Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations |
Contents
NONHOMOGENEOUS CONFLUENT HYPERGEOMETRIC FUNCTIONS | 92 |
NONHOMOGENEOUS WHITTAker and ParabOLIC FUNCTIONS | 143 |
totic Expansion of Fz and F¹z 155 5 14 The Nonhomogeneous | 161 |
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 boundary conditions C₁ C₂ are arbitrary Chapter coefficients confluent hypergeometric functions consider constants of separation contiguous functions contour cosh D₁ d²y d2y dz2 dx² dy dz dz² Erdélyi expressed in terms function defined given Green's function h₁ hypergeometric equation Integrals Connected Lamé functions Laplace's equation linear differential equation linear equation Lommel functions Lorenz's equation Mathieu functions method modified Struve function negative integer nonhomogeneous equation nonhomogeneous Legendre function obtain partial differential equation particular integral particular solution Poisson's equation polynomial positive integer power series recurrence formulas regular singularities separation of variables shown Similarly singular point sinh solution of Poisson's ẞ₁ ẞq Struve function transformation values w₁ w₂ y₁ y₂ zero žµ α₁