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ICM-90 Satellite Conference Proceedings

Special Functions

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Masaki Kashiwara

    1. RIMS, Kyoto University, Sakyoku, Kyoto 606, Japan

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  2. Tetsuji Miwa

    1. RIMS, Kyoto University, Sakyoku, Kyoto 606, Japan

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Table of contents (16 papers)

  1. Front Matter

    Pages I-V
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  2. The Bender-Wu Analysis and the Voros Theory

    • Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei
    Pages 1-29

  3. A q-analogue of de Rham cohomology

    • Kazuhiko Aomoto, Yoshifumi Kato
    Pages 30-62

  4. Affine Extensions of Knizhnik-Zamolodchikov Equations and Lusztig’s Isomorphisms

    • Ivan Cherednik
    Pages 63-77

  5. Hypergeometric Functions

    • Leon Ehrenpreis
    Pages 78-89

  6. Differential operators on the moduli space of G-bundles on algebraic curve and Lie algebra cohomologies

    • B. L. Feigin
    Pages 90-103

  7. Hypergeometric Functions, Toric Varieties and Newton Polyhedra

    • I. M. Gelfand, M. M. Kapranov, A. V. Zelevinsky
    Pages 104-121

  8. On Some Properties of Robinson-Schensted Correspondence

    • Anatoli Kirillov
    Pages 122-126

  9. Standard Monomial Theory for Ŝp2n

    • V. Lakshmibai
    Pages 127-148

  10. Quantum Deformations of SLn/B and its Schubert Varieties

    • V. Lakshmibai, N. Reshetikhin
    Pages 149-168

  11. Supernumary Polylogarithmic Ladders and Related Functional Equations

    • L. Lewin
    Pages 169-221

  12. Resurgent Equations and Stokes Multipliers for the Generalized Confluent Hypergeometric Differential Equations of the Second Order

    • Hideyuki Majima
    Pages 222-233

  13. An Infinitesimally Quasi Invariant Measure on the Group of Diffeomorphisms of the Circle

    • Marie Paule Malliavin, Paul Malliavin
    Pages 234-244

  14. The Chiral Potts Model: from Physics to Mathematics and back

    • Barry M. McCoy
    Pages 245-259

  15. Quantum Groups and q-Orthogonal Polynomials

    • Masatoshi Noumi
    Pages 260-288

  16. R-matrices with gauge parameters and multi-parameter quantized enveloping algebras

    • Masato Okado, Hiroyuki Yamane
    Pages 289-293

  17. Analytic Expression of Voros Coefficients and Its Application to WKB Connection Problem

    • Kanehisa Takasaki
    Pages 294-315

  18. Back Matter

    Pages 316-318
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Keywords

About this book

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.

Editors and Affiliations

  • RIMS, Kyoto University, Sakyoku, Kyoto 606, Japan

    Masaki Kashiwara, Tetsuji Miwa

Bibliographic Information

  • Book Title: ICM-90 Satellite Conference Proceedings

  • Book Subtitle: Special Functions

  • Editors: Masaki Kashiwara, Tetsuji Miwa

  • DOI: https://doi.org/10.1007/978-4-431-68170-0

  • Publisher: Springer Tokyo

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Tokyo 1991

  • Softcover ISBN: 978-4-431-70085-2Published: 01 November 1991

  • eBook ISBN: 978-4-431-68170-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: V, 318

  • Topics: Analysis

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