Convex combination of analytic functions

• Autorzy: Nak Eun Cho , Naveen Kumar Jain , V. Ravichandran
• Języki publikacji: EN

Abstrakty

EN

Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).

Słowa kluczowe

EN

Convex function; Starlike function; Close-to-convex function; Lemniscate of Bernoulli; Radius of starlikeness; Convolution; Convex combination

Kategorie tematyczne

• 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
• 30C80: Maximum principle; Schwarz's lemma, Lindel\"of principle, analogues and generalizations; subordination

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 331-339

Daty

wydano

2017-01-01

otrzymano

2016-08-18

zaakceptowano

2017-01-26

online

2017-03-29

Twórcy

autor

Nak Eun Cho

• Department of Applied Mathematics, Pukyong National University, Busan 608-737,

autor

Naveen Kumar Jain

• Department of Mathematics, University of Delhi, Delhi-110007,

autor

V. Ravichandran

• Department of Mathematics, University of Delhi, Delhi-110007,

Identyfikatory

DOI

10.1515/math-2017-0021