Generalized Bessel Function Associated with Dihedral Groups
Copyright policy )Generalized Bessel Function Associated with Dihedral Groups
In the present paper the author obtains a generating formula involving a modified Bessel function and a Gegenbauer polynomial. Some connections with the dihedral groups \(D_n\), with \(n=4,6\) and \(n\) odd are also given.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, Generalized Bessel function, generalized Bessel Functions, Jacobi polynomials, dihedral groups, Connections of hypergeometric functions with groups and algebras, and related topics, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Radon Transform, dihedral Groups
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, Generalized Bessel function, generalized Bessel Functions, Jacobi polynomials, dihedral groups, Connections of hypergeometric functions with groups and algebras, and related topics, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Radon Transform, dihedral Groups
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