The generalized Airy diffusion equation
Date
2003-08-22
Authors
Cholewinski, Frank M.
Reneke, James A.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Solutions of a generalized Airy diffusion equation and an associated nonlinear partial differential equation are obtained. Trigonometric type functions are derived for a third order generalized radial Euler type operator. An associated complex variable theory and generalized Cauchy-Euler equations are obtained. Further, it is shown that the Airy expansions can be mapped onto the Bessel Calculus of Bochner, Cholewinski and Haimo.
Description
Keywords
Diffusion polynomial solutions, Bessel calculus, Positive definite kernels
Citation
Cholewinski, F. M., & Reneke, J. A. (2003). The generalized Airy diffusion equation. <i>Electronic Journal of Differential Equations, 2003</i>(87), pp. 1-64.
Rights
Attribution 4.0 International