Radii of starlikeness of some special functions
By 'Arp'ad Baricz, D. Dimitrov, Halit Orhan, Nihat Yağmur. 2014
62 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/e9b0686aa17b044a712b326ecf045153eb1414e5
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In Applied Mathematics
- 'Arp'ad Baricz
- Nihat Yağmur
- Halit Orhan
- .Ibrah.im Aktacs
- Saminathan Ponnusamy
- Javier Segura
- Hari M. Srivastava
- Christian Meyer
In Geometry and Topology
- 'Arp'ad Baricz
- Nihat Yağmur
- Halit Orhan
- .Ibrah.im Aktacs
- Hari M. Srivastava
- Saminathan Ponnusamy
- Javier Segura
- Christian Meyer
Citations in the corpus
- Geometric properties of some Lommel and Struve functions (2014, methodology): “Geometric properties of the Lommel function sμ− 1 2 , 1 2 and of the Struve function Hν were obtained in [3,5] and in [9,15], respectively.”
- Bounds for radii of starlikeness and convexity of some special functions (2016, background): “It is known (see [5]) that the zeros of the function hν(z) = ∑”