The generalized Airy diffusion equation

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dc.contributor.authorCholewinski, Frank M.
dc.contributor.authorReneke, James A.
dc.date.accessioned2021-01-08T18:30:11Z
dc.date.available2021-01-08T18:30:11Z
dc.date.issued2003-08-22
dc.description.abstractSolutions 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent64 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCholewinski, F. M., & Reneke, J. A. (2003). The generalized Airy diffusion equation. <i>Electronic Journal of Differential Equations, 2003</i>(87), pp. 1-64.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13095
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectDiffusion polynomial solutions
dc.subjectBessel calculus
dc.subjectPositive definite kernels
dc.titleThe generalized Airy diffusion equationen_US
dc.typeArticle

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