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arxiv: 1406.3732 · v1 · pith:LHPLB3VTnew · submitted 2014-06-14 · 🧮 math.CA

Radii of starlikeness of some special functions

classification 🧮 math.CA
keywords functionsstarlikenessanalyticappliedclassicalcomplexdeterminedifferent
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Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way that the resulting functions are analytic in the unit disc of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.

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