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Further results on generalized Kapteyn-type expansions

✍ Scribed by Tibor Pogány

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
418 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

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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