A note on the Jacobi-Stirling numbers

作者:Merca Mircea*
来源:Integral Transforms and Special Functions, 2014, 25(3): 196-202.
DOI:10.1080/10652469.2013.838756

摘要

The Jacobi-Stirling numbers of both kinds are specializations of elementary and complete homogeneous symmetric functions. We use this fact to discover and prove some algebraic identities involving Jacobi-Stirling numbers. The Legendre-Stirling numbers are very special cases of the Jacobi-Stirling numbers. New connections between the Legendre-Stirling numbers and the central factorial numbers of odd indices are presented.

  • 出版日期2014-3-4

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