Table of contents : Cover Title page Foreword Preface Contents (detailed) Chapter 1: The Expansion of Functions in Infinite Series and Infinite Products Chapter 2: Linear Ordinary Differential Equations of the Second Order Chapter 3: The Gamma Function Chapter 4: Hypergeometric Function Chapter 5: Legendre Functions Chapter 6: Confluent Hypergeometric Functions Chapter 7: Bessel Functions Chapter 8: Weierstrass Elliptic Functions Chapter 9: Theta Functions Chapter 10: Jacobian Elliptic Functions Chapter 11: Lamé Functions Chapter 12: Mathieu Functions Appendices Bibliography Glossary Index Back