The different tongues of q-calculus

DOI10.3176/proc.2008.2.03zbMath1161.33302OpenAlexW2025590073MaRDI QIDQ3540625

Thomas Ernst

Publication date: 24 November 2008

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2008.2.03

zbMATH Keywords

\(q\)-seriestheta functionselliptic functions\(q\)-calculushistory of mathematicsnotation\(q\)-Appell functions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) History of mathematics and mathematicians (01A99)

Related Items (12)

Second order linear q-difference equations: Nonoscillation and asymptotics ⋮ An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ New concepts of Hahn calculus and impulsive Hahn difference equations ⋮ Fractional \(q\)-symmetric calculus on a time scale ⋮ Unnamed Item ⋮ The \(q\)-symmetric variational calculus ⋮ On the \(q\)-analogues of Srivastava's triple hypergeometric functions ⋮ Hahn Laplace transform and its applications ⋮ Higher-order Hahn's quantum variational calculus ⋮ q-analogues of general reduction formulas by Buschman and Srivastava and an important q-operator reminding of MacRobert ⋮ Generalized transversality conditions for the Hahn quantum variational calculus ⋮ Natural boundary conditions in the calculus of variations

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