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On Lie algebras and some special functions of mathematical physics

About this Title

Willard Miller, Jr.

Publication: Memoirs of the American Mathematical Society
Publication Year: 1964; Number 50
ISBNs: 978-0-8218-1250-1 (print); 978-0-8218-9995-3 (online)
DOI: https://doi.org/10.1090/memo/0050
MathSciNet review: 0173031

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Table of Contents

Chapters

  • Introduction
  • 1. A relation between Lie algebras and special functions
  • 2. The representation theory of $O_3$
  • 3. Type $A$ and $B$ factorizations
  • 4. The representation theory of $H_4$
  • 5. Type $C’$ and $D’$ factorizations
  • 6. The representation theory of $T_3$
  • 7. Type $C''$ factorizations
  • 8. Generating functions for type $A$–$D$ eigenfunctions
  • 9. The representation theory of $T_6$
  • 10. Type $E$ and $F$ factorizations
  • Appendix