Strongly gamma-starlike functions of order alpha
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)
- Volume: 67, Issue: 2
- ISSN: 0365-1029
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topMamoru Nunokawa, and Janusz Sokół. "Strongly gamma-starlike functions of order alpha." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 67.2 (2013): null. <http://eudml.org/doc/289764>.
@article{MamoruNunokawa2013,
abstract = {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.},
author = {Mamoru Nunokawa, Janusz Sokół},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Strongly starlike functions of order alpha; convex functions of order alpha; strongly starlike functions of order alpha; gamma-starlike functions; Nunokawa's Lemma.},
language = {eng},
number = {2},
pages = {null},
title = {Strongly gamma-starlike functions of order alpha},
url = {http://eudml.org/doc/289764},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Mamoru Nunokawa
AU - Janusz Sokół
TI - Strongly gamma-starlike functions of order alpha
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2013
VL - 67
IS - 2
SP - null
AB - 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.
LA - eng
KW - Strongly starlike functions of order alpha; convex functions of order alpha; strongly starlike functions of order alpha; gamma-starlike functions; Nunokawa's Lemma.
UR - http://eudml.org/doc/289764
ER -
References
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- 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.
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- 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.
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