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A few properties of the third Jackson q-Bessel function
Authors:J. L. Cardoso
Affiliation:1.Departamento de Matemática, Escola das Ciências e Tecnologia,Universidade de Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados,Vila Real,Portugal
Abstract: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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