Generalized and mixed type Gegenbauer polynomials
Copyright policy )Generalized and mixed type Gegenbauer polynomials
Using the integral representation method and the monomiality principle (see e.g.[\textit{G. Dattoli}, Advanced special functions and applications. Proceedings of the workshop, Melfi, Italy, May 9-12, 1999. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 147--164 (2000; Zbl 1022.33006)]) the authors introduce some new generalized form of the Gegenbauer polynomials. In the second part of the paper they introduce a mixed Hermite-Gegenbauer and the Laguerre-Gegenbauer polynomials by using the operational identities associated with the generalized Hermite and Laguerre polynomials of two variables.
Operational methods, Laguerre–Gegenbauer polynomials, Applied Mathematics, Hermite-Gegenbauer and the Laguerre-Gegenbauer polynomials, generalized Gegenbauer polynomials, integral representations, two variables polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, Integral representations, Other hypergeometric functions and integrals in several variables, Hermite–Gegenbauer polynomials, Analysis, operational methods
Operational methods, Laguerre–Gegenbauer polynomials, Applied Mathematics, Hermite-Gegenbauer and the Laguerre-Gegenbauer polynomials, generalized Gegenbauer polynomials, integral representations, two variables polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, Integral representations, Other hypergeometric functions and integrals in several variables, Hermite–Gegenbauer polynomials, Analysis, operational methods
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