Shanmugam, Tirunelveli Nellaiappan; Srikandan, Sivasubramanian; Frasin, Basem Aref; Kavitha, Seetharaman On sandwich theorems for certain subclasses of analytic functions involving Carlson-Shaffer operator. (English) Zbl 1143.30308 J. Korean Math. Soc. 45, No. 3, 611-620 (2008). Summary: The purpose of the present paper is to derive some subordination and superordination results involving Carlson-Shaffer operator for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered. Cited in 7 Documents MSC: 30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:differential subordination; differential superordination PDFBibTeX XMLCite \textit{T. N. Shanmugam} et al., J. Korean Math. Soc. 45, No. 3, 611--620 (2008; Zbl 1143.30308) Full Text: DOI