Book:Andrew Gray/A Treatise on Bessel Functions/Second Edition

Subject Matter

 * Bessel Functions

Contents

 * Preface to the First Edition
 * Preface to the Second Edition
 * Note on the Asymptotic Expansions


 * Chapter I: Introductory
 * Chapter II: Solution of the Differential Equation
 * Chapter III: Other Bessel Functions and Related Functions
 * Chapter IV: Functions of Integral Order. Expansions in Series of Bessel Functions
 * Chapter V: Definite Integral Expressions for the Bessel Functions. Asymptotic Expansions
 * Chapter VI: Definite Integrals Involving Bessel Functions
 * Chapter VII: The Zeros of the Bessel Functions
 * Chapter VIII: Fourier-Bessel Expansions and Integrals
 * Chapter IX: Relations between Bessel Functions and Legendre Functions. Green's Function
 * Chapter X: Vibration of Membranes
 * Chapter XI: Hydrodynamics
 * Chapter XII: Steady Flow of Electricity or of Heat in Uniform Isotropic Media
 * Chapter XIII: Propagation of Electromagnetic Waves Along Wires
 * Chapter XIV: Diffraction
 * Chapter XV: Equilibrium of an Isotropic Rod of Circular Section
 * Chapter XVI: Miscellaneous Applications


 * Miscellaneous Examples


 * Appendix I: Formulae for the Gamma Function and the Hypergeometric Function
 * Appendix II: Stokes' Method of obtaining the Asymptotic Expansion of the Bessel Functions
 * Appendix III: Formulae for Calculation of the Zeros of the Bessel Functions


 * Explanation of the Tables



Source work progress
* : Chapter $\text{I}$: Introductory: $\S 1$. Bernoulli's Problem