Hypergeometric Function Identities and Their Applications (Springer Monographs in Mathematics 2012)

Hypergeometric Function Identities and Their Applications (Springer Monographs in Mathematics 2012)

By: David Chudnovsky (author), Gregory V. Chudnovsky (author)Hardback

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Contents

* Preface * Introduction by R. Askey * Hypergeometric and generalized hypergeometric functions in one and many variables * Classical hypergeometric function identities - functional theoretic and combinatorial interpretation. q-basic series * Evaluation of hypergeometric functions at special values - \Gamma - factors and period relations * Reducible cases of hypergeometric equations * Applications of the Lagrange inversion formula * Pade approximations to hypergeometric functions as hypergeometric polynomials * Special hypergeometric functions - polylogarithms and other functions * Diophantine approximations and measures of irrationality * Hypergeometric function evaluation and calculation - physics and applied mathematics * Appendix by W. Gosper. Hypergeometric identities * References

Product Details

  • publication date: 30/09/2005
  • ISBN13: 9780387986487
  • Format: Hardback
  • Number Of Pages: 250
  • ID: 9780387986487
  • ISBN10: 0387986480
  • edition: 2012

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