Hermite and Laguerre Differential Equations
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Date
2018-09-01
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Addis Ababa University
Abstract
In this thesiswe study two important families of polynomials calledHermite and Laguerre
polynomials. These special functions, like so many others functions arise as solutions of ordinary
differential equations and have many interesting orthogonality properties. We prove some
properties of the Hermite and Laguerre polynomials. These polynomials can be given through
generating functions and Rodrigues formulae.
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Keywords
Hermite, Laguerre, Differential Equations