Laguerre polynomials of arbitrary (fractional) orders.

DOI10.1016/S0096-3003(98)10112-1zbMath1049.33005OpenAlexW2045396154MaRDI QIDQ1569163

Ahmed M. A. El-Sayed

Publication date: 25 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10112-1

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (4)

On generalisation of polynomials in complex plane ⋮ Complete and orthonormal sets of exponential-type orbitals with non-integer quantum numbers ⋮ Properties of fractional calculus with respect to a function and Bernstein type polynomials ⋮ Fractional calculus and generalized Rodrigues formula.

Cites Work

• Multivalued fractional differential equations
• Fractional-order diffusion-wave equation
• Linear differential equations of fractional orders
• Nonlinear functional differential equations of arbitrary orders
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