Results 31 to 40 of about 7,133 (231)

Joint discrete approximation of a pair of analytic functions by periodic zeta-functions

Mathematical Modelling and Analysis, 2020
In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas, Virginija Garbaliauskienė, Julija Karaliūnaitė, Renata Macaitienė, Jurgita Petuškinaitė, Audronė Rimkevičienė   +5 more
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Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications

Abstract and Applied Analysis, 2008
The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden, Ismail Naci Cangul, Yilmaz Simsek   +2 more
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Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials

Advances in Difference Equations, 2020
The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles, William Ramírez, María José Ortega, Daniel Bedoya   +3 more
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A weighted version of the Mishou theorem

Mathematical Modelling and Analysis, 2021
In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R.
Antanas Laurinčikas, Darius Šiaučiūnas, Gediminas Vadeikis   +2 more
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Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

Mathematics, 2021
Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim, Khalifa Al-Shaqsi, Maslina Darus, Hiba Fawzi Al-Janaby   +3 more
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An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

, 2007
This paper sketches a technique for improving the rate of convergence of a general oscillatory sequence, and then applies this series acceleration algorithm to the polylogarithm and the Hurwitz zeta function.
A. Jonquière, C. Brezinski, E.A. Karatsuba, E.J. Weniger, E.P. Balanzario, G. Soff, H. Cohen, H. Hasse, Linas Vepštas, R. Šleževičiene, T.M. Apostol   +10 more
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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.
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Is Catalan’s Constant Rational?

Mathematics, 2022
This paper employs a contour integral method to derive and evaluate the infinite sum of the Euler polynomial expressed in terms of the Hurwitz Zeta function. We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the
Robert Reynolds, Allan Stauffer
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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
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