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Factorization method for difference equations of hypergeometric type on nonuniform lattices. (English) Zbl 0994.39001

Authors’ summary: We study the factorization of hypergeometric-type difference equation of A. F. Nikiforov and V. B. Uvarov [Integral Transforms Spec. Funct. 1, No. 3, 223-249 (1993; Zbl 1023.33002)] on nonuniform lattices. An explicit form of the raising and lowering operators is derived and some relevant examples are given.

MSC:

39A10 Additive difference equations
33C99 Hypergeometric functions

Citations:

Zbl 1023.33002
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