On fractional \((p,q)\)-calculus (Q2144041)

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Language	Label	Description	Also known as
English	On fractional \((p,q)\)-calculus	scientific article

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scholarly article

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On fractional \((p,q)\)-calculus (English)

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Jarunee Soontharanon

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Thanin Sitthiwirattham

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Advances in Difference Equations

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publication date

1 June 2022

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zbMATH Keywords

\((p, q)\)-calculus

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1186/s13662-020-2512-7

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Quantum calculus

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\(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory

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q-Serre relations in U<sub>q</sub>(u<sub>n</sub>) and q-deformed meson mass sum rules

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Kinetic model for \(q\)-deformed bosons and fermions

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\(q\)-functional field theory for particles with exotic statistics.

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\(q\)-field theory

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<i>q</i>-Deformation of the Coulomb problem

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The <i>q</i>-Coulomb problem in configuration space

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The <i>q</i>-Coulomb problem

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A <i>q</i>-deformation of the Coulomb problem

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One-parameter family of selfdual solutions in classical Yang-Mills theory.

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On the representations of GL<sub>p,q</sub>(2), GL<sub>p,q</sub>(1 mod 1) and non-commutative spaces

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Representations of two parameter quantum algebras and \(p,q\)-special functions

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Two-Parameter Deformation of the Oscillator Algebra and (p, q)Analog of Two-Dimensional Conformal Field Theory

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On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas

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On \((p, q)\)-analogue of Bernstein operators

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A certain \((p,q)\)-derivative operator and associated divided differences

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Nonlocal boundary value problems for (p, q)-difference equations

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On the second-order quantum \((p, q)\)-difference equations with separated boundary conditions

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\((p,q)\)-beta functions and applications in approximation

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\((p,q)\)-gamma operators which preserve \(x^2\)

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Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators

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Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers

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Approximation by \((p,q)\)-Lorentz polynomials on a compact disk

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Convergence of iterates of q-Bernstein and (p,q)-Bernstein operators and the Kelisky-Rivlin type theorem

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On the convergence of Lupaş \((p ,q)\)-Bernstein operators via contraction principle

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Some Opial-type integral inequalities via \((p, q)\)-calculus

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Some Fractional <i>q</i>-Integrals and <i>q</i>-Derivatives

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Differences of Fractional Order

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On fractional Hahn calculus

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1186/S13662-020-2512-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2144041

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