Results 21 to 30 of about 27,507 (192)

A note on the zeros of the Lerch zeta-function

Lietuvos Matematikos Rinkinys, 2001
In the paper we obtain the effective zero free regions for the Lerch zeta-function.
Ramūnas Garunkštis
doaj   +3 more sources

Inequalities for Lerch transcendent function

Tamkang Journal of Mathematics, 2023
Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta function and Legendre chi function are also given.
Cerone, Pietro, Dragomir, Silvestru Sever   +1 more
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A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source

On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves [PDF]

, 2008
In this paper, we give an explicit description of the de Rham and p-adic polylogarithms for elliptic curves using the Kronecker theta function. We prove in particular that when the elliptic curve has complex multiplication and good reduction at p, then ...
Bannai, Kenichi, Kobayashi, Shinichi, Tsuji, Takeshi   +2 more
core   +2 more sources

On zeros of the derivative of the Lerch zeta-function

Lietuvos Matematikos Rinkinys, 2002
We consider zeros of the derivative of the Lerch zeta-function. We obtain some lower bound for the number of zeros lying on the right from the critical line.
Ramūnas Garunkštis
doaj   +3 more sources

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
doaj   +1 more source

Evaluating probabilistic forecasts with scoringRules [PDF]

, 2018
Probabilistic forecasts in the form of probability distributions over future events have become popular in several fields including meteorology, hydrology, economics, and demography.
Jordan, Alexander, Krüger, Fabian, Lerch, Sebastian   +2 more
core   +3 more sources

Exponential sums of Lerch’s zeta functions [PDF]

Proceedings 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 ∞
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Mellin Transform of Logarithm and Quotient Function with Reducible Quartic Polynomial in Terms of the Lerch Function

Axioms, 2021
A class of definite integrals involving a quotient function with a reducible polynomial, logarithm and nested logarithm functions are derived with a possible connection to contact problems for a wedge.
Robert Reynolds, Allan Stauffer
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Finite Hurwitz-Lerch functions

Filomat, 2019
Summary: We define the finite Hurwitz-Lerch function \(\displaystyle H_n^{(s)}(x,y)= \sum_{k=0}^{n-1} \frac{x^k}{(k+y)^s}\). Then we explore some properties of them and give some applications, including Coppo's formula, the sum of powers of consecutive integers, Mellin differential operator, and some others.
Batir, Necdet, Chen, Kwang-Wu
openaire   +1 more source