Results 51 to 60 of about 1,008 (140)

SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS [PDF]

open access: yes, 2020
We give some explicit relationships between the Apostol-Euler polynomials and generalized Hurwitz-Lerch Zeta function and obtain some series representations of the Apostol-Euler polynomials of higher order in terms of the generalized Hurwitz-Lerch Zeta ...
Qiu-Ming Luo
core  

Inclusion Properties of New Classes of Analytic Functions

open access: yesChinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014
The purpose of the present paper is to introduce certain new subclasses of analytic functions defined by Srivastava‐Attiya operator and study their inclusion relationships and to obtain some interesting consequences of the inclusion relations.
Mohan Das   +4 more
wiley   +1 more source

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi   +3 more
wiley   +1 more source

Differential Subordination Results for Certain Integrodifferential Operator and Its Applications

open access: yesAbstract 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
doaj   +1 more source

Limiting Values and Functional and Difference Equations

open access: yesMathematics, 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
doaj   +1 more source

A QUADRUPLE INTEGRAL INVOLVING THE EXPONENTIAL LOGARITHM OF QUOTIENT RADICALS IN TERMS OF THE HURWITZ-LERCH ZETA FUNCTION

open access: yesUral Mathematical Journal, 2022
With a possible connection to integrals used in General Relativity, we used our contour integral method  to write a closed form solution for a quadruple integral involving exponential functions and  logarithm of quotient radicals.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Some New Symmetric Identities for the q-Zeta Type Functions

open access: yes, 2013
The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan   +3 more
core   +1 more source

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

open access: yesMathematics, 2020
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby   +2 more
doaj   +1 more source

q-Analogues of the Barnes multiple zeta functions

open access: yes, 2004
In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q\uparrow 1$ for all complex ...
Yamasaki, Yoshinori
core   +2 more sources

A new extension of Hurwitz-Lerch Zeta function

open access: yes, 2018
The main objective of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function in terms of extended beta function. We then investigate its important properties such as integral representations, differential formulas, Mellin transform and certain generating relations.
Rahman, Gauhar   +2 more
openaire   +2 more sources

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