m at h . C A ] 5 O ct 1 99 3 A Right Inverse Of The Askey - Wilson Operator ∗ B . Malcolm Brown

نویسنده

  • Mourad E. H. Ismail
چکیده

We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator on L2 with weight (1−x2)−1/2. The kernel of this integral operator is θ′4/θ4 and is the Riemann mapping function that maps the open unit disc conformally onto the interior of an ellipse. Running title: An Inverse Operator 1990 Mathematics Subject Classification: Primary 33D45, 42C10, Secondary 45E10.

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تاریخ انتشار 2008