Classical Partition Identities and Basic Hypergeometric Series

Basic Hypergeometric Series and Applicat

📁 Basic Hypergeometric Series and Applications

✍ Nathan J. Fine 📂 Library 📅 1988 🏛 American Mathematical Society 🌐 English

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. Today, research in $q$-hypergeom

Basic hypergeometric series and applicat

📁 Basic hypergeometric series and applications

✍ Nathan J. Fine 📂 Library 📅 1988 🏛 American Mathematical Society 🌐 English

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. Today, research in $q$-hypergeom

Basic hypergeometric series

📁 Basic hypergeometric series

✍ George Gasper, Mizan Rahman 📂 Library 📅 2004 🏛 Cambridge University Press 🌐 English

This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-se

Basic hypergeometric series

📁 Basic hypergeometric series

✍ George Gasper, Mizan Rahman 📂 Library 📅 1990 🏛 Cambridge University Press 🌐 English

Thorough and up-to-date, this book is an authoritative account of basic hypergeometric series and their applications. The authors provide explicit and detailed information about summation, transformation and expansion formulas and contour integrals. They relate the general results to other important

Basic Hypergeometric Series (Encyclopedi

📁 Basic Hypergeometric Series (Encyclopedia of Mathematics and its Applications)

✍ George Gasper, Mizan Rahman 📂 Library 📅 2004 🏛 Cambridge University Press 🌐 English

A solid reference on the subject. Material on generalized hypergeometric functions (starting with Gauss' hypergeometric function) is presented followed by the q analogy's. The material is advanced and is well written with a tight and readable typeface. The introduction to q series will satisfy t

Basic Almost-Poised Hypergeometric Serie

📁 Basic Almost-Poised Hypergeometric Series: September 1998

✍ Wenchang Chu 📂 Library 📅 1998 🏛 Amer Mathematical Society 🌐 English