Differential-recurrence properties of dual Bernstein polynomials
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摘要
New differential-recurrence properties of dual Bernstein polynomials are given which follow from relations between dual Bernstein and orthogonal Hahn and Jacobi polynomials. Using these results, a fourth-order differential equation satisfied by dual Bernstein polynomials has been constructed. Also, a fourth-order recurrence relation for these polynomials has been obtained; this result may be useful in the efficient solution of some computational problems.
论文关键词：Differential equations,Recurrence relations,Bernstein basis polynomials,Dual Bernstein polynomials,Jacobi and Hahn polynomials,Generalized hypergeometric functions
论文评审过程：Received 5 March 2018, Revised 16 May 2018, Accepted 17 June 2018, Available online 14 July 2018, Version of Record 14 July 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.06.039
