科研之友
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摘要
First we show that the quadratic decomposition of the Appell polynomials with respect to the q-divided difference operator is supplied by two other Appell sequences with respect to a new operator M(q;q-epsilon), where e represents a complex parameter different from any negative even integer number. While seeking all the orthogonal polynomial sequences invariant under the action of M(root q;q-epsilon/2) (the M(root q;q) epsilon/2-Appell), only the Wall q-polynomials with parameter q(epsilon/2+1) are achieved, up to a linear transformation. This brings a new characterization of these polynomial sequences.
- 出版日期2011-12
