On Applications of Differential Subordination to Certain Subclass of Multivalent Functions
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In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator γλp (a, c). Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.
Abstract
In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator γλp (a, c). Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.
참고문헌 (7)
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- N. E. Cho, "Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators", J. Math. Anal. Appl, 292, pp.470~483 (2004)
- D. J. Hallenbeck, "Subordination by convex functions", Proc. Amer. Math. Soc, 52, pp.191~195 (1975)
- J. Patel, "On certain subclasses of multivalent functions involving Cho-Kwon-Srivastava operator", Ann. Univ. Mariae Curie-Sk lodowska Sect. A, 60, pp.75~86 (2006)
- St. Ruscheweyh, "Subordination and convex univalent functions", Bull. Pol. Acad. Sci. Math, 33, pp.499~502 (1985)
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- J. Sok´o l, "Convolution properties for certain classes of multivalent functions", J. Math. Anal. Appl, 337, pp.1190~1197 (2008)
