On distortion of a class of analytic functions under a familly of operators

• Autorzy: Yosaku Komatu
• Języki publikacji: EN

Abstrakty

EN

Consider a family of integral operators and a related family of differential operators, both defined on a class of analytic functions holomorphic in the unit disk, distortion properties of the real part are derived from a general aspect.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 13-19

Daty

wydano

1996

Twórcy

autor

Yosaku Komatu

• Kanazawa Institute of Technology, Kanazawa, Japan

Bibliografia

• [1] O. Atlantas, On the coefficients of function majorized by univalent functions, Hacetteppe Bull. Nat. Sci. - Engrg. 10 (1981), 23-30.
• [2] Y. Komatu, On distorsion of the real part in a class of analy functions related to fractional integration. Compl. Var. 7 (1986), 97-106.
• [3] Y. Komatu, On a family of integral operators related to fractional calculus, Kodai Math. J. 10 (1987), 20-38.
• [4] Y. Komatu, On analytic differential operator, Unival. Func., Fract. Calc., Appl. Ellis Horwood Ltd., UK (1989), 103-112.
• [5] Y. Komatu, On analytic prolongation of a family of operators, Mathematica, Cluj-Napoca 32 (55) (1990), 141-145.
• [6] Y. Komatu, On distorsion properties of analytic operators, Kodai Math. J. 15 (1992), 1-10.
• [7] S. Miller, Differential inequalities and Caratheodory functions, Bull. Amer. Math. Soc. 81 (1975), 79-81.