The Laguerre and Legendre polynomials from an operational point of view.

DOI10.1016/S0096-3003(00)00082-5zbMath1036.33008OpenAlexW2101178175MaRDI QIDQ1855076

Giuseppe Dattoli, C. Cesarano, Hari M. Srivastava

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00082-5

zbMATH Keywords

Bessel functionsLegendre polynomialsmonomialityLaguerre-Bessel functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Operational rules and d-orthogonal polynomials of Laguerre type ⋮ Truncated-exponential-based Frobenius-Euler polynomials ⋮ Operational rules and a generalized Hermite polynomials ⋮ Some results on quasi-monomiality. ⋮ Orthogonality of some polynomial sets via quasi-monomiality. ⋮ Sums of finite products of Legendre and Laguerre polynomials ⋮ A note on degenerate Hermite poly-Bernoulli numbers and polynomials ⋮ Around operators not increasing the degree of polynomials ⋮ On a new family related to truncated exponential and Sheffer polynomials ⋮ A set of finite order differential equations for the Appell polynomials ⋮ On a family of hybrid polynomials ⋮ Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering ⋮ Quadratic decomposition of Laguerre polynomials via lowering operators ⋮ Generalizations on Humbert polynomials and functions ⋮ Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series

Cites Work

• Operational rules and arbitrary order Hermite generating functions
• Generalized polynomials and associated operational identities
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