An integral operator on the classes and
Nicoleta Ularu; Nicoleta Breaz
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)
- Volume: 67, Issue: 2
- ISSN: 0365-1029
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Abstract
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topNicoleta Ularu, and Nicoleta Breaz. "An integral operator on the classes $\mathcal {S}^{\ast }(\alpha )$ and $\mathcal {CVH}(\beta )$." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 67.2 (2013): null. <http://eudml.org/doc/289784>.
@article{NicoletaUlaru2013,
abstract = {The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order $\alpha $ and from the class $\mathcal \{CVH\}(\beta )$ and also we estimate the first two coefficients for functions obtained by this operator applied on the class $\mathcal \{CVH\}(\beta )$.},
author = {Nicoleta Ularu, Nicoleta Breaz},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {},
language = {eng},
number = {2},
pages = {null},
title = {An integral operator on the classes $\mathcal \{S\}^\{\ast \}(\alpha )$ and $\mathcal \{CVH\}(\beta )$},
url = {http://eudml.org/doc/289784},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Nicoleta Ularu
AU - Nicoleta Breaz
TI - An integral operator on the classes $\mathcal {S}^{\ast }(\alpha )$ and $\mathcal {CVH}(\beta )$
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2013
VL - 67
IS - 2
SP - null
AB - The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order $\alpha $ and from the class $\mathcal {CVH}(\beta )$ and also we estimate the first two coefficients for functions obtained by this operator applied on the class $\mathcal {CVH}(\beta )$.
LA - eng
KW -
UR - http://eudml.org/doc/289784
ER -
References
top- Acu, M., Owa, S., Convex functions associated with some hyperbola, J. Approx. Theory Appl. 1 (1) (2005), 37–40.
- Breaz, N., Breaz, D., Acu, M., Some properties for an integral operator on the -class , IJOPCA 2 (1) (2010), 53–58.
- Pescar, V., The univalence of an integral operator, Gen. Math. 19 (4) (2011), 69–74.
- Robertson, M. S., Certain classes of starlike functions, Michigan Math. J. 76 (1) (1954), 755–758.
- Ularu, N., Convexity properties for an integral operator, Acta Univ. Apulensis Math. Inform. 27 (2011), 115–120.
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