Results 41 to 50 of about 5,484,622 (180)
Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
Journal of Mathematics, 2021 We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
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Note on the Hurwitz-Lerch Zeta Function of Two Variables [PDF]
, 2020 Choi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094A number of generalized Hurwitz-Lerch zeta functions have been presented and investigated.
Yağcı, Oğuz +7 more
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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
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مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
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The Lerch zeta-function with algebraic irrational parameter
Lietuvos 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
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The size of the Lerch zeta-function at places symmetric with respect to the line $\Re (s)=1/2$ [PDF]
, 2011 summary:Let $\zeta (s)$ be the Riemann zeta-function. If $t\geq 6.8$ and $\sigma >1/2$, then it is known that the inequality $|\zeta (1-s)|>|\zeta (s)|$ is valid except at the zeros of $\zeta (s)$. Here we investigate the Lerch zeta-function $L(\lambda ,\
Garunkštis, Ramūnas +2 more
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A transformation formula related to Dirichlet L-functions with principal character
Lietuvos Matematikos Rinkinys, 2012 We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
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A joint universality theorem for the riemann zeta-function and lerch zeta-function. [PDF]
, 2017 A joint universality theorem for the Riemann zeta-function and Lerch zeta ...
Franckevič, Violeta,
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MicrobiologyOpen, Volume 15, Issue 2, April 2026.The study prepared Cinnamaldehyde‐Carvacrol nanoemulsions (CA/CV NEs) through high‐energy emulsification. In a mouse infection model, CA/CV NEs exhibited a synergistic inhibitory effect on the formation of Staphylococcus aureus–Escherichia coli mixed biofilms, reducing PIA, LuxS/AI‐2, adhesion, athletic ability, and extracellular protein.
Siqi He +4 more
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A Review of Certain Modern Special Functions and Their Applications
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed +2 more
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