Radii of starlikeness of some special functions

A. Baricz, Dimitar K. Dimitrov, Halit Orhan, Nihat Yağmur

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.

Original languageEnglish
Pages (from-to)3355-3367
Number of pages13
JournalProceedings of the American Mathematical Society
Volume144
Issue number8
DOIs
Publication statusPublished - 2016

Fingerprint

Starlikeness
Special Functions
Radius
Argand diagram
Unit Disk
Normalization

Keywords

  • Lommel functions of the first kind
  • Radius of starlikeness
  • Starlike functions
  • Struve functions
  • Trigonometric integrals
  • Univalent
  • Zeros of Lommel functions of the first kind
  • Zeros of Struve functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Radii of starlikeness of some special functions. / Baricz, A.; Dimitrov, Dimitar K.; Orhan, Halit; Yağmur, Nihat.

In: Proceedings of the American Mathematical Society, Vol. 144, No. 8, 2016, p. 3355-3367.

Research output: Contribution to journalArticle

Baricz, A. ; Dimitrov, Dimitar K. ; Orhan, Halit ; Yağmur, Nihat. / Radii of starlikeness of some special functions. In: Proceedings of the American Mathematical Society. 2016 ; Vol. 144, No. 8. pp. 3355-3367.
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