Monomiality principle, operational methods and family of Laguerre–Sheffer polynomials
Copyright policy )Monomiality principle, operational methods and family of Laguerre–Sheffer polynomials
The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established. The authors prove also a result that gives the differential equation which the Laguerre-Sheffer polynomials satisfy as well as a recurrence relation for these polynomials.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), monomiality principle, Appell, Horn and Lauricella functions, Laguerre-Sheffer polynomials, Applied Mathematics, Sheffer polynomials, Laguerre-Appell polynomials, Analysis, operational methods
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), monomiality principle, Appell, Horn and Lauricella functions, Laguerre-Sheffer polynomials, Applied Mathematics, Sheffer polynomials, Laguerre-Appell polynomials, Analysis, operational methods
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