Title

Some orthogonal polynomials arising from coherent states

Authors

Authors

S. T. Ali;M. E. H. Ismail

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Phys. A-Math. Theor.

Keywords

STIELTJES MOMENT SEQUENCES; POWERS; GAMMA; Physics, Multidisciplinary; Physics, Mathematical

Abstract

We explore in this paper some orthogonal polynomials which are naturally associated with certain families of coherent states, often referred to as nonlinear coherent states in the quantum optics literature. Some examples turn out to be known orthogonal polynomials but in many cases we encounter a general class of new orthogonal polynomials for which we establish several qualitative results.

Journal Title

Journal of Physics a-Mathematical and Theoretical

Volume

45

Issue/Number

12

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

16

WOS Identifier

WOS:000301882200010

ISSN

1751-8113

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