TY - JOUR
T1 - Two expansion formulas involving the Rogers-Szegä polynomials with applications
AU - Liu, Zhi Guo
AU - Zeng, Jiang
N1 - Publisher Copyright:
© 2015 World Scientific Publishing Company.
PY - 2015/3/25
Y1 - 2015/3/25
N2 - Using two expansion formulas for the Rogers-Szegö polynomials and the Stieltjes-Wigert polynomials, we give new proofs of a variety of important classical formulas including Bailey's 6ψ6 summation, the Askey-Wilson integral and its extension. Furthermore, we give nontrivial extensions of the Andrews multiple version of the Rogers-Selberg identity, as well as the Sylvester identity.
AB - Using two expansion formulas for the Rogers-Szegö polynomials and the Stieltjes-Wigert polynomials, we give new proofs of a variety of important classical formulas including Bailey's 6ψ6 summation, the Askey-Wilson integral and its extension. Furthermore, we give nontrivial extensions of the Andrews multiple version of the Rogers-Selberg identity, as well as the Sylvester identity.
KW - Askey-Wilson integral
KW - Bailey's 6ψ6 summation
KW - Rogers-Selberg identity
KW - Rogers-Szegö polynomials
KW - q-Series
UR - https://www.scopus.com/pages/publications/84928591308
U2 - 10.1142/S1793042115500268
DO - 10.1142/S1793042115500268
M3 - 文章
AN - SCOPUS:84928591308
SN - 1793-0421
VL - 11
SP - 507
EP - 525
JO - International Journal of Number Theory
JF - International Journal of Number Theory
IS - 2
ER -