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

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3424

Keywords:

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

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.

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Published

2019-07-25

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Some Theorems on Tauber’s Generalized Stirling, Lah and Bell Numbers. (2019). European Journal of Pure and Applied Mathematics, 12(3), 1069-1081. https://doi.org/10.29020/nybg.ejpam.v12i3.3424