Remarks on a sum containing factorials

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摘要

It is shown how readily a sum containing factorials, which was considered recently by Samoletov (J. Comput. Appl. Math. 131 (2001) 503–504), would follow from substantially more general known results.

论文关键词:primary 33C05,secondary 33B15,40-99,Toeplitz operators,Gauss hypergeometric function,Gamma functions,Pfaff–Kummer hypergeometric transformation,Kummer's summation theorems,Euler's transformation

论文评审过程:Received 1 August 2001, Available online 22 January 2002.

论文官网地址:https://doi.org/10.1016/S0377-0427(02)00355-2