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Contributions of Alladi Ramakrishnan to the Mathematical Sciences Read chapter Read first chapter

2010 | OriginalPaper | Chapter

(p, q)-Rogers-Szegö Polynomial and the (p, q)-Oscillator

Authors : Ramaswamy Jagannathan, Raghavendra Sridhar

Published in: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Publisher: Springer New York

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Summary

A (p,q)-analog of the classical Rogers-Szegö polynomial is defined by replacing the q-binomial coefficient in it by the (p,q)-binomial coefficient corresponding to the definition of (p,q)-number as \({[n]}_{p,q} = ({p}^{n} - {q}^{n})/(p - q)\). Exactly like the Rogers-Szegö polynomial is associated with the q-oscillator algebra, the (p,q)-Rogers-Szegö polynomial is found to be associated with the (p,q)-oscillator algebra.

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previous chapter On Generalized Clifford Algebras and their Physical Applications
next chapter Rethinking Renormalization
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Metadata
Title
(p, q)-Rogers-Szegö Polynomial and the (p, q)-Oscillator
Authors
Ramaswamy Jagannathan
Raghavendra Sridhar
Copyright Year
2010
Publisher
Springer New York
Book
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Print ISBN: 978-1-4419-6262-1

Electronic ISBN: 978-1-4419-6263-8

Copyright Year: 2010

DOI
https://doi.org/10.1007/978-1-4419-6263-8_29

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