Book:F.E. Relton/Applied Bessel Functions

Subject Matter

 * Bessel Functions

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
* : Chapter $\text {I}$: The Error Function; Beta and Gamma Functions: $1 \cdot 1$. The study of functions