Srivastava, H. M.; Eker, Sevtap Sümer Some applications of a subordination theorem for a class of analytic functions. (English) Zbl 1138.30014 Appl. Math. Lett. 21, No. 4, 394-399 (2008). Summary: By making use of a subordination theorem for analytic functions, we derive several subordination relationships between certain subclasses of analytic functions which are defined by means of the Sălăgean derivative operator. Some interesting corollaries and consequences of our results are also considered. Cited in 11 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:analytic functions; univalent functions; subordinating factor sequence; Sălăgean derivative operator; Hadamard product (or convolution) PDFBibTeX XMLCite \textit{H. M. Srivastava} and \textit{S. S. Eker}, Appl. Math. Lett. 21, No. 4, 394--399 (2008; Zbl 1138.30014) Full Text: DOI References: [1] S.S. Eker, S. Owa, Certain classes of analytic functions involving Sălăgean operator, J. Inequal. Pure Appl. Math. (in course of publication); S.S. Eker, S. Owa, Certain classes of analytic functions involving Sălăgean operator, J. Inequal. Pure Appl. Math. (in course of publication) · Zbl 1165.26325 [2] Gao, C.-Y.; Yuan, S.-M.; Srivastava, H. M., Some functional inequalities and inclusion relationships associated with certain families of integral operators, Comput. Math. Appl., 49, 1787-1795 (2005) · Zbl 1085.30014 [3] Miller, S. S.; Mocanu, P. T., (Differential Subordinations: Theory and Applications. Differential Subordinations: Theory and Applications, Program of Monographs and Textbooks in Pure and Applied Mathematics, vol. 225 (2000), Marcel Dekker: Marcel Dekker New York, Basel) · Zbl 0954.34003 [4] Owa, S.; Nunokawa, M.; Saitoh, H.; Srivastava, H. M., Close-to-convexity, starlikeness, and convexity of certain analytic functions, Appl. Math. Lett., 15, 63-69 (2002) · Zbl 1038.30011 [5] Sălăgean, G.Ş., Subclasses of univalent functions, (Complex Analysis: Fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981). Complex Analysis: Fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981), Lecture Notes in Mathematics, vol. 1013 (1983), Springer-Verlag: Springer-Verlag Berlin, Heidelberg, New York), 362-372 [6] Wilf, H. S., Subordinating factor sequences for convex maps of the unit circle, Proc. Amer. Math. Soc., 12, 689-693 (1961) · Zbl 0100.07201 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.