confluent hypergeometric function

(redirected from Confluent hypergeometric functions)

confluent hypergeometric function

[kən′flü·ənt ¦hī·pər‚jē·ə¦me‚trik ′fəŋk·shən]
(mathematics)
A solution to differential equation z (d 2 w/dz 2) + (ρ-z)(dw/dz)-α w = 0.
References in periodicals archive ?
Six of these potentials are solved in terms of the confluent hypergeometric functions [1-6].
An alternative to this problem is to expand these solutions in terms of confluent hypergeometric functions [27].
Parmar, "A new generalization of gamma, beta, hypergeometric and confluent hypergeometric functions," Le Matematiche, vol.
Slater, Confluent Hypergeometric Functions, Cambridge University Press, 1960.
Mocanu, "Univalence of Gaussian and confluent hypergeometric functions," Proceedings of the American Mathematical Society, vol.
Vuorinen, "Univalence and convexity properties for confluent hypergeometric functions," Complex Variables, Theory and Application, vol.
Mocanu, Univalence of Gaussian and confluent hypergeometric functions, Proc.
Shimura, Confluent hypergeometric functions on tube domains, Math.
The purpose of this paper is to analyze some features of this modification, namely the convergence properties of the modified asymptotic series and some techniques that can be used to compute the confluent hypergeometric functions involved in the approximation.
with U and M confluent hypergeometric functions, as described in Chapter 13 of Abramowitz and Stegun [1964].
The results are presented in terms of hypergeometric functions and confluent hypergeometric functions. It is of interest to note that the confluent hypergeometric function, M, yields the prior moment generating function of p from density (1).