaj   +3 more sources

On extended Hurwitz–Lerch zeta function

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie   +2 more
openaire   +2 more sources

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