Accession Number : AD0745018

Title :   Some Absolutely Monotonic and Completely Monotonic Functions.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Askey,Richard ; Pollard,Harry

Report Date : JUN 1972

Pagination or Media Count : 14

Abstract : The functions (1-r)sup(-2 lambda)(1-2xr + r squared)sup(-lambda)) are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for -1 < or = x < or = 1. One consequence is a simple proof of Kogbetliantz's theorem on positive Cesaro summability for ultraspherical series. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), THEOREMS), POLYNOMIALS, POWER SERIES, OPERATORS(MATHEMATICS)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE