Accession Number : AD0628888


Title :   RATIONAL APPROXIMATIONS TO GENERALIZED HYPERGEOMETRIC FUNCTIONS.


Descriptive Note : Scientific interim rept. for 1 May 64-9 Apr 65,


Corporate Author : MIDWEST RESEARCH INST KANSAS CITY MO


Personal Author(s) : FIELDS,Jerry L


Report Date : Nov 1965


Pagination or Media Count : 42


Abstract : Under weak restrictions on the various free parameters, general theorems for rational representations of the generalized hypergeometric functions, and certain Meijer G-functions are developed. Upon specialization, these theorems yield a sequency of rational approximations which converge to the desired limit. Two numerical examples are included, the Bessel functions J sub o(z) and K sub o(z), of the first and third kind, respectively. (Author)


Descriptors :   *APPROXIMATION(MATHEMATICS) , *SPECIAL FUNCTIONS(MATHEMATICS) , SPECIAL FUNCTIONS(MATHEMATICS) , THEOREMS , FUNCTIONAL ANALYSIS , BESSEL FUNCTIONS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE