Some probability density functions and their characteristic functions

Frank McNolty
1973 Mathematics of Computation  
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: I,(x), the modified Bessel function of the first kind of order v\ K"(x), the modified Bessel function of the second kind of order v\ ,F,(a; b; x), the confluent hypergeometric function; iF,(a, b;c; x), the hypergeometric function; tV",b(x), Whittaker's function; 3(/3; 7; bx, ex), a generalized
more » ... ), a generalized hypergeometric function (type I); (4) vit) = a2"1/it2 + a2Y+1 Case 3. Raj [26] , McNolty [20].
doi:10.1090/s0025-5718-1973-0329193-3 fatcat:i35c6if745e4haw35efcnzvvfm