Generating functions for powers of second-order recurrence sequences

作     者：王晓霞 李梅 

作者机构：Department of mathematicsCollege of SciencesShanghai University 

出 版 物：《Journal of Shanghai University(English Edition)》 (上海大学学报（英文版）)

年 卷 期：2011年第15卷第6期

页      面：517-521页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project supported by the Shanghai Leading Academic Discipline Project (Grant No.S30104) 

主　　题：generating function second-order sequence the Binet formula 

摘      要：For the sequences satisfying the recurrence relation of the second order,the generating functions for the products of the powers of these sequences are *** study was from Carlita and Riordan who began a study on closed form of generating functions for powers of second-order recurrence *** investigation was completed by St*** by the recent work of Istva＇n about the non-closed generating functions of the products of the powers of the second-order sequences,the authors give several extensions of Istva＇n＇s results in this paper.