Approximation of a Completely Monotone Function.
Abstract
A function f on (0, infinity) is completely monotone if it possesses derivatives of all orders, and the successive derivatives alternate in sign. It is shown that for each x the value of f(x) lies between any two consecutive partial sums of the expansion of f(x) in Taylor series. The given result can be applied to various functions such as the hypergeometric and confluent hypergeometric functions, which are widely used in applied mathematics. Some statistical applications are also given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1977
- Accession Number
- ADA048249
Entities
People
- Khursheed Alam
- Walter Walker
Organizations
- Clemson University