Hasan Coskun

Affiliation: Texas A\&M University Commerce

Email: hasan.coskun@tamuc.edu

Title Of Talk: Multiple Special Numbers

URL: http://faculty.tamu-commerce.edu/hcoskun/

Abstract: The author has recently constructed multiple $qt$-binomial coefficients, and multiple analogues of several celebrated families of related special numbers. These higher dimensional generalizations include the $qt$-Stirling numbers of first and second kind, $qt$-Bell numbers, $qt$-Bernoulli numbers, $qt$-Catalan numbers, $qt$-Fibonacci numbers, and $qt$-polygonal numbers, etc. Certain significant applications are also studied including discrete probability measures on the set of integer partitions. In this talk, we present certain fundamental properties of these remarkable families of multiple special numbers.

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