Book:F.E. Relton/Applied Bessel Functions

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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.


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