A few properties of the third Jackson q-Bessel function |
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Authors: | J. L. Cardoso |
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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 |
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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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