Integral representation and a Rodrigues-type difference formula for the continuous q-Hermite polynomials

Natig M. Atakishiyev; Mesuma K. Atakishiyeva

doi:10.1117/12.434212

26 July 2001 Integral representation and a Rodrigues-type difference formula for the continuous q-Hermite polynomials

Natig M. Atakishiyev, Mesuma K. Atakishiyeva

Proceedings Volume 4386, Photonic and Quantum Technologies for Aerospace Applications III; (2001) https://doi.org/10.1117/12.434212
Event: Aerospace/Defense Sensing, Simulation, and Controls, 2001, Orlando, FL, United States

Abstract

We derive a simple integral representation and the corresponding Rodrigues-type difference formula for the continuous q-Hermite polynomials of Rogers. As a consequence, this also yields the appropriate formula for the Rogers-Szego and Stieltjes-Wigert polynomials.

Citation Download Citation

Natig M. Atakishiyev and Mesuma K. Atakishiyeva "Integral representation and a Rodrigues-type difference formula for the continuous q-Hermite polynomials", Proc. SPIE 4386, Photonic and Quantum Technologies for Aerospace Applications III, (26 July 2001); https://doi.org/10.1117/12.434212

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