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The Error Function; Beta and Gamma Functions
Differential Equations; the Normal Form; Recurrence Formulæ; Orthogonal Functions
Cylinder Functions; their Recurrence Formulæ and Zeroes
Bessel's Equation and the Series Solution; Lommel Integrals
Applications to Oscillations; Stability and Transition Curves
The Second Solution for Integral Orders; further Applications to Oscillations and Heat Conduction
The Modified Functions; Applications to Dynamics and Statics
Applications to Hydrodynamics and Elasticity
Bessel Coefficients. Integrals and Expansions
Allied Functions; Solution by Integrals; Asymptotic Series
Bibliographical Note
Index