Book:F.E. Relton/Applied Bessel Functions

Subject Matter

 * Bessel Functions

Contents

 * Preface


 * I. The Error Function; Beta and Gamma Functions
 * II. Differential Equations; the Normal Form; Recurrence Formulæ; Orthogonal Functions
 * III. Cylinder Functions; their Recurrence Formulæ and Zeroes
 * IV. Bessel's Equation and the Series Solution; Lommel Integrals
 * V. Applications to Oscillations; Stability and Transition Curves
 * VI. The Second Solution for Integral Orders; further Applications to Oscillations and Heat Conduction
 * VII. The Modified Functions; Applications to Dynamics and Statics
 * VIII. Applications to Hydrodynamics and Elasticity
 * IX. Bessel Coefficients. Integrals and Expansions
 * X. Allied Functions; Solution by Integrals; Asymptotic Series


 * Bibliographical Note


 * Index