Some Theorems on Tauber's Generalized Stirling, Lah and Bell Numbers

Roberto Bagsarsa Corcino, Cristina Bordaje Corcino, Gladys Jane Rama

Abstract

In this paper, some properties for Tauber's generalized Stirling and Lah numbers are obtained including other forms of recurrence relations, orthogonality and inverse relations, rational generating function and explicit formual in symmetric function form. Moreover, a new explicit formula is derived, which is analogous to the Qi formula.

Keywords

Stirling numbers, Whitney numbers, Dowling numbers, generating function, recurrence relation

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