Results 61 to 70 of about 2,188 (164)
Some formulas related to Hurwitz–Lerch zeta functions [PDF]
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On the mean square of the Lerch zeta-function
There is not abstract.
Antanas Laurinčikas
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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 +3 more
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Arithmetic progressions and holomorphic phase retrieval
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
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Further generalization of the extended Hurwitz-Lerch Zeta functions
Recently various extensions of Hurwitz-Lerch Zeta functions have been investigated. Here, we first introduce a further generalization of the extended Hurwitz-Lerch Zeta functions. Then we investigate certain interesting and (potentially) useful properties, systematically, of the generalization of the extended Hurwitz-Lerch Zeta functions, for example ...
Rakesh K. Parmar +2 more
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Lead‐time‐continuous statistical postprocessing of ensemble weather forecasts
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 +2 more
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Limiting Values and Functional and Difference Equations
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 +2 more
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Desingularization of complex multiple zeta-functions, fundamentals of $p$-adic multiple $L$-functions, and evaluation of their special values [PDF]
This paper deals with a multiple version of zeta- and L-functions both in the complex case and in the p-adic case: [I] Our motivation in the complex case is to find suitable rigorous meaning of the values of multivariable multiple zeta-functions (MZFs ...
Furusho, Hidekazu +3 more
core
Remark on the Hurwitz-Lerch zeta function [PDF]
By the Poisson summation formula, relating a function with its Fourier coefficients, the author obtaines the analytic continuation and a functional relation for a certain Lerch zeta function. The author also deduces \textit{T. M. Apostol}'s result [Pac. J. Math. 1, 161--167 (1951; Zbl 0043.07103)] about the Lerch zeta function and a functional relation
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On the mean square of Lerch zeta-functions [PDF]
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. +2 more
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