Results 21 to 30 of about 61 (59)

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
core  

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

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

Two-iterated degenerate Appell polynomials: properties and applications

Arab Journal of Basic and Applied Sciences
In the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
doaj   +1 more source

Extensions of two referenced forms of the Hilbert integral inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
This article demonstrates the broader flexibility of the techniques developed in previous studies, showing that they can be adapted to cover a wider range of Hilbert-type integral inequalities.
Chesneau Christophe
doaj   +1 more source

Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains

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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