Further results on generalized Kapteyn-type expansions
Copyright policy )Further results on generalized Kapteyn-type expansions
New inequality is derived for Bessel function of the first kind $J_\nu(z), \nu\in \mathbb R$ and consequent convergence discussion is realized for generalized Kapteyn-type expansion, improving certain results obtained recently by the author.
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Bessel function of first kind \(J_{\nu}(z)\), Applied Mathematics, Kapteyn series, Bessel function of first kindJ_\nu(z); bounds for J_\nu(z); positive zeros j ; s of J .z/; generalized Kapteyn expansion; Kapteyn series, positive zeros \(j_{\nu,s}\) of \(J_{\nu}(z)\), s of J.z/, Positive zeros jν,s of Jν(z), positive zeros j, Bounds for Jν(z), bounds for \(J_{\nu}(z)\), Bessel and Airy functions, cylinder functions, \({}_0F_1\), Bessel function of first kindJ_\nu(z), bounds for J_\nu(z), Generalized Kapteyn expansion, generalized Kapteyn expansion, Bessel function of first kind Jν(z)
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