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.
@article{bwmeta1.element.bwnjournal-article-bcpv37i1p13bwm, author = {Komatu, Yosaku}, title = {On distortion of a class of analytic functions under a familly of operators}, journal = {Banach Center Publications}, volume = {37}, year = {1996}, pages = {13-19}, zbl = {0873.46016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p13bwm} }
Komatu, Yosaku. On distortion of a class of analytic functions under a familly of operators. Banach Center Publications, Tome 37 (1996) pp. 13-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p13bwm/
[000] [1] O. Atlantas, On the coefficients of function majorized by univalent functions, Hacetteppe Bull. Nat. Sci. - Engrg. 10 (1981), 23-30.
[001] [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.
[002] [3] Y. Komatu, On a family of integral operators related to fractional calculus, Kodai Math. J. 10 (1987), 20-38.
[003] [4] Y. Komatu, On analytic differential operator, Unival. Func., Fract. Calc., Appl. Ellis Horwood Ltd., UK (1989), 103-112.
[004] [5] Y. Komatu, On analytic prolongation of a family of operators, Mathematica, Cluj-Napoca 32 (55) (1990), 141-145. | Zbl 0753.30005
[005] [6] Y. Komatu, On distorsion properties of analytic operators, Kodai Math. J. 15 (1992), 1-10.
[006] [7] S. Miller, Differential inequalities and Caratheodory functions, Bull. Amer. Math. Soc. 81 (1975), 79-81. | Zbl 0302.30003