Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 11, Tome 199 (1992), pp. 81-90
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E. V. Damaskinsky; P. P. Kulish. $q$-Hermite polynomials and $q$-oscillators. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 11, Tome 199 (1992), pp. 81-90. http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a6/
@article{ZNSL_1992_199_a6,
author = {E. V. Damaskinsky and P. P. Kulish},
title = {$q${-Hermite} polynomials and $q$-oscillators},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {81--90},
year = {1992},
volume = {199},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a6/}
}
TY - JOUR
AU - E. V. Damaskinsky
AU - P. P. Kulish
TI - $q$-Hermite polynomials and $q$-oscillators
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1992
SP - 81
EP - 90
VL - 199
UR - http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a6/
LA - ru
ID - ZNSL_1992_199_a6
ER -
%0 Journal Article
%A E. V. Damaskinsky
%A P. P. Kulish
%T $q$-Hermite polynomials and $q$-oscillators
%J Zapiski Nauchnykh Seminarov POMI
%D 1992
%P 81-90
%V 199
%U http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a6/
%G ru
%F ZNSL_1992_199_a6
New $q$-analog of Hermite polynomials was suggested. This definition was based on the notion of deformed oscillator and related with symmetric, with respect to replacement $q\leftrightarrow q^{-1}$, form of $q$-analysis.
