An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)

• Autorzy: Nicoleta Ularu , Nicoleta Breaz
• Języki publikacji: EN

Abstrakty

EN

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 \(\mathcal{CVH}(\beta)\).

Słowa kluczowe

EN

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2013
• Tom: 67
• Numer: 2

Daty

wydano

2013

online

2015-07-15

Twórcy

autor

Nicoleta Ularu

autor

Nicoleta Breaz

Bibliografia

• 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 \(\mathcal{CVH}(\beta)\)-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.

Identyfikatory

DOI

10.17951/a.2013.67.2.53-58