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

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## F.E. Relton:

## Contents

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

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

### Subject Matter

### Contents

- Preface

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

- Bibliographical Note

- Index

*The paragraphs are numbered consecutively throughout each chapter; the equations are numbered consecutively throughout each paragraph. Thus the reference $7\cdot 3 (4)$ means chapter $7$, paragraph $3$, equation $(4)$ therein.*

## Source work progress

- 1946: F.E. Relton:
*Applied Bessel Functions*... (next): Chapter $\text {I}$: The Error Function; Beta and Gamma Functions: $1 \cdot 1$. The study of functions