On distortion of a class of analytic functions under a familly of operators
Banach Center Publications (1996)
- Volume: 37, Issue: 1, page 13-19
- ISSN: 0137-6934
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topKomatu, Yosaku. "On distortion of a class of analytic functions under a familly of operators." Banach Center Publications 37.1 (1996): 13-19. <http://eudml.org/doc/208591>.
@article{Komatu1996,
abstract = {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.},
author = {Komatu, Yosaku},
journal = {Banach Center Publications},
keywords = {family of integral operators; family of differential operators; class of analytic functions holomorphic in the unit disk; distortion properties},
language = {eng},
number = {1},
pages = {13-19},
title = {On distortion of a class of analytic functions under a familly of operators},
url = {http://eudml.org/doc/208591},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Komatu, Yosaku
TI - On distortion of a class of analytic functions under a familly of operators
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 13
EP - 19
AB - 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.
LA - eng
KW - family of integral operators; family of differential operators; class of analytic functions holomorphic in the unit disk; distortion properties
UR - http://eudml.org/doc/208591
ER -
References
top- [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. Zbl0753.30005
- [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. Zbl0302.30003
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