CONFERENCE PROCEEDINGS
Advanced Search
Home > Proceedings > Volume 4386 > Article
Paper
26 July 2001 Integral representation and a Rodrigues-type difference formula for the continuous q-Hermite polynomials
Natig M. Atakishiyev, Mesuma K. Atakishiyeva
Author Affiliations +
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.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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
ACCESS THE FULL ARTICLE
ORGANIZATIONAL
Sign in with credentials provided by your organization.
INSTITUTIONAL
Select your institution to access the SPIE Digital Library.
SELECT YOUR INSTITUTION
PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
PERSONAL SIGN IN
No SPIE Account? Create one
PURCHASE THIS CONTENT
SUBSCRIBE TO DIGITAL LIBRARY
50 downloads per 1-year subscription
Members: $195
Non-members: $335 ADD TO CART
25 downloads per 1 - year subscription
Members: $145
Non-members: $250 ADD TO CART
PURCHASE SINGLE ARTICLE
Includes PDF, HTML & Video, when available
Members: $17.00
Non-members: $21.00 ADD TO CART
PROCEEDINGS
 7 PAGES
DOWNLOAD PAPER SAVE TO MY LIBRARY
GET CITATION
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Fourier transforms
Aerospace engineering
Integral transforms
Oscillators
Quantum mechanics
Quantum physics
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top