On parameter derivatives of a family of polynomials in two variables

DOI10.1016/j.amc.2015.01.069zbMath1338.33023OpenAlexW2082430927MaRDI QIDQ299720

Rabia Aktaş

Publication date: 22 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.069

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsgeneralized Gegenbauer polynomialsparameter derivatives

Mathematics Subject Classification ID

Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Representations for parameter derivatives of some Koornwinder polynomials in two variables

Cites Work

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• A note on parameter derivatives of the Jacobi polynomials on the triangle
• A note on a family of two-variable polynomials
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• On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order)
• On the derivative of the associated Legendre function of the first kind of integer degree with respect to its order (with applications to the construction of the associated Legendre function of the second kind of integer degree and order)
• Representations of orthogonal polynomials
• Classical orthogonal polynomials: Dependence of parameters
• Identities for families of orthogonal polynomials and special functions
• Parameter derivatives of the jacoby polynomials and the gaussian hypergeometric function
• On the derivatives ∂²P_ν(z)/∂ν² and ∂Q_ν (z)/∂ν of the Legendre functions with respect to their degrees
• Addendum to ‘On the derivative of the Legendre function of the first kind with respect to its degree’
• On the derivative of the Legendre function of the first kind with respect to its degree

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