Further results on generalized Kapteyn-type expansions
نویسنده
چکیده
In memoriam Csörgő Sándor, dear friend and great scholar Keywords: Bessel function of first kind J ν (z) Bounds for J ν (z) Positive zeros j ν,s of J ν (z) Generalized Kapteyn expansion Kapteyn series a b s t r a c t A new inequality is derived for the Bessel function of the first kind J ν (z), ν ∈ R, and a discussion of the consequent convergence is given for the generalized Kapteyn-type expansion, improving certain results obtained recently by the author.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 22 شماره
صفحات -
تاریخ انتشار 2009