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Summation of reciprocal series of numerical functions of second order. (English) Zbl 0597.10008

Summary: This paper is an extension of the results of G. E. Bergum and V. E. Hoggatt, jun. [ibid. 17, 147-151 (1979; Zbl 0421.10009)] concerning the problem of summation of reciprocals of products of Fibonacci and Lucas polynomials. The method used here will also allow us to generalize some formulas of R. P. Backstrom [ibid. 19, 14-21 (1981; Zbl 0446.10011)] related to sums of reciprocal series of Fibonacci and Lucas numbers.

MSC:

11B37 Recurrences
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