Results 31 to 40 of about 40,939 (252)

Fractional Calculus and Confluent Hypergeometric Function Applied in the Study of Subclasses of Analytic Functions

Mathematics, 2022
The study done for obtaining the original results of this paper involves the fractional integral of the confluent hypergeometric function and presents its new applications for introducing a certain subclass of analytic functions. Conditions for functions
Alina Alb Lupaş, Georgia Irina Oros
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

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

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

Multiple zeta values and the WKB method [PDF]

, 2013
The multiple zeta values ζ(d1, . . . , dr ) are natural generalizations of the values ζ(d) of the Riemann zeta functions at integers d. They have many applications, e.g. in knot theory and in quantum physics.
Zakrzewski, Michał, Żołądek, Henryk
core   +1 more source

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
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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

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

Fractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan, Shailesh Jaloree, Junesang Choi   +2 more
doaj   +1 more source

Fractional parts of Linear polynomials and an application to hypergeometric functions [PDF]

Journal of the Australian Mathematical Society, 2001
AbstractUsing a result on arithmetic progressions, we describe a method for finding the rational h–tuples ρ = (ρl,…,ρh) such that all the multiples mρ (for m coprime to a denominator of ρ) lie in a linear variety modulo Z. We give an application to hypergeometric functions.
DVORNICICH, ROBERTO, ZANNIER U.
openaire   +3 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