Cholewinski, Frank M.Reneke, James A.2021-01-082021-01-082003-08-22Cholewinski, F. M., & Reneke, J. A. (2003). The generalized Airy diffusion equation. <i>Electronic Journal of Differential Equations, 2003</i>(87), pp. 1-64.1072-6691https://hdl.handle.net/10877/13095Solutions 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.Text64 pages1 file (.pdf)enAttribution 4.0 InternationalDiffusion polynomial solutionsBessel calculusPositive definite kernelsArticle