Some orthogonal polynomials arising from coherent states

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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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