REPRESENTATIONS INVOLVING CONTINUED FRACTIONS FOR THE RECIPROCALS OF SOME HYPERGEOMETRIC FUNCTIONS,

Abstract

A new class of representations of some of the more common higher transcendental functions is developed. These representations involve continued fractions in a compact way, and consequently may find use in highspeed digital computer routines designed to compute these functions numerically. Several examples are given for Bessel functions and the general confluent hypergeometric function. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 19, 1965
Accession Number
AD0622975

Entities

People

  • Joseph H. Eberly

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Complex Variables
  • Computers
  • Digital Computers
  • Functions (Mathematics)
  • Hypergeometric Functions
  • Mathematics
  • Transcendental Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design