Some questions and conjectures in the theory of univalent functions
Date
2009-08-27T16:52:09Z
Authors
Lin, Li Jian
Srivastava, H.M.
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Abstract
The main object of this paper is first to answer a question of Campbell and Singh in the affirmative, and then show that Komatu's conjecture and Thomas' conjecture are false at least in some cases.
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Keywords
univalent function, Komatu's conjecture, Thomas' conjecture, starlike functions, alpha-spirallike functions, close-to-convex functions, Polya-Schoenberg conjecture, integral convolution, Riemann zeta function