Some differential subordinations using Ruscheweyh derivative and Šalǎgean operator

Advances in Difference Equations

Volumn 2013, Issue , 2013, Pages

  Lupaş, Alina Alb ^a  

^a UNIVERSITY OF ORADEA   (Romania)

Author keywords

Best dominant; Convex function; Differential operator; Differential subordination; Ruscheweyh derivative; S l gean operator

Indexed keywords

EID: 84893551562     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2013-150     Document Type: Article

References (7)

1. Sǎlǎgean, GS: Subclasses of Univalent Functions. Lecture Notes in Math., vol. 1013, pp. 362-372. Springer, Berlin (1983)
2. Ruscheweyh, S: New criteria for univalent functions. Proc. Am. Math. Soc. 49, 109-115 (1975)
3. Alb Lupa̧s, A: On special differential subordinations using Sǎlǎgean and Ruscheweyh operators. Math. Inequal. Appl. 12(4), 781-790 (2009)
4. Alb Lupa̧s, A: On a certain subclass of analytic functions defined by Salagean and Ruscheweyh operators. J. Math. Appl. 31, 67-76 (2009)
5. Alb Lupa̧s, A, Breaz, D: On special differential superordinations using Sǎlǎgean and Ruscheweyh operators. In: Geometric Function Theory and Applications (Proc. of International Symposium, Sofia, 27-31 August 2010), pp. 98-103 (2010)
6. Miller, SS, Mocanu, PT: Differential Subordinations. Theory and Applications. Dekker, New York (2000)
7. Alb Lupa̧s, DA: Subordinations and Superordinations. Lambert Academic Publishing (2011)