Some properties for α -starlike functions with respect to k -symmetric points of complex order

H. E. Darwish; A. Y. Lashin; S. M. Sowileh

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2017)

  • Volume: 71, Issue: 1
  • ISSN: 0365-1029

Abstract

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In the present work, we introduce the subclass 𝒯 γ , α k ( ϕ ) , of starlike functions with respect to k -symmetric points of complex order γ ( γ ≠ 0 ) in the open unit disc . Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.

How to cite

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H. E. Darwish, A. Y. Lashin, and S. M. Sowileh. "Some properties for $\alpha $-starlike functions with respect to $k$-symmetric points of complex order." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 71.1 (2017): null. <http://eudml.org/doc/289743>.

@article{H2017,
abstract = {In the present work, we introduce the subclass $\mathcal \{T\}_\{\gamma ,\alpha \}^\{k\}(\varphi )$, of starlike functions with respect to $k$-symmetric points of complex order $\gamma $ ($\gamma \ne 0$) in the open unit disc $\UnimplementedOperator $. Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.},
author = {H. E. Darwish, A. Y. Lashin, S. M. Sowileh},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Analytic functions; starlike functions of complex order; convex functions of complex order; $\alpha $-starlike; $k$-symmetric points; subordination},
language = {eng},
number = {1},
pages = {null},
title = {Some properties for $\alpha $-starlike functions with respect to $k$-symmetric points of complex order},
url = {http://eudml.org/doc/289743},
volume = {71},
year = {2017},
}

TY - JOUR
AU - H. E. Darwish
AU - A. Y. Lashin
AU - S. M. Sowileh
TI - Some properties for $\alpha $-starlike functions with respect to $k$-symmetric points of complex order
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2017
VL - 71
IS - 1
SP - null
AB - In the present work, we introduce the subclass $\mathcal {T}_{\gamma ,\alpha }^{k}(\varphi )$, of starlike functions with respect to $k$-symmetric points of complex order $\gamma $ ($\gamma \ne 0$) in the open unit disc $\UnimplementedOperator $. Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.
LA - eng
KW - Analytic functions; starlike functions of complex order; convex functions of complex order; $\alpha $-starlike; $k$-symmetric points; subordination
UR - http://eudml.org/doc/289743
ER -

References

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