Geodesic
The generalized Airy diffusion equation
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Cholewinski, Frank M. and Reneke, James A.},
     title = {The generalized {Airy} diffusion equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a75/}
}
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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__a75/