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
β Scribed by George Gasper, Mizan Rahman
- Publisher
- Cambridge University Press
- Year
- 1990
- Tongue
- English
- Leaves
- 322
- Series
- Encyclopedia of mathematics and its applications 35
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 mathematical functions and combinatorial questions.
π SIMILAR VOLUMES
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
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
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