Results 31 to 40 of about 6,598 (188)

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

Joint universality of some zeta-functions. I

Lietuvos Matematikos Rinkinys, 2010
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė, Darius Šiaučiūnas   +1 more
doaj   +1 more source

Remarks on the mixed joint universality for a class of zeta-functions

, 2016
Two remarks related with the mixed joint universality for a polynomial Euler product and a periodic Hurwitz zeta-function with a transcendental parameter are given.
Hilbert, Javtokas, Kačinskaitė, KOHJI MATSUMOTO, Laurinčikas, Laurinčikas, Laurinčikas, Matsumoto, ROMA KAČINSKAITĖ, Steuding, Voronin   +10 more
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Analytic Continuation of the Hurwitz Transform

Mathematics
An integral over the unit interval of the product of a given function and the Hurwitz zeta function is known as the Hurwitz transform of the function. We give sufficient conditions on the function for the Hurwitz transform to continue meromorphically to ...
Namhoon Kim
doaj   +1 more source

Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications

Mathematical Modelling and Analysis, 2011
We study the sequence of nontrivial zeros of the Riemann zeta-function with respect to sequences of zeros of other related functions, namely, the Hurwitz zeta-function and the derivative of Riemann's zeta-function.
Ramūnas Garunkštis, Joern Steuding
doaj   +1 more source

Integral representations of q-analogues of the Hurwitz zeta function

, 2005
Two integral representations of q-analogues of the Hurwitz zeta function are established. Each integral representation allows us to obtain an analytic continuation including also a full description of poles and special values at non-positive integers of ...
DM Bradley, ET Whittaker, GE Andrews, H Tsumura, H Tsumura, J Satoh, M Kaneko, Masato Wakayama, N Koblitz, N Kurokawa, P Appell, Y Hashimoto, Yoshinori Yamasaki   +12 more
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Double Euler Sums on Hurwitz Zeta Functions

Rocky Mountain Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
openaire   +2 more sources

Analytic continuation of the Hurwitz Zeta Function with physical application

, 2002
A new formula relating the analytic continuation of the Hurwitz zeta function to the Euler gamma function and a polylogarithmic function is presented. In particular, the values of the first derivative of the real part of the analytic continuation of the ...
Beneventano C. G., Cho Y. M., Ray D., Schubert C., Sergio Zerbini, Toms D. J., Toms D. J., Vittorio Barone Adesi   +7 more
core   +3 more sources

An extension of q-zeta function

International Journal of Mathematics and Mathematical Sciences, 2004
We will define the extension of q-Hurwitz zeta function due to Kim and Rim (2000) and study its properties. Finally, we lead to a useful new integral representation for the q-zeta function.
T. Kim, L. C. Jang, S. H. Rim
doaj   +1 more source

A mixed joint universality theorem for zeta‐functions

Mathematical Modelling and Analysis, 2010
In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys, Renata Macaitienė, Santa Račkauskienė, Darius Šiaučiūnas   +3 more
doaj   +1 more source