Strongly gamma-starlike functions of order alpha
Annales UMCS, Mathematica (2013)
- Volume: 67, Issue: 2, page 43-51
- ISSN: 2083-7402
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topMamoru Nunokawa, and Janusz Sokół. "Strongly gamma-starlike functions of order alpha." Annales UMCS, Mathematica 67.2 (2013): 43-51. <http://eudml.org/doc/267937>.
@article{MamoruNunokawa2013,
abstract = {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.},
author = {Mamoru Nunokawa, Janusz Sokół},
journal = {Annales UMCS, 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; Nunokawa's lemma},
language = {eng},
number = {2},
pages = {43-51},
title = {Strongly gamma-starlike functions of order alpha},
url = {http://eudml.org/doc/267937},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Mamoru Nunokawa
AU - Janusz Sokół
TI - Strongly gamma-starlike functions of order alpha
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 2
SP - 43
EP - 51
AB - 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.
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; Nunokawa's lemma
UR - http://eudml.org/doc/267937
ER -
References
top- [1] Brannan, D. A., Kirwan, W. E., On some classes of bounded univalent functions, J. London Math. Soc. 1 (2) (1969), 431-443.[Crossref] Zbl0177.33403
- [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] Zbl0793.30007
- [6] Robertson, M. S., On the theory of univalent functions, Ann. Math. 37 (1936), 374-408.[Crossref] Zbl62.0373.05
- [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] Zbl1120.30015
- [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]
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