ProofWiki:Books/F.E. Relton/Applied Bessel Functions

F.E. Relton: Applied Bessel Functions

Published 1946, Blackie & Son Limited.

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