Some probability density functions and their characteristic functions

Author:
Frank McNolty

Journal:
Math. Comp. **27** (1973), 495-504

MSC:
Primary 65C99; Secondary 60E05

DOI:
https://doi.org/10.1090/S0025-5718-1973-0329193-3

MathSciNet review:
0329193

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Abstract: This paper presents, without derivation, several generalized density functions together with their characteristic functions. The densities are expressed variously in terms of special functions such as: , the modified Bessel function of the first kind of order *v*; , the modified Bessel function of the second kind of order *v*; , the confluent hypergeometric function; , the hypergeometric function; , Whittaker's function; , a generalized hypergeometric function (type I);

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DOI:
https://doi.org/10.1090/S0025-5718-1973-0329193-3

Article copyright:
© Copyright 1973
American Mathematical Society