Mathematics – Classical Analysis and ODEs
Scientific paper
1993-10-05
Mathematics
Classical Analysis and ODEs
Scientific paper
We establish an integral representation of a right inverse of the
Askey-Wilson finite difference operator on $L^2$ with weight $(1-x^2)^{-1/2}$.
The kernel of this integral operator is $\vartheta'_4/\vartheta_4$ and is the
Riemann mapping function that maps the open unit disc conformally onto the
interior of an ellipse.
Brown Malcolm B.
Ismail Mourad E. H.
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