Results 51 to 60 of about 32,458 (230)
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 +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 +3 more
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A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions
Mathematics, 2022 The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė +1 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 +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 +3 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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Self-approximation of Hurwitz Zeta-functions [PDF]
Functiones et Approximatio Commentarii Mathematici, 2014 We are looking for real numbers and d for which there exist 'many' real numbers such that the shifts of the Hurwitz-zeta function (s + i; ) and (s +id; ) are 'near' each other.
Garunkštis, Ramūnas, Karikovas, Erikas
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The Mean Square of the Hurwitz Zeta-Function in Short Intervals
AxiomsThe Hurwitz zeta-function ζ(s,α), s=σ+it, with parameter ...
A. Laurinčikas, D. Šiaučiūnas
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Definite integral of the logarithm hyperbolic secant function in terms of the Hurwitz zeta function
, 2021 We evaluate definite integrals of the form given by $\int_{0}^{\infty}R(a,x)\log (\cos (\alpha ) \text{sech}(x)+1)dx$. The function $R(a,x)$ is a rational function with general complex number parameters. Definite integrals of this form yield closed forms
Robert Reynolds, Allan Stauffer
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On the zeros of generalized Hurwitz zeta functions
Journal of Number Theory, 2014 To appear in Journal of Number ...
T. Chatterjee, S. Gun
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