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On a Kind of Series Summation Utilizing C-Numbers

查看全文 作  者:Leetsch [1]C.HSU;Xinrong [2]MA 高影响力作者 机构地区:[1]School of Mathematical Sciences, Dalian University of Technology;[2]School of Mathematical Sciences, Soochow University高影响力机构 出  处:《Journal of Mathematical Research with Applications》索引2014年第34卷第1期,共11页高影响力期刊 基  金:Supported by the National Natural Science Foundation of China (Grant No.11071183) 摘  要:This paper provides a pair of summation formulas for a kind of combinatorial series involvingak+b m as a factor of the summand.The construction of formulas is based on a certain series transformation formula[2,7,9]and by making use of the C-numbers[3].Various consequences and examples including several remarkable classic identities are presented to illustrate some applications of the formulas obtained. 关 键 词:级数求和 变换公式 数学 数论
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