Results 31 to 40 of about 27,507 (192)

Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function

open access: yesAbstract and Applied Analysis, 2013
By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
doaj   +1 more source

A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation

open access: yesJournal of Mathematics, 2022
A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

The Relationship Between the Sersic Law Profiles Measured Along the Major and Minor Axes of Elliptical Galaxies [PDF]

open access: yes, 2003
In this paper we discuss the reason why the parameters of the Sersic model best-fitting the major axis light profile of elliptical galaxies can differ significantly from those derived for the minor axis profile. We show that this discrepancy is a natural
Caon, Nicola   +4 more
core   +1 more source

The Lerch zeta-function with algebraic irrational parameter

open access: yesLietuvos Matematikos Rinkinys, 2009
In this note, we present probabilisticlimit theorems on the complex plane as well as in functional spaces for the Lerch zeta-function with algebraic irrational parameter.
Danutė Genienė
doaj   +1 more source

Log-normal distribution based EMOS models for probabilistic wind speed forecasting [PDF]

open access: yes, 2014
Ensembles of forecasts are obtained from multiple runs of numerical weather forecasting models with different initial conditions and typically employed to account for forecast uncertainties.
Baran, Sándor, Lerch, Sebastian
core   +2 more sources

q-hypergeometric double sums as mock theta functions [PDF]

open access: yes, 2012
Recently, Bringmann and Kane established two new Bailey pairs and used them to relate certain q-hypergeometric series to real quadratic fields. We show how these pairs give rise to new mock theta functions in the form of q-hypergeometric double sums ...
Andrews   +5 more
core   +3 more sources

Two New Proofs of Lerch's Functional Equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
One bright Sunday morning I went to church, And there I met a man named Lerch. We both did sing in jubilation, For he did show me a new equation. Two simple derivations of the functional equation of \[ ∑ n = 0 ∞ exp ⁡ [ 2
openaire   +2 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

A joint limit theorem for Lerch zeta-function

open access: yesLietuvos Matematikos Rinkinys, 1998
There is not abstract.
Antanas Laurinčikas
doaj   +3 more sources

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

open access: yesMathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali   +3 more
doaj   +1 more source

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