Document Zbl 0994.39001

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

J. Phys. A, Math. Gen. 34, No. 27, 5551-5569 (2001).

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.

Reviewer: Quingkai Kong (DeKalb)

Cited in 1 Review

Cited in 3 Documents

MSC:

39A10	Additive difference equations
33C99	Hypergeometric functions

Keywords:

factorization; hypergeometric-type difference equation; nonuniform lattices; raising and lowering operators

Citations:

Zbl 1023.33002

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