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On basic Fourier-Bessel expansions (Q1749886)

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Language	Label	Description	Also known as
English	On basic Fourier-Bessel expansions	scientific article

Statements

scholarly article

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On basic Fourier-Bessel expansions (English)

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José Luis Cardoso

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

17 May 2018

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full work available at URL

https://arxiv.org/abs/1707.05216

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zbMATH Keywords

third Jackson \(q\)-Bessel function

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Hahn-Exton \(q\)-Bessel function

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basic Fourier-Bessel expansions

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basic hypergeometric function

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asymptotic behavior

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Riemann-Lebesgue theorem

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MaRDI profile type

MaRDI publication profile

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Completeness, special functions and uncertainty principles over<i>q</i>-linear grids

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Functions 𝑞-orthogonal with respect to their own zeros

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On the Completeness of Sets of q-Bessel Functions Jν(3)(x; q)

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The roots of the third J. Jckson \(q\)-Bessel function

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\(q\)-type sampling theorems

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On the zeros of the second and third Jackson <i>q</i>-Bessel functions and their associated <i>q</i>-Hankel transforms

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Elements of harmonic analysis related to the third basic zero order Bessel function

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Basic analog of Fourier series on a \(q\)-linear grid.

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Basic analog of Fourier series on a \(q\)-quadratic grid

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Basic Fourier series on a \(q\)-linear grid: convergence theorems

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Basic Fourier series: convergence on and outside the \(q\)-linear grid

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A few properties of the third Jackson \(q\)-Bessel function

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Variations around Jackson's quantum operator

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Improved \(q\)-exponential and \(q\)-trigonometric functions

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Inequalities related to the third Jackson \(q\)-Bessel function of order zero

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Notes on Special Systems of Orthogonal Functions (II): On Functions Orthogonal with Respect to their Own Zeros

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On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials

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On q-Analogues of the Fourier and Hankel Transforms

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Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions

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Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials

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The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case

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``Addition'' theorems for some \(q\)-exponential and \(q\)-trigonometric functions

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An introduction to basic Fourier series

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An Addition Theorem and Some Product Formulas for the Hahn-Exton <i>q</i>-Bessel Functions

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2018.035

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1749886

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