DOAJ Open Access 2015

Some combinatorial identities involving noncommuting variables

Michael Schlosser Meesue Yoo

Lihat Sumber DOI

Abstrak

We derive combinatorial identities for variables satisfying specific sets of commutation relations. The identities thus obtained extend corresponding ones for $q$-commuting variables $x$ and $y$ satisfying $yx=qxy$. In particular, we obtain weight-dependent binomial theorems, functional equations for generalized exponential functions, we propose a derivative of noncommuting variables, and finally utilize one of the considered weight functions to extend rook theory. This leads us to an extension of the $q$-Stirling numbers of the second kind, and of the $q$-Lah numbers.

Topik & Kata Kunci

Mathematics

Penulis (2)

Michael Schlosser

Meesue Yoo

Format Sitasi

APA MLA BibTeX

Schlosser, M., Yoo, M. (2015). Some combinatorial identities involving noncommuting variables. https://doi.org/10.46298/dmtcs.2467

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2467

Informasi Jurnal

Tahun Terbit: 2015
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2467
Akses: Open Access ✓