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Commutators, anti-commutators and Eulerian calculus

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Publication:1170485
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DOI10.1216/RMJ-1982-12-1-171zbMath0496.47030OpenAlexW2070140105MaRDI QIDQ1170485

Philip Feinsilver

Publication date: 1982

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1982-12-1-171


zbMATH Keywords

basic hypergeometric seriesLeibniz rulebasic difference operatorboson typefermion type


Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Linear difference operators (47B39)


Related Items (7)

The commutation relation \(xy=qyx+hf(y)\) and Newton's binomial formula ⋮ Elements of q-harmonic analysis ⋮ Applications of deformed oscillators ⋮ Singular vectors of quantum group representations for straight Lie algebra roots ⋮ Lie algebras and recurrence relations. III: \(q\)-analogs and quantized algebras ⋮ Classical and quantum Heisenberg groups, their representations and applications ⋮ Representations of the deformed oscillator algebra for different choices of generators




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