An analytical expression for arbitrary derivatives of Gaussian functions exp(ax 2)

Kara, Mehmet2024-09-252024-09-2520091992-1950https://hdl.handle.net/20.500.12491/12801In this study, an analytical expression for the arbitrary derivatives of Gaussian function e ax2 is developed. Using this analytical expression developed within Rodrigues representation, an alternative expression is presented for the Hermite functions. With the help of the expression presented here the Hermite functions can easily be estimated. © 2009 Academic Journals.eninfo:eu-repo/semantics/closedAccessArbitrary derivativesGaussian functionsHermite polynomialRodrigues representationAn analytical expression for arbitrary derivatives of Gaussian functions exp(ax 2)Article442472492-s2.0-70350059586N/A