Latha, S. and Raju, D. S. and Poornima, N.
(2008)
*A Note on radius of starlikeness and convexity of p-valent analytic functions.*
International Journal of Mathematical Analysis, 2 (23).
pp. 1111-1116.
ISSN 1312-8876

Text (Full Text)
A Note on Radius of Starlikeness.pdf - Published Version Download (91kB) |

## Abstract

LetApdenote the class of analytic functions of the formf(z)=zp+∞∑n=p+1anzn(p∈N={1,2,3, ...})defined in the unit discU={z:|z|<1}and Ω denote the class of functionssuch thatω(0) = 0 and|ω(z)|<1. LetP(A, B, p, α) be the class of functionsof the formp(z)=p+∞∑n=1anznandp(z)=p+γω(z)1+Bω(z),−1≤B<A≤1whereγ=(p−α)A+αB.In this paper, we define the classSq(A, B, p, α)offunctionsf(z)∈Apsuch thatq+zf(q+1)(z)f(q)(z)=p(z) forp(z)∈P(A, B, p, α)and radius of starlikeness and convexity of functions in this class are studied.

Item Type: | Article |
---|---|

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Yuvaraj college > Mathematics |

Depositing User: | Manjula P Library Assistant |

Date Deposited: | 03 Sep 2019 07:48 |

Last Modified: | 03 Sep 2019 07:48 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/7486 |

### Actions (login required)

View Item |