Strongly gamma-starlike functions of order alpha
Mamoru Nunokawa ; Janusz Sokół
Annales UMCS, Mathematica, Tome 67 (2013), p. 43-51 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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:267937 
@article{bwmeta1.element.doi-10_2478_v10062-012-0029-6,
     author = {Mamoru Nunokawa and Janusz Sok\'o\l },
     title = {Strongly gamma-starlike functions of order alpha},
     journal = {Annales UMCS, Mathematica},
     volume = {67},
     year = {2013},
     pages = {43-51},
     zbl = {1288.30012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0029-6}
}

Mamoru Nunokawa; Janusz Sokół. Strongly gamma-starlike functions of order alpha. Annales UMCS, Mathematica, Tome 67 (2013) pp. 43-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0029-6/

[1] Brannan, D. A., Kirwan, W. E., On some classes of bounded univalent functions, J. London Math. Soc. 1 (2) (1969), 431-443.[Crossref] | Zbl 0177.33403

[2] Lewandowski, Z., Sur l’identit´e de certaines classes de fonctions univalentes, II, Ann. Univ. Mariae Curie-Skłodowska Sect. A 14 (1960), 19-46.

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

[4] Nunokawa, M., On properties of non-Carath´eodory functions, Proc. Japan Acad. Ser. A 68 (6) (1992), 152-153.[Crossref]

[5] Nunokawa, M., On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Ser. A 69 (7) (1993), 234-237.[Crossref] | Zbl 0793.30007

[6] Robertson, M. S., On the theory of univalent functions, Ann. Math. 37 (1936), 374-408.[Crossref] | Zbl 62.0373.05

[7] Sokół, J., On sufficient condition to be in a certain subclass of starlike functions definedby subordination, Appl. Math. Comp. 190 (2007), 237-241.[Crossref] | Zbl 1120.30015

[8] Stankiewicz, J., Quelques probl`emes extr`emaux dans les classes des fonctions α-angulairement `etoil`ees, Ann. Univ. Mariae Curie-Skłodowska Sect. A 20 (1966), 59-75.

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