Results 1 to 10 of about 21,110 (236)

Confluent Hypergeometric Function

2021
Topics of this chapter are the confluent hypergeometric function of first and second kind, the hypergeometric function 2F0(a1, a2;;z), the confluent hypergeometric limit function 0F1(;b;z), and the Whittaker functions. The evaluation of the functions will be based either on a series expansion or on a path integration technique in dependence of the ...
W. Schweizer
openaire   +2 more sources

Univalence of confluent hypergeometric functions

1998
Summary: Conditions of univalence and convexity for a confluent hypergeometric function \(\Phi\) with complex coefficients are obtained. Condition of starlikeness of \(z\Phi(z)\) is given.
Kanas, Stanisława, Stankiewicz, Jan
openaire   +1 more source

Confluent hypergeometric functions

2010
The details of the hypergeometric function were developed in Chapter 5. We used the notion\(F(\alpha,\beta ;\gamma ;z)\) to denote this function. A more complete notation on the hypergeometric function is\({}_2F_1 (\alpha,\beta ;\gamma ;z)\), which, in this chapter, is used in parallel with the shorter one.
openaire   +2 more sources

The Confluent Hypergeometric Functions

2009
10.1 Introduction Whereas Gauss was largely responsible for the systematic study of the hypergeometric function, E. E. Kummer (1810–1893) is the person most associated with developing properties of the related confluent hypergeometric function. Kummer published his work on this function in 1836, and since that time it has been commonly referred to
openaire   +1 more source

The Confluent Hypergeometric Functions

1998
Abstract Whereas Gauss was largely responsible for the systematic study of the hypergeometric function, E. E. Kummer (1810-1893) is the person most associated with developing properties of the related confluent hypergeometric function.
openaire   +1 more source

An Integral Related to the Confluent Hypergeometric Function

Journal of the Institute of Actuaries, 1960
In the course of preparing a paper dealing with statistics relating to fire insurance (Beard, 1957) the need arose to find numerical values of the confluent hypergeometric function for parameter values well outside any tabulated range, and this note is concerned with various approximations investigated in the course of these experiments.
openaire   +2 more sources

The Confluent Hypergeometric Function

1991
Many of the special functions of mathematical physics can be expressed in terms of specific forms of the confluent hypergeometric function. As its name suggests, this function is related to the hypergeometric function of Chapter 2. Let us see how.
openaire   +1 more source

Inequalities for the Confluent Hypergeometric Function

Journal of Mathematics and Physics, 1963
Schweizer, B., Sklar, A.
openaire   +2 more sources

Confluent Hypergeometric Functions.

The American Mathematical Monthly, 1961
C. A. Swanson, L. J. Slater
openaire   +2 more sources

Confluent Hypergeometric Functions

2022
openaire   +1 more source