A fractional \(q\)-derivative operator and fractional extensions of some \(q\)-orthogonal polynomials

DOI10.1007/S11139-019-00181-WzbMath1462.39007OpenAlexW2981886026WikidataQ126981616 ScholiaQ126981616MaRDI QIDQ829856

P. Njionou Sadjang, Salifou Mboutngam

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00181-w

zbMATH Keywords

\(q\)-hypergeometric functions\(q\)-orthogonal polynomials\(q\)-fractional calculusfractional \(q\)-differential equationsfractional \(q\)-derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• \(q\)-fractional calculus and equations
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
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