The J.C.P. miller recurrence for exponentiating a polynomial, and its q- analog

DOI10.1080/10236199508808006zbMath0838.05006OpenAlexW1985294906MaRDI QIDQ4854204

Doron Zeilberger

Publication date: 30 May 1996

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199508808006

zbMATH Keywords

algorithmpolynomialexponentiation\(q\)-analogMaple proceduresMiller recurrence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Additive difference equations (39A10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (10)

On fractional backward differential formulas for fractional delay differential equations with periodic and anti-periodic conditions ⋮ Taylor series method for solving a class of nonlinear singular boundary value problems arising in applied science ⋮ Analysis of the gift exchange problem ⋮ On FBDF5 method for delay differential equations of fractional order with periodic and anti-periodic conditions ⋮ High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equation ⋮ Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis ⋮ Fractional exponential fitting backward differential formulas for solving differential equations of fractional order ⋮ Status of the differential transformation method ⋮ Unnamed Item ⋮ Construction of new generating function based on linear barycentric rational interpolation for numerical solution of fractional differential equations

Uses Software

• Maple

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