Mahid M. Mangontarum

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20172026

most citedSome Generalizations of Spivey's Bell Number Formula

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math.NT2017

Some Theorems and Applications of the $(q, r)$ -Whitney Numbers

Mahid M. Mangontarum

The $(q, r)$ -Whitney numbers were recently defined in terms of the $q$ -Boson operators, and several combinatorial properties which appear to be $q$ -analogues of similar properties w…

math.NT2017

Spivey's Bell Number Formula Revisited

Mahid M. Mangontarum

This paper introduces an alternative form of the derivation of Spivey's Bell number formula which involves the $q$ -Boson operators $a$ and $a^{†}$ . Furthermore, a similar for…

Some Theorems and Applications of the (q,r)-Whitney Numbers

Spivey's Bell Number Formula Revisited

Some Theorems and Applications of the $(q, r)$ -Whitney Numbers