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Extensions of sufficient conditions for starlikeness and convexity of order

✍ Scribed by Neslihan Uyanık; Melike Aydogan; Shigeyoshi Owa

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
220 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

Starlike of order α

Convex of order α a b s t r a c t For analytic functions f (z) in the open unit disk U, there are many sufficient conditions for f (z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures Appl. 33 (1988) 117-124], some extensions of sufficient conditions for f (z) to be starlike of order α and to be convex of order α are discussed.

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