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Double integral starlike operators. (English) Zbl 1156.30014

This paper gives the conditions on the kernel function so that the double integral becomes a starlike function.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
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References:

[1] Fournier R., Complex Vari. Theory Appl. 48 pp 283– (2003)
[2] Miller S. S., Differential Subordinations, Theory and Applications (1999)
[3] Miller S. S., Pacific J. Math. 79 pp 157– (1978)
[4] Obradovic M., Mat. Vesnik. 49 pp 241– (1997)
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