Results 81 to 90 of about 2,186 (164)

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
doaj   +1 more source

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
core  

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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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.
openaire   +1 more source

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
doaj   +1 more source

Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah, Waleed Khadher Mohammed   +1 more
doaj  

Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
doaj   +1 more source

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

Moroccan Journal of Pure and Applied Analysis, 2015
In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*.
Srivastava H. M., Gaboury S., Ghanim F.
doaj   +1 more source

A procedure for generating infinite series identities

International Journal of Mathematics and Mathematical Sciences, 2004
A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj   +1 more source