ICM-90 Satellite Conference Proceedings

Special Functions

  • Masaki Kashiwara
  • Tetsuji Miwa

Table of contents

  1. Front Matter
    Pages I-V
  2. Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei
    Pages 1-29
  3. Kazuhiko Aomoto, Yoshifumi Kato
    Pages 30-62
  4. Leon Ehrenpreis
    Pages 78-89
  5. I. M. Gelfand, M. M. Kapranov, A. V. Zelevinsky
    Pages 104-121
  6. V. Lakshmibai
    Pages 127-148
  7. V. Lakshmibai, N. Reshetikhin
    Pages 149-168
  8. Masatoshi Noumi
    Pages 260-288
  9. Back Matter
    Pages 316-318

About these proceedings

Introduction

The 1990 Hayashibara Forum, "the International Conference on Special Functions", was held at Fujisaki Institute, Hayashibara Biochemical Laboratories, Inc., Okayama, Japan for five days (August 16-20, 1990). This volume is the proceedings for that meeting. On January 14,1985, Heisuke Hironaka and Ken Hayashibara, the president of Chair­ man, Board of Trustees, Hayashibara Foundation, met and decided to have an international conference on mathematics in the summer of 1990. This was pushed forward by Kiyosi Ito, who proposed "Special functions" as the theme of the conference. He also asked the present editors to join in the organizing committee of the Hayashibara Forum, 1990. On May 13, 1989 the organizing committee sent letters to major Japanese mathemat­ ical institutions asking their members to give suggestions about whom it should invite. Receiving the replies, the organizing committee decided the invited speakers, and sent invitation letters to them, in which it was written that "Special functions have been created and explored to describe scientific and mathematical phenomena. Trigonometric functions give the relation of angle to length. Riemann's zeta function was invented in order to describe the prime number distribution. Legendre's spherical functions and Bessel's functions were born in connection with the eigenvalue problems for partial differential equations.

Keywords

Eigenvalue Hypergeometric function differential equation distribution logarithm orthogonal polynomials partial differential equation special function

Editors and affiliations

  • Masaki Kashiwara
    • 1
  • Tetsuji Miwa
    • 1
  1. 1.RIMSKyoto UniversitySakyoku, Kyoto 606Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-4-431-68170-0
  • Copyright Information Springer-Verlag Tokyo 1991
  • Publisher Name Springer, Tokyo
  • eBook Packages Springer Book Archive
  • Print ISBN 978-4-431-70085-2
  • Online ISBN 978-4-431-68170-0
  • About this book