Open AccessSubordination by convex functions
Author(s) -
Ram Singh,
Sukhjit Singh
Publication year - 2000
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s016117120000140x
Subject(s) - mathematics , subordination (linguistics) , convex function , regular polygon , pure mathematics , subderivative , combinatorics , convex optimization , geometry , linguistics , philosophy
Let K(α), 0≤α<1, denote the class of functions g(z)=z+Σn=2∞anzn which are regular and univalently convex of order α in the unit disc U. Pursuing the problem initiated by Robinson in the present paper, among other things, we prove that if f is regular in U,f(0)=0, andf(z)+zf′(z)
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