Publisher's Synopsis
This book presents a new approach to the theory of hypergeometric functions, unifying classical and modern schools of thought, and hence relevant to both industry and academia. It covers theory and applications of univalent functions, generalized hypergeometric functions and fractional calculus.;The celebrated Bieberbach conjecture of 1916 was one of the most outstanding problems in the theory of univalent functions. A complete proof of it only emerged in 1984, when Louis de Branges proved the Milan conjecture of 1971, which implies the Robertson conjecture of 1936, and indeed also the 68 year old Bieberbach conjecture.;This event provided new impetus to the study of univalent functions and also of generalized hypergeometric functions. It also stimulated interest from pure and applied mathematicians and from physical and engineering scientists, in the theory of derivatives and integrals of an arbitrary, real or complex order.;The book collates selected material presented at the mathematicians Symposium in 1988 and includes articles by several other eminent researchers.
