Some General Formulas Associated with the Seconb-omder Homogeneous Polynomial Line-sequences
نویسنده
چکیده
In our previous report [5], we developed some methods ie the study of the line-sequential properties of the polynomial sequences treated in Shannon and Horadam [9]. In this report, we work out the properties for the general case and apply them to the Pell polynomial line-sequence as an example. Some known results are included for completeness, but only new aspects will be presented in some detail. 1. THE BASIC FORMULAS Recall that the linear homogeneous second-order recurrence relation is given by cun+bun+l = un+29 c,b*0, W E Z ; (1.0a) and a general line-sequence is expressed as \J(cJh):...,u_3,u_2,u_l,[uQ,uJ,u2,u3,u4,...yunGm., (1.0b)
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Some Basic Line-sequential Properties of Polynomial Line-sequences
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