Results 1 to 10 of about 5,223,805 (173)
On a Certain Extension of the Hurwitz-Lerch Zeta Function
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
doaj +2 more sources
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
doaj +2 more sources
Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
doaj +1 more source
ON THE ZERO DISTRIBUTIONS OF LERCH ZETA-FUNCTIONS [PDF]
Analysis, 2002 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
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Antanas Laurinčikas
doaj +3 more sources
One functional property of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Antanas Laurinčikas
doaj +3 more sources
On zeros of the Lerch zeta-function. III
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Ramūnas Garunkštis
doaj +3 more sources
Exponential sums of Lerch’s zeta functions [PDF]
Proceedings of the American Mathematical Society, 1985 For x x not an an integer and
openaire +2 more sources
Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
Abstract and Applied Analysis, 2013 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
Multiple Lerch Zeta Functions and an Idea of Ramanujan [PDF]
Michigan Mathematical Journal, 2018 In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalising an elegant identity of Ramanujan. Further, we describe the set of all possible singularities of these functions. Finally, for the multiple Hurwitz zeta functions, we list the exact set of singularities.
Gun, Sanoli, Saha, Biswajyoti
openaire +3 more sources