Geodesic
The generalized Airy diffusion equation
Electronic journal of differential equations, Tome 2003 (2003)
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.
Classification : 33C10, 35C05, 44A15
Keywords: diffusion polynomial solutions, Bessel calculus, positive definite kernels 
@article{EJDE_2003__2003__a175,
     author = {Cholewinski,  Frank M. and Reneke,  James A.},
     title = {The generalized {Airy} diffusion equation},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1060.33009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a175/}
}
TY  - JOUR
AU  - Cholewinski,  Frank M.
AU  - Reneke,  James A.
TI  - The generalized Airy diffusion equation
JO  - Electronic journal of differential equations
PY  - 2003
VL  - 2003
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a175/
LA  - en
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%A Reneke,  James A.
%T The generalized Airy diffusion equation
%J Electronic journal of differential equations
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%V 2003
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a175/
%G en
%F EJDE_2003__2003__a175
Cholewinski,  Frank M.; Reneke,  James A. The generalized Airy diffusion equation. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a175/