Results 31 to 40 of about 21,110 (236)

Study on new integral operators defined using confluent hypergeometric function

Advances in Difference Equations, 2021
Two new integral operators are defined in this paper using the classical Bernardi and Libera integral operators and the confluent (or Kummer) hypergeometric function.
Georgia Irina Oros
doaj   +2 more sources

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
Georgia Irina Oros, Alina Alb Lupaş
core   +2 more sources

Numerical methods for the computation of the confluent and Gauss hypergeometric functions [PDF]

Numerical Algorithms, 2016
The two most commonly used hypergeometric functions are the confluent hypergeometric function and the Gauss hypergeometric function. We review the available techniques for accurate, fast, and reliable computation of these two hypergeometric functions in ...
John W Pearson, Sheehan Olver, Mason A Porter   +2 more
exaly   +2 more sources

A new expansion of the confluent hypergeometric function in terms of modified Bessel functions

Journal of Computational and Applied Mathematics, 1997
An asymptotic expansion of the confluent hypergeometric function U(a,b,x) for large positive 2a − b is given in terms of modified Bessel functions multiplied by Buchholz polynomials, a family of double polynomials in the variables b and x with rational ...
J Sesma
exaly   +2 more sources

Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts [PDF]

Journal of Mathematical Analysis and Applications, 2018
In 1914, Hardy proved that infinitely many non-trivial zeros of the Riemann zeta function lie on the critical line using the transformation formula of the Jacobi theta function.
Kumar, Rahul, Maji, Bibekananda, Dixit, Atul, Atul Dixit, Alexandru Zaharescu, Rahul Kumar, Zaharescu, Alexandru, Bibekananda Maji   +7 more
core   +2 more sources

Bi-concave functions connected with the combination of the binomial series and the confluent hypergeometric function

Symmetry
In this article, we first define and then propose to systematically study some new subclasses of the class of analytic and bi-concave functions in the open unit disk. For this purpose, we make use of a combination of the binomial series and the confluent
Grigore Stefan Sălăgean, Srivastava, Hari M., Luminita-Ioana Cotîrlă, El-Deeb, Sheza M., Cotîrl?, Luminita-Ioana, Hari M. Srivastava, S?l?gean, Grigore Stefan, Breaz, Daniel, Sheza M. El-Deeb, Daniel Breaz   +9 more
core   +3 more sources

On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function

International Journal of Mathematics for Industry, 2023
Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
doaj   +1 more source

Generalized Gamma, Beta and Hypergeometric Functions Defined by Wright Function and Applications to Fractional Differential Equations

Cumhuriyet Science Journal, 2022
When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

Some Inequalities for Certain p-Valent Functions Connected with the Combination Binomial Series and Confluent Hypergeometric Function

Axioms, 2022
The present paper deals with a new differential operator denoted by Fp,tδ,n,b,c,m,β, whose certain properties are deduced by using well-known earlier studies regarding differential inequalities and the Caratheodory function.
S. El-Deeb, Adriana Cătaș
semanticscholar   +1 more source

Fractional Integral of a Confluent Hypergeometric Function Applied to Defining a New Class of Analytic Functions

Symmetry, 2022
The study on fractional integrals of confluent hypergeometric functions provides interesting subordination and superordination results and inspired the idea of using this operator to introduce a new class of analytic functions.
A. Lupaș, G. Oros
semanticscholar   +1 more source