| On a Kind of Summation Formula Using Howard's Generalized Stirling Numbers |
| Received:January 15, 2009 Revised:June 30, 2009 |
| Key Words:
generalized factorial Howard's GSN series-transformation formula formal series summation.
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| Abstract: |
| It is shown that Howard's degenerate weighted Stirling numbers can be used to construct a fruitful summation formula for a class of formal power series involving generalized factorials. This is achieved with the aid of a series-transformation formula due to He, Hsu and Shiue, and several identities involving generalized Stirling numbers and Bell numbers are given to illustrate the application of the formula obtained. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.006 |
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