Results 31 to 40 of about 27,507 (192)
Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
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
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]
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
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]
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]
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]
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]
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
There is not abstract.
Antanas Laurinčikas
doaj +3 more sources
Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
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

