Generalized Jacobsthal polynomials and special points for them
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摘要
In this work we introduce a family of polynomials that satisfy the recurrence relations for Jacobsthal polynomials with generalized initial conditions by analogy to work of V.K. Gupta, Y.K. Panwar, and O. Sikhwal from 2012. Explicit closed form and the Binet formulas for the generalized Jacobsthal polynomials are presented. The generating function and other relations for them are also found. Special points for this family are analyzed and presented pictorially.
论文关键词：Jacobsthal polynomials,Binet formula,Generating function
论文评审过程：Received 6 November 2014, Revised 16 May 2015, Accepted 1 July 2015, Available online 23 July 2015, Version of Record 23 July 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.07.002
