Results 71 to 80 of about 2,163 (157)
, 2018 In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are
Gochhayat, P. +2 more
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Limiting Values and Functional and Difference Equations
Mathematics, 2020 Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
N.-L. Wang +2 more
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Remark on the Hurwitz-Lerch zeta function [PDF]
Fixed Point Theory and Applications, 2013 By the Poisson summation formula, relating a function with its Fourier coefficients, the author obtaines the analytic continuation and a functional relation for a certain Lerch zeta function. The author also deduces \textit{T. M. Apostol}'s result [Pac. J. Math. 1, 161--167 (1951; Zbl 0043.07103)] about the Lerch zeta function and a functional relation
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On the mean square of Lerch zeta-functions [PDF]
Archiv der Mathematik, 2003 Für \(01) \] definiert und besitzt eine analytische Fortsetzung in ganz \({\mathbb C}\) bis auf höchstens einen einfachen Pol bei \(s=1\). Aus der bekannten Funktionalgleichung dieser Funktion haben die Verff. eine approximative Funktionalgleichung abgeleitet [An approximate functional equation for the Lerch zeta-function, Math.
Garunkštis, R. +2 more
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Applications of the Hurwitz-Lerch Zeta-Function [PDF]
Pure and Applied Mathematics Journal, 2015 In this paper, we shall exhibit the use of two principles, “principle of decomposition into residue classes” and “binomial principle of analytic continuation” due to Ram Murty and Sinha and indicate a certain distribution property and the functional equation for the Lipschitz-Lerch transcendent at integral arguments ofs.
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The density function for the value-distribution of Lerch zeta-functions and its applications
, 2018 The probabilistic study of the value-distribution of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a probability density function related to the value-distribution of Lerch zeta-functions.
Mine, Masahiro
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One estimate related to the periodic zeta-function
Lietuvos Matematikos Rinkinys, 2010 An estimate for the error term of the fourth moment of the periodic zetafunction is obtained.
Sondra Černigova
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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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Differential Subordination Results for Certain Integrodifferential Operator and Its Applications
Abstract and Applied Analysis, 2012 We introduce an integrodifferential operator Js,b(f) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for Js,b(f) are used. Applications in Analytic Number Theory are also obtained which give new
M. A. Kutbi, A. A. Attiya
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A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator
Abstract and Applied Analysis, 2013 By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
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