Shanmugam, T. N.; Sivasubramanian, S.; Darus, M.; Kavitha, S. On sandwich theorems for certain subclasses of non-Bazilevič functions involving Cho-Kim transformation \(\|\). (English) Zbl 1138.30307 Complex Var. Elliptic Equ. 52, No. 10-11, 1017-1028 (2007). Summary: The purpose of this present article is to derive some subordination and superordination results involving Cho-Kim transformation for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the article, with various known results are pointed out. Cited in 3 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 subordinations; differential superordinations; dominant; subordinant PDFBibTeX XMLCite \textit{T. N. Shanmugam} et al., Complex Var. Elliptic Equ. 52, No. 10--11, 1017--1028 (2007; Zbl 1138.30307) Full Text: DOI References: [1] DOI: 10.1080/02781070310001599322 · Zbl 1039.30011 [2] Bulboacă T, Demonstratio Mathematical 35 pp 287– (2002) [3] DOI: 10.1016/S0019-3577(02)80013-1 · Zbl 1019.30023 [4] Ali RM, Far East Journal of Mathematical Sciences 15 pp 87– (2005) [5] Shanmugam TN, Australian Journal of Mathematical Analysis and Applications 3 pp 11– (2006) [6] DOI: 10.1016/0022-247X(90)90405-5 · Zbl 0707.30009 [7] Tuneski N, Acta Mathematica Academia Paedagogicae Nyiregyhaziensis 18 pp 63– (2002) [8] Wang Z, Acta Mathematica Academia Paedagogicae Nyiregyhaziensis 21 pp 147– (2005) [9] DOI: 10.4134/BKMS.2003.40.3.399 · Zbl 1032.30007 [10] Komatu Y, Distortion Theorems in Relation to Linear Integral Opeartors (1996) [11] Sălăgean, G.Ş. 1981.Subclasses of Univalent Functions, in Complex Analysis–Fifth Romanian–Finnish Seminar,Part 1, Lecture Notes in Mathematics, 1013 362–372. Bucharest (Berlin: Springer). 1981 [12] Srivastava HM, Journal of Inequalities in Pure and Applied Mathematics 6 pp 7– (2005) [13] Miller SS, Differential Subordinations (2000) [14] Obradović M, Hokkaido Mathematical Journal 27 pp 329– (1998) 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.