Hypergeometric Functions My Love
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Author | : Masaaki Yoshida |
Publisher | : Springer Science & Business Media |
Total Pages | : 301 |
Release | : 2013-06-29 |
Genre | : Technology & Engineering |
ISBN | : 3322901661 |
The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions and the theta functions - now evolves, in this book, to the story of hypergeometric funktions in 4 variables, the configuration space of 6 points in the projective plane, K3 surfaces, theta functions in 4 variables. This modern theory has been established by the author and his collaborators in the 1990's; further development to different aspects is expected. It leads the reader to a fascinating 4-dimensional world. The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.
Author | : A. M. Mathai |
Publisher | : Springer |
Total Pages | : 322 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540378006 |
Author | : Donald St. P. Richards |
Publisher | : American Mathematical Soc. |
Total Pages | : 272 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821851594 |
This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics - are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.
Author | : Shobh Nath Singh |
Publisher | : |
Total Pages | : 192 |
Release | : 1993 |
Genre | : Hypergeometric functions |
ISBN | : |
Author | : Nathan Jacob Fine |
Publisher | : American Mathematical Soc. |
Total Pages | : 142 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0821815245 |
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. This book provides a simple approach to basic hypergeometric series.
Author | : Yudell L. Luke |
Publisher | : |
Total Pages | : 54 |
Release | : 1970 |
Genre | : Hypergeometric functions |
ISBN | : |
Author | : Chester Snow |
Publisher | : |
Total Pages | : 338 |
Release | : 1942 |
Genre | : Hypergeometric functions |
ISBN | : |
Author | : SALAH. UDDIN |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 0 |
Release | : 2012-05-08 |
Genre | : |
ISBN | : 9783659121340 |
In our work we have derived some summation formulae with the help of contiguous relation . However, the formulae presented herein may be further developed to extend the work .Thus we can only hope that the development presented in this work will stimulate further interest and research in this important area of classical special functions. Just as the mathematical properties of the Gauss hypergeometric function are already of immense and significant utility in mathematical sciences and numerous other areas of pure and applied mathematics, the elucidation and discovery of the formula of hypergeometric functions considered herein should certainly eventually prove useful to further developments in the broad areas alluded to above.
Author | : Lucy Joan Slater |
Publisher | : |
Total Pages | : 0 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Harold Exton |
Publisher | : Ellis Horwood |
Total Pages | : 320 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |