一些二项式系数的交错二重和

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 573-577.

一些二项式系数的交错二重和

1. Department of Mathematics, Hangzhou Normal University2. School of Computing Science, Zhejiang University City College

收稿日期:2012-03-03 出版日期:2013-12-30 发布日期:2023-02-17
作者简介:ZHENG De-yin(1963-), male, native of Nanyang, Henan, an associate professor of Hangzhou Normal University, Ph.D., engages in combinatorics and hypergeometric series; TANG Pei-pei(1982-), female, native of Yongjia, Zhejiang, a lecturer of Zhejiang University City College, Ph.D., engages in combinatorics and hypergeometric series(corresponding author).
基金资助:
Supported by the Natural Science Foundation of Zhejiang Province(Y7080320,LY12A01030)； Supported by the National Natural Science Foundation of China(11226297)； Supported by the Zhejiang Univesrity City College Scientific Research Foundation(J-13003)

Some Alternating Double Binomial Sums

1. Department of Mathematics, Hangzhou Normal University2. School of Computing Science, Zhejiang University City College

Received:2012-03-03 Online:2013-12-30 Published:2023-02-17
About author:ZHENG De-yin(1963-), male, native of Nanyang, Henan, an associate professor of Hangzhou Normal University, Ph.D., engages in combinatorics and hypergeometric series; TANG Pei-pei(1982-), female, native of Yongjia, Zhejiang, a lecturer of Zhejiang University City College, Ph.D., engages in combinatorics and hypergeometric series(corresponding author).
Supported by:
Supported by the Natural Science Foundation of Zhejiang Province(Y7080320,LY12A01030)； Supported by the National Natural Science Foundation of China(11226297)； Supported by the Zhejiang Univesrity City College Scientific Research Foundation(J-13003)

摘要/Abstract

摘要： We consider some new alternating double binomial sums. By using the Lagrange inversion formula, we obtain explicit expressions of the desired results which are related to a third-order linear recursive sequence. Furthermore, their recursive relation and generating functions are obtained.

关键词: alternating double binomial sum, Lagrange inversion formula, Fibonacci number

Abstract: We consider some new alternating double binomial sums. By using the Lagrange inversion formula, we obtain explicit expressions of the desired results which are related to a third-order linear recursive sequence. Furthermore, their recursive relation and generating functions are obtained.

Key words: alternating double binomial sum, Lagrange inversion formula, Fibonacci number

中图分类号:

O157.1

郑德印, 唐培培. 一些二项式系数的交错二重和[J]. 数学季刊, 2013, 28(4): 573-577.

ZHENG De-yin, TANG Pei-pei. Some Alternating Double Binomial Sums[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 573-577.