An integral operator on the classes 𝒮 * ( α ) and 𝒞𝒱ℋ ( β )

Nicoleta Ularu; Nicoleta Breaz

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)

  • Volume: 67, Issue: 2
  • ISSN: 0365-1029

Abstract

top
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 α and from the class 𝒞𝒱ℋ ( β ) and also we estimate the first two coefficients for functions obtained by this operator applied on the class 𝒞𝒱ℋ ( β ) .

How to cite

top

Nicoleta 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
  1. Acu, M., Owa, S., Convex functions associated with some hyperbola, J. Approx. Theory Appl. 1 (1) (2005), 37–40. 
  2. Breaz, N., Breaz, D., Acu, M., Some properties for an integral operator on the 𝒞𝒱ℋ ( β ) -class , IJOPCA 2 (1) (2010), 53–58. 
  3. Pescar, V., The univalence of an integral operator, Gen. Math. 19 (4) (2011), 69–74. 
  4. Robertson, M. S., Certain classes of starlike functions, Michigan Math. J. 76 (1) (1954), 755–758. 
  5. Ularu, N., Convexity properties for an integral operator, Acta Univ. Apulensis Math. Inform. 27 (2011), 115–120. 

NotesEmbed ?

top

You must be logged in to post comments.