A Note on Legendre Polynomials

DOI10.1515/IJNSNS.2001.2.4.365zbMath1075.33502OpenAlexW2321654706MaRDI QIDQ4678171

C. Cesarano, Paolo Emilio Ricci, Giuseppe Dattoli

Publication date: 23 May 2005

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns.2001.2.4.365

zbMATH Keywords

Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (23)

Bilateral generating functions and operational methods ⋮ The Mittag-Leffler-Legendre polynomials and their Lie-algebraic relations ⋮ Finding discrete Bessel and Tricomi convolutions of certain special polynomials ⋮ Orthogonality associated with Bessel-type Sheffer sequences with Q-parameters ⋮ Properties of certain new special polynomials associated with Sheffer sequences ⋮ A unified family of multivariable Legendre poly-Genocchi polynomials ⋮ Finding mixed families of special polynomials associated with Appell sequences ⋮ Operational methods, special polynomial and functions and solution of partial differential equations ⋮ Families of Legendre-Sheffer polynomials ⋮ Fractional calculus and families of generalized Legendre-Laguerre-Appell polynomials ⋮ Umbral treatment and lacunary generating function for Hermite polynomials ⋮ Generalized Fubini Apostol-type polynomials and probabilistic applications ⋮ Operational methods and Laguerre-Gould Hopper polynomials ⋮ Certain generating functions of Hermite - Bernoulli - Legendre polynomials ⋮ Analytical properties of Touchard-based hybrid polynomials via operational techniques ⋮ A note on Legendre-based multi poly-Euler polynomials ⋮ Legendre polynomials: Lie methods and monomiality ⋮ Some properties of Legendre-Gould Hopper polynomials and operational methods ⋮ Unnamed Item ⋮ A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays\(^\star \) ⋮ Differential and integral equations associated with some hybrid families of Legendre polynomials ⋮ Differential and integral equations for Legendre-Laguerre-based hybrid polynomials ⋮ Certain generating funtion of generalized Apostol type Legendre-based polynomials

Cites Work

• Generalized polynomials and associated operational identities

This page was built for publication: A Note on Legendre Polynomials