Results 111 to 120 of about 849 (200)

Higher Derivatives of the Hurwitz Zeta Function

, 2011
The Riemann zeta function ζ(s) is one of the most fundamental functions in number theory. Euler demonstrated that ζ(s) is closely connected to the prime numbers and Riemann gave proofs of the basic analytic properties of the zeta function.
Musser, Jason
core  

Mean Value Properties of the Hurwitz Zeta-Function.

MATHEMATICA SCANDINAVICA, 1992
Let \(\zeta^* (s,x) = \zeta (s,x + 1)\), where \(\zeta (s,a)\) \((0 < a \leq 1)\) is the Hurwitz zeta-function. The author proves that \[ \int^ 1_ 0 \left | \zeta^* \Bigl( {1 \over 2} + it, x \Bigr) \right |^ 2 dx = \log \left( {t \over 2 \pi} \right) + \gamma - 2 \text{Re} {\zeta (1/2 + it) \over 1/2 + it} + O \left( {1 \over t} \right), \] where ...
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Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah, Waleed Khadher Mohammed   +1 more
doaj  

Testing the Bethe ansatz with large N renormalons. [PDF]

Eur Phys J Spec Top, 2021
Mariño M, Miravitllas R, Reis T.
europepmc   +1 more source

Heavy Tails and the Shape of Modified Numerals. [PDF]

Cogn Sci, 2022
Carcassi F, Szymanik J.
europepmc   +1 more source

Results about fractional derivatives of Zeta functions [PDF]

, 2017
Perhaps the most important function in all mathematics is the Riemann Zeta function. For almost 150 years Mathematicians have tried to understand the behavior of the function’s complex zeros.
Farr, Ricky E., NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

Extracellular vesicles carry distinct proteo-transcriptomic signatures that are different from their cancer cell of origin. [PDF]

iScience, 2022
Chen TY, Gonzalez-Kozlova E, Soleymani T, La Salvia S, Kyprianou N, Sahoo S, Tewari AK, Cordon-Cardo C, Stolovitzky G, Dogra N.   +9 more
europepmc   +1 more source

Value distribution of Lerch and periodic Hurwitz Zeta-functions.

, 2018
In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function.
Tamošiūnas, Rokas,
core  

Remark on the Hurwitz zeta function [PDF]

Proceedings of the American Mathematical Society, 1951
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