hypergeometric1F1 {BAS}

Confluent hypergeometric1F1 function

Description

Compute the Confluent Hypergeometric function: 1F1(a,b,c,t) = Gamma(b)/(Gamma(b-a)Gamma(a)) Int_0^1 t^(a-1) (1 - t)^(b-a-1) exp(c t) dt

Usage

hypergeometric1F1(a, b, c, laplace = FALSE, log = TRUE)

Arguments

a

arbitrary

b

Must be greater 0

c

arbitrary

laplace

The default is to use the Cephes library; for large a or s this may return an NA, Inf or negative values,, in which case you should use the Laplace approximation.

log

if TRUE, return log(1F1)

Author(s)

Merlise Clyde ([e-mail])

References

Cephes library hyp1f1.c

See Also

Other special functions: hypergeometric2F1(), phi1(), trCCH()

Examples

hypergeometric1F1(11.14756, 0.5, 0.00175097)