Applications of Laguerre Polynomials in Second-Order Differential Equations and Some of Their Applications
Keywords:
Laguerre Polynomials, Second-Order Differential Equations, Generating Function, Rodrigues FormulaAbstract
In this research, Laguerre polynomials were studied as one of the orthogonal functions that play a fundamental role in solving second-order differential equations. They are also considered among the important orthogonal functions with significant applications in approximation theory. Laguerre polynomials are regarded as functions that were developed based on certain physical phenomena related to second-order differential equations. Furthermore, this research includes the study of their definition, properties, and some of their applications.
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