On applications of hypergeometric functions

✍ Scribed by Roger W Barnard

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 83 KB
• Volume: 105
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00010-2

✦ Synopsis

This is a survey article on the author's involvement over the years with hypergeometric functions. We discuss our counter-example to one of M. Robertson's conjectures, our results on the omitted values problems, Brannan's conjecture on the coe cients of a certain power series, generalizations of Ramanujan's asymptotic formulas for complete elliptic integrals and Muir's 1883 approximation to the arc length of an ellipse involving an inequality for some 3F2's.