THE COMPLETE BELL POLYNOMIALS FOR CERTAIN ARGUMENTS IN TERMS OF STIRLING NUMBERS OF THE 1ST KIND

[摘要] The value of the (exponential) complete Bell polynomials for certain arguments, given essentially by finite sums of reciprocal powers with a real parameter, is expressed in terms of coefficients generated by the power series expansion of a Pochhammer symbol. This result generalizes an earlier result given by Comtet, which relates these polynomials for certain arguments to Stirling numbers of the first kind.

[发布日期] 1994-05-30

[关键词] COMPLETE BELL POLYNOMIALS;STIRLING NUMBERS OF THE 1ST KIND;POCHHAMMER SYMBOL