Demonstration Of Laguerre Polynomials As Solutions Of The Laguerre Differential Equations

Authors: DIKE CHUKWUMA KINGSLEY | Natural & Applied Sciences Computer Science Projects 29 pages 2,391 words

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ABSTRACT

 The Laguerre polynomials have been derived using their generating function defined by. —xt w(x,t) = (1—t)'exp i — and recurrence relation developed by their use. These recurrence relations were employed to show that the polynomials are solutions of the Laguerre second order non-hornogenous linear ordinary differential equation.

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