Some univalence criteria

• Autorzy: Blezu D. , Pascu N. N.
• Języki publikacji: EN

Abstrakty

EN

In the first part of this paper we give a new univalence criterion for the regular functions defined in the unit disk U by means of the well known Becker's criterion. [1]. Using this criterion, in second part we can find univalence for two integral operators which improve similar results given by Y. J. Kim, E. P. Merkes and J. Pfalzgraff.

Słowa kluczowe

EN

spiralike functions; univalence

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 1
• Strony: 31--34
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Blezu D.

• Department of Mathematics, "Lucian Blaga" University, str. Dr. I. Raţiu 5-7, 2400 Sibiu, Romania

autor

Pascu N. N.

• Department of Mathematics, "Transilvania" University, Str. Iuliu Maniu 50, 2200 Brasov, Romania

• Department of Mathematics "Lucian Blaga" University str. dr. I. Ratiu 5-7 2400 Sibiu, Romania

Bibliografia

• [1] J. Becker, Löwnersche Differentialgleichung und Quasikonform fortsetzbare schlichte Functionen, J. Reine Angen. Math. 255 (1972), 23-42.
• [2] Y. I. Kim, E. P. Merkes, On an integral of powers of a spiralike functions, Kyungook Math. J. vol. 12, nr. 2 (1972), 249-253.
• [3] J. Pfaltzgraph, Univalence of the integral (f'(z))c, Bull. London Math. Soc. 7 (1975), Nr. 3, 254-256.