Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations |
Contents
NONHOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS | 1 |
EQUATIONS WITH CONSTANT COEFFICIENTS | 33 |
STRUVE AND LOMMEL FUNCTIONS | 53 |
Copyright | |
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Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations A. W. Babister No preview available - 1967 |
Common terms and phrases
a₁ arbitrary constants associated homogeneous equation B₁ b₂ boundary conditions C₁ Chapter coefficients confluent hypergeometric functions consider constants of separation contiguous functions D₁ d²y d2y dz2 dx² dy dz dz² dz2 dy equation d2y Erdélyi expressed in terms function defined given Green's function h₁ hypergeometric equation integrals connected Lamé functions Laplace's equation Legendre functions linear differential equation linear equation Lommel functions Lorenz's equation Mathieu functions method modified Struve function negative integer nonhomogeneous equation nonhomogeneous Legendre function obtain parameters partial differential equation particular integral particular solution Poisson's equation polynomial positive integer power series recurrence formulas regular singularities satisfy separation of variables shown Similarly singular point sinh solution of Poisson's ẞ₁ Struve function transformation values w₁ w₂ y₁ zero žµ α₁