Results 41 to 50 of about 7,133 (231)
Integral representations of q-analogues of the Hurwitz zeta function
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 +12 more
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Double Euler Sums on Hurwitz Zeta Functions
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Eie, Minking, Liaw, Wen-Chin
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Joint universality of some zeta-functions. I
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 +1 more
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On Some Families of Integrals Connected to the Hurwitz Zeta Function
Expressions for a family of integrals involving the Hurwitz zeta function are established using standard properties of the Fourier ...
Patkowski, Alexander E
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Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications
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
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Double series expression for the Stieltjes constants
We present expressions in terms of a double infinite series for the Stieltjes constants $\gamma_k(a)$. These constants appear in the regular part of the Laurent expansion for the Hurwitz zeta function.
Coffey, Mark W.
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On Hurwitz zeta function and Lommel functions [PDF]
We obtain a new proof of Hurwitz’s formula for the Hurwitz zeta function [Formula: see text] beginning with Hermite’s formula. The aim is to reveal a nice connection between [Formula: see text] and a special case of the Lommel function [Formula: see text].
Dixit, Atul, Kumar, Rahul
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Homogeneous Observer‐Based Affine Formation Tracking
ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López +3 more
wiley +1 more source
An extension of q-zeta function
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
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A mixed joint universality theorem for zeta‐functions
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 +3 more
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