Two q-difference equations and q-operator identities
By Zhi-Guo Liu. 2010
86 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Applied Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6a87576a79f5b046e129a1fe59345dce84a65df9
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In Algebra and Number Theory
In Applied Mathematics
In Statistical and Nonlinear Physics
Citations in the corpus
- An extension of the non-terminating 6φ5 summation and the Askey–Wilson polynomials (2011, methodology): “Then f ða; bÞ ¼ TðbDq21 Þ{f ða; 0Þ}, if and only if f ða; bÞ satisfies the q-difference equation af ðaq; bÞ2 bf ða; bqÞ ¼ ða2 bÞf ðaq; bqÞ: ð3:2Þ We only prove Lemma 1.”
- On the q-Partial Differential Equations and q-Series (2018, background): “6 is equivalent to [18, Theorem 4], but the proof in [18] is less rigorous.”