# Book:F.E. Relton/Applied Bessel Functions

## F.E. Relton: *Applied Bessel Functions*

Published $1946$, **Blackie & Son Limited**.

### Subject Matter

### 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