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

Kara, Mehmet2021-06-232021-06-2320091992-1950https://hdl.handle.net/20.500.12491/6501https://academicjournals.org/article/article1380620971_Kara.pdfIn 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.eninfo:eu-repo/semantics/closedAccessArbitrary DerivativesGaussian FunctionsHermite PolynomialRodrigues RepresentationAn analytical expression for arbitrary derivatives of Gaussian functions exp(ax(2))Article44247249N/AWOS:000266169200014N/A