Results 41 to 50 of about 9,521 (292)

On Some Relations between the Hermite Polynomials and Some Well-Known Classical Polynomials and the Hypergeometric Function.

مجلة العلوم البحتة والتطبيقية, 2020
The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
doaj   +1 more source

On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains

Entropy, 2023
This paper is about Dirichlet averages in the matrix-variate case or averages of functions over the Dirichlet measure in the complex domain. The classical power mean contains the harmonic mean, arithmetic mean and geometric mean (Hardy, Littlewood and ...
Princy Thankamani, Nicy Sebastian, Hans J. Haubold   +2 more
doaj   +1 more source

Solving recurrences for Legendre–Bernstein basis transformations

Examples and Counterexamples, 2023
The change of basis matrix M from shifted Legendre to Bernstein polynomials and M−1 have applications in computer graphics. Algorithms use their properties to find the matrix elements efficiently.
D.A. Wolfram
doaj   +1 more source

Hurwitz continued fractions with confluent hypergeometric functions [PDF]

, 2007
summary:Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions ${}_0F_1(;c;z)$. In the application we study some new
Komatsu, Takao
core   +1 more source

ON THE EXTENDED APPELL-LAURICELLA HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

, 2017
The main object of this paper is to present a systematic introduction to the theory and applications of the extended Appell-Lauricella hypergeometric functions defined by means of the extended beta function and extended Dirichlet?s beta integral.
P. Agarwal, R. Agarwal, M. Luo
semanticscholar   +2 more sources

k-Fractional Estimates of Hermite–Hadamard Type Inequalities Involving k-Appell’s Hypergeometric Functions and Applications

Fractal and Fractional, 2019
The main objective of this paper is to obtain certain new k-fractional estimates of Hermite−Hadamard type inequalities via s-convex functions of Breckner type essentially involving k-Appell’s hypergeometric functions.
Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor   +3 more
doaj   +1 more source

A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines

Shodh Sari
Elementary functions, Bessel functions, Legendre functions and many other special functions are included in the large family of mathematical functions known as generalized hypergeometric functions.
Mr. Mukesh Kumar Mahala, Dr. Rahul Sharma   +1 more
doaj   +1 more source

Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function

Fractal and Fractional, 2021
This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim, Hiba F. Al-Janaby, Omar Bazighifan   +2 more
doaj   +1 more source

Applications of Confluent Hypergeometric Function in Strong Superordination Theory

Axioms, 2022
In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into consideration certain classes of analytic functions depending on an extra parameter previously ...
Georgia Irina Oros, Gheorghe Oros, Ancuta Maria Rus   +2 more
openaire   +2 more sources

Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

Journal of High Energy Physics, 2020
We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions.
René Pascal Klausen
doaj   +1 more source