Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example
نویسندگان
چکیده
منابع مشابه
Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example
Using the theory of orthogonal polynomials, their associated recursion relations and differential formulas we develop a new method for evaluating integrals that include orthogonal polynomials. The method is illustrated by obtaining the following integral result that involves the Bessel function and associated Laguerre polynomial: integral(infinity)(0) x(v)e(-x/2) J(v)(mu x)L-n(2v)(x)dx = 2(v)Ga...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.02.020