Univalence criterion for certain integral operators

• Autorzy: Hamada H.
• Języki publikacji: EN

Abstrakty

EN

Pescar investigated the univalence of certain integral operators. We will show that the results are obtained by the Schwarz lemma. We will also give some generalizations.

Słowa kluczowe

EN

univalent functions; integral operators; Schwarz lemma

PL

funkcje uniwalentne; operatory integralne; lemat Schwarza

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 1
• Strony: 43--46
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Hamada H.

• Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-Chome, Higashi-ku, Fukuoka 813-8503, Japan

Bibliografia

• [1] J. Becker, Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. Reine Angew. Math. 255 (1972), 23-43.
• [2] S. Ozaki and M. Nunokawa, The Schwarzian derivative and univalent functions, Proc. Amer. Math. Soc. 33 (1972), 392-394.
• [3] N. N. Pascu, An improvement of Becker's univalence criterion, Proceedings of the Commemorative Session Simion Stoilow, Braşov, (1987), 43-48.
• [4] V. Pescar, New criteria for univalence of certain integral operators, Demonstratio Mathematica 33 (2000), 51-54.
• [5] V. Pescar, On univalence of certain. integral operators, Indian J. Pure Appl. Math. 31 (2000), 975-978.