Strongly gamma-starlike functions of order alpha
Mamoru Nunokawa ; Janusz Sokół
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013), / Harvested from The Polish Digital Mathematics Library

In this work we consider the class of analytic functions 𝒢(α,γ), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 28 (1974), 53–58. We discuss the order of strongly starlikeness and the order of strongly convexity in this subclass.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:289764
@article{bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_43-51,
     author = {Mamoru Nunokawa and Janusz Sok\'o\l },
     title = {Strongly gamma-starlike functions of order alpha},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {67},
     year = {2013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_43-51}
}
Mamoru Nunokawa; Janusz Sokół. Strongly gamma-starlike functions of order alpha. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_43-51/

Brannan, D. A., Kirwan, W. E., On some classes of bounded univalent functions, J. London Math. Soc. 1 (2) (1969), 431–443.

Lewandowski, Z., Sur l’identite de certaines classes de fonctions univalentes, II, Ann. Univ. Mariae Curie-Skłodowska Sect. A 14 (1960), 19–46.

Lewandowski, Z., Miller, S., Złotkiewicz, E., Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 28 (1974), 53–58.

Nunokawa, M., On properties of non-Caratheodory functions, Proc. Japan Acad. Ser. A 68 (6) (1992), 152–153.

Nunokawa, M., On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Ser. A 69 (7) (1993), 234–237.

Robertson, M. S., On the theory of univalent functions, Ann. Math. 37 (1936), 374–408.

Sokół, J., On sufficient condition to be in a certain subclass of starlike functions defined by subordination, Appl. Math. Comp. 190 (2007), 237–241.

Stankiewicz, J., Quelques problemes extr emaux dans les classes des fonctions - angulairement etoilees, Ann. Univ. Mariae Curie-Skłodowska Sect. A 20 (1966), 59–75.

Wilken, D. R., Feng, J, A remark on convex and starlike functions, J. London Math. Soc. 21 (2) (1980), 287–290.