Convergence Proof of Economic Representation of Transcendental Functions.
Abstract
It was shown that a large class of transcendental functions could be represented by a rational function, the ratio of two polynomials, together with a remainder term. Only in certain cases could it be shown that the rational representation coverages. One of the principal difficulties lies in the fact that asymptotic expansions of a certain class of hypergeometric polynomials were known only for a few special cases, the classical Jacobi polynomials, for example. Asymptotic expansions of this class of hypergeometric polynomials now exist, and the convergence question can be further explored.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 15, 1960
- Accession Number
- ADA072226
Entities
People
- Jerry L. Fields
- Yudell L. Luke
Organizations
- MRIGlobal