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\(q\)-generalizations of Mortenson’s identities and further identities. (English) Zbl 1306.05016

Summary: By means of partial fraction decomposition, we give simple proofs of Mortenson’s identities first. Then, inspired by them, we derive their \(q\)-generalizations and explore further identities of similar type.

MSC:

05A30 \(q\)-calculus and related topics
05A19 Combinatorial identities, bijective combinatorics
33C05 Classical hypergeometric functions, \({}_2F_1\)
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