Results 61 to 70 of about 5,223,805 (173)

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim, Samuel Nicolay   +3 more
wiley   +1 more source

Arithmetic progressions and holomorphic phase retrieval

Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3316-3330, November 2024.
Abstract We study the determination of a holomorphic function from its absolute value. Given a parameter θ∈R$\theta \in \mathbb {R}$, we derive the following characterization of uniqueness in terms of rigidity of a set Λ⊆R$\Lambda \subseteq \mathbb {R}$: if F$\mathcal {F}$ is a vector space of entire functions containing all exponentials eξz,ξ∈C∖{0}$e^{
Lukas Liehr
wiley   +1 more source

The density function for the value-distribution of the Lerch zeta-function and its applications [PDF]

, 2021
The probabilistic study of the value-distributions of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a certain probability measure related to the value-distribution of the Lerch zeta-function.
Mine, Masahiro
core   +1 more source

Limiting Values and Functional and Difference Equations

Mathematics, 2020
Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
N.-L. Wang, Praveen Agarwal, S. Kanemitsu   +2 more
doaj   +1 more source

Lead‐time‐continuous statistical postprocessing of ensemble weather forecasts

Quarterly Journal of the Royal Meteorological Society, Volume 150, Issue 761, Page 2147-2167, April 2024 Part B.
Statistical postprocessing methods for recalibrating forecasts are usually fitted individually for each lead time at which a forecast is available. This, however, is computationally expensive and restricts the usability of models. Here we study the lead‐time dependence of Ensemble Model Output Statistics—a postprocessing method—and develop lead‐time ...
Jakob Benjamin Wessel, Christopher A. T. Ferro, Frank Kwasniok   +2 more
wiley   +1 more source

Riemann-Siegel integral formula for the Lerch zeta function

, 2011
Here we present a Riemann-Siegel integral formula for the Lerch zeta function. Proceeding as in Turing’s method for computing the Riemann zeta function, our integral formula allows for the numerical computation of the Lerch zeta function by numerical ...
Jorge Sánchez-Ortiz, Eugenio Balanzario
core   +1 more source

On the mean square of Lerch zeta-functions [PDF]

Archiv der Mathematik, 2003
Für \(01) \] definiert und besitzt eine analytische Fortsetzung in ganz \({\mathbb C}\) bis auf höchstens einen einfachen Pol bei \(s=1\). Aus der bekannten Funktionalgleichung dieser Funktion haben die Verff. eine approximative Funktionalgleichung abgeleitet [An approximate functional equation for the Lerch zeta-function, Math.
Garunkštis, R., Laurinčikas, A., Steuding, J.   +2 more
openaire   +1 more source

Value distribution theorems for the Lerch zeta-function. [PDF]

, 2019
The Lerch zeta-function defined, for sigma greater than 1, by the Dirichlet series and by analytic continuation elsewhere, is investigated. The main attention is devoted to the universality of the Lerch zeta-function i.e., to approximation of analytic ...
Mincevič, Asta,
core  

On the taylor expansion of the Lerch zeta-function

Journal of Mathematical Analysis and Applications, 1992
The Lerch zeta function is the analytic continuation in the complex \(s\) plane of the series \[ L(x,a,s)=\sum_{n\geq 0}\exp\{2\pi inx\}(n+a)^{- s}, \] where \(x\) and \(a\) are real parameters. Properties of this function are deduced from its Taylor expansion in the parameter \(a\).
openaire   +2 more sources

On Generalized Hurwitz-Lerch Zeta Distributions [PDF]

, 2009
In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum, Garg, Mridula, Kalla, S. L.   +2 more
core   +1 more source