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Kudriasov type univalence criteria for some integral operators. (English) Zbl 1470.30024

Summary: We consider some integral operators defined by analytic functions in the open unit disk and derive new univalence criteria for these operators, using Kudriasov condition for a function to be univalent.

MSC:

30C55 General theory of univalent and multivalent functions of one complex variable
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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References:

[1] Pescar, V.; Breaz, V. D., The Univalence of Integral Operators (2008), Sofia, Bulgaria: Academic Publishing House, Sofia, Bulgaria
[2] Kudriasov, N. S., Onekotorîh priznakah odnolistnosti analiticeschih funktii, Matematiceskie Zametki, 13, 3, 359-366 (1973)
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