### 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 language | English |
---|---|

Pages (from-to) | 3355-3367 |

Number of pages | 13 |

Journal | Proceedings of the American Mathematical Society |

Volume | 144 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2016 |

### Fingerprint

### 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

*Proceedings of the American Mathematical Society*,

*144*(8), 3355-3367. https://doi.org/10.1090/proc/13120

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

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 144, no. 8, pp. 3355-3367. https://doi.org/10.1090/proc/13120

}

TY - JOUR

T1 - Radii of starlikeness of some special functions

AU - Baricz, A.

AU - Dimitrov, Dimitar K.

AU - Orhan, Halit

AU - Yağmur, Nihat

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Lommel functions of the first kind

KW - Radius of starlikeness

KW - Starlike functions

KW - Struve functions

KW - Trigonometric integrals

KW - Univalent

KW - Zeros of Lommel functions of the first kind

KW - Zeros of Struve functions

UR - http://www.scopus.com/inward/record.url?scp=84969759541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969759541&partnerID=8YFLogxK

U2 - 10.1090/proc/13120

DO - 10.1090/proc/13120

M3 - Article

AN - SCOPUS:84969759541

VL - 144

SP - 3355

EP - 3367

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 8

ER -