Differential subordination and convexity criteria of integral operators

• Autorzy: R. Chandrashekar , See Keong Lee , K.G. Subramanian
• Języki publikacji: EN

Abstrakty

EN

A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.

Słowa kluczowe

EN

Convex functions; Differential subordination; Integral operators

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: 1509-1516

Daty

wydano

2017-01-01

otrzymano

2017-03-10

zaakceptowano

2017-09-19

online

2017-12-29

Twórcy

autor

R. Chandrashekar

• , , , , , ,,

autor

See Keong Lee

• , , , ,,

autor

K.G. Subramanian

• , , ,,

Identyfikatory

DOI

10.1515/math-2017-0127