Results 1 to 10 of about 849 (200)

A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function [PDF]

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   +5 more sources

Hurwitz Zeta Function Is Prime

Mathematics, 2023
We proved that the Hurwitz zeta function is prime. In addition, we derived the Nevanlinna characteristic for this function.
Marius Dundulis, Ramūnas Garunkštis, Erikas Karikovas, Raivydas Šimėnas   +3 more
doaj   +4 more sources

New Result of Analytic Functions Related to Hurwitz Zeta Function [PDF]

The Scientific World Journal, 2013
By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
F. Ghanim, M. Darus
doaj   +3 more sources

A Series Representation for the Hurwitz–Lerch Zeta Function [PDF]

Axioms, 2021
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
doaj   +3 more sources

Extended Wang sum and associated products. [PDF]

PLoS ONE, 2022
The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
doaj   +2 more sources

Zeros of Hurwitz zeta functions [PDF]

Mathematics of Computation, 1976
All complex zeros of each Hurwitz zeta function are shown to lie in a vertical strip. Trivial real zeros analogous to those for the Riemann zeta function are found. Zeros of two particular Hurwitz zeta functions are calculated.
Robert Spira
openaire   +3 more sources

Vanishing of the integral of the Hurwitz zeta Function [PDF]

Bulletin of the Australian Mathematical Society, 2002
A proof is given that the improper Riemann integral of ζ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with ℜ(s) < 1. The integral does not exist (as a finite real number) when ℜ(s) ≥ 1.
Kevin A. Broughan, Broughan, Kevin A.
openaire   +4 more sources

A note on a generalized double series. [PDF]

PLoS ONE
By employing contour integration the derivation of a generalized double finite series involving the Hurwitz-Lerch zeta function is used to derive closed form formulae in terms of special functions.
Robert Reynolds
doaj   +2 more sources

Size Scaling of the Electrochemical Performance of Ti₃C₂T_x MXene Microelectrode Arrays for Electrophysiological Recording and Stimulation. [PDF]

Small
This study evaluates Ti3C2Tx MXene‐based microelectrodes across a range of diameters (25–500 µm) and elucidates their recording and stimulation capabilities for bioelectronic applications. Several electrochemical measurements—supported further by equivalent‐circuit modeling—revealed enhanced recording and stimulation capabilities of the MXene ...
Averbeck SR, Garg R, Dong R, Hurwitz D, Apollo NV, Beauchamp MS, Vitale F.   +6 more
europepmc   +2 more sources

On the periodic Hurwitz zeta-function. [PDF]

Hardy-Ramanujan Journal, 2006
In this paper, an universality theorem in the Voronin sense for the periodic Hurwitz zeta-function is proved.
Javtokas, A., Laurinčikas, A.
core   +6 more sources