Strongly gamma-starlike functions of order alpha

• Autorzy: Mamoru Nunokawa , Janusz Sokół
• Języki publikacji: EN

Abstrakty

EN

In this work we consider the class of analytic functions \(\mathcal{G}(\alpha,\gamma)\), 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.

Słowa kluczowe

EN

Strongly starlike functions of order alpha; convex functions of order alpha; strongly starlike functions of order alpha; gamma-starlike functions; Nunokawa's Lemma.

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2013
• Tom: 67
• Numer: 2

Daty

wydano

2013

online

2015-07-15

Twórcy

autor

Mamoru Nunokawa

autor

Janusz Sokół

Bibliografia

• 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.

Identyfikatory

DOI

10.17951/a.2013.67.2.43-51