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Generating functions for powers of second-order recurrence sequences
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For the sequences satisfying the recurrence relation of the second order,the generating functions for the products of the powers of these sequences are established.This study was from Carlita and Riordan who began a study on closed form of generating functions for powers of second-order recurrence sequences.This investigation was completed by Stǎnicǎ.Inspired by the recent work of István about the non-closed generating functions of the products of the powers of the second-order sequences,the authors give several extensions of István's results in this paper.
generating functionsecond-order sequencethe Binet formula
WANG Xiao-xia、LI Mei
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Department of mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
Project supported by the Shanghai Leading Academic Discipline Project
NETL
NSTL
万方数据
维普
