A few properties of the Third Jackson q-Bessel Function

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2016-12
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Springer
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The Hahn–Exton (third Jackson) q-Bessel function attracts the attention of many researchers in mathematics. We add a few more properties of this important function, such as some identities and upper bounds involving this function, in relation with the coefficients of the corresponding basic Fourier–Bessel expansions.
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Hahn–Exton q-Bessel function, Third Jackson q-Bessel function, q-series, basic Fourier expansion
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