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Some Remarks on Close-to-Convex and Strongly Convex Functions

MATHEMATICA SCANDINAVICA, 2015
We consider questions of the following kind: When does boundedness of $|{\arg \{1+zp'(z)/p(z)\}}|$, for a given analytic function $p$, imply boundedness of $|{\arg\{p(z)\}}|$? The paper determines the order of strong close-to-convexity in the class of strongly convex functions.
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Adequate Criteria for Strongly Starlikeness and Strongly Convexity of Functions

PROOF
T The purpose of this paper is to investigate adequate criteria that ensure the reciprocal of analytic functions to be both strongly starlike and strongly convex within the open unit disk U. Our study leads to the discovery of novel findings.
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Remarks on strongly Wright-convex functions

Annales Polonici Mathematici, 2011
Nelson Merentes   +2 more
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Strongly convex matrix functions

Acta Scientiarum Mathematicarum
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