Results 21 to 30 of about 62 (60)

Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions [PDF]

, 2007
Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating ...
Zivorad Tomovski, Tomovski, Živorad
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Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains [PDF]

In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
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The Legendre Formula in Clifford Analysis [PDF]

, 2009
2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.Let R0,2m+1 be the Clifford algebra of the antieuclidean 2m+1 dimensional space.
Ramadanoff, Ivan, Laville, Guy
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On Hankel Transform of Generalized Mathieu Series [PDF]

, 2009
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu ...
Tomovski, Živorad
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Renewal Processes of Mittag-Leffler and Wright Type [PDF]

, 2005
2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the ...
Gorenflo, Rudolf, R. Gorenflo, Vivoli, Alessandro, Mainardi, Francesco   +3 more
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New and Original Integral Inequalities under Monotonicity and Convexity Assumptions

Annales Mathematicae Silesianae
This article examines integral inequalities dealing with functions of the form “a function raised to the power of another function” under varying monotonicity and convexity assumptions. First, we assess the validity of a referenced theorem on the subject.
Chesneau Christophe
doaj   +1 more source

On a family of q-modified-Laguerre-Appell polynomials

Arab Journal of Basic and Applied Sciences
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
doaj   +1 more source

Study of some new integral inequalities involving four adaptable functions

Annals of the West University of Timisoara: Mathematics and Computer Science
In this article, we establish new and flexible integral inequalities that have the property of involving four adaptable functions. Some of them generalize existing results in the literature.
Chesneau Christophe
doaj   +1 more source

A derivative-based extension of Gegenbauer polynomials in two variables

Nuclear Physics B
In this paper, a new class of two-variable Gegenbauer-type polynomials is introduced via a derivative-based construction. The definition incorporates an additional variable through finite sums involving higher-order derivatives of classical Gegenbauer ...
Özge Ada, Esra Erkuş-Duman
doaj   +1 more source

Study of a multi-parameter three-dimensional Hardy-Hilbert type integral inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
This article is devoted to the study of a new three-dimensional Hardy-Hilbert integral inequality. It is innovative mainly for its generality, characterized by the presence of many adjustable parameters and complex power-sum interactions of the variables.
Chesneau Christophe
doaj   +1 more source