Advanced search
Publication Cover
Integral Transforms and Special Functions Volume 17, 2006 - Issue 12
Submit an article Journal homepage
87
Views
34
CrossRef citations to date
0
Altmetric
Original Articles

Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations

T. N. Shanmugam Department of Mathematics, College of Engineering, Anna University, Chennai, 600 025, Tamilnadu, India
,
S. Sivasubramanian Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai, 600 089, Tamilnadu, India
&
H. M. Srivastava Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3P4, CanadaCorrespondence[email protected]
Pages 889-899 | Received 17 Jul 2006, Published online: 30 Jan 2007

References

  • Miller , S. S. and Mocanu , P. T. 2003 . Subordinants of differential superordinations . Complex Variables Theory and Applications , 48 : 815 – 826 .
  • Bulboacă , T. 2002 . Classes of first-order differential superordinations . Demonstratio Mathematica , 35 : 287 – 292 .
  • Bulboacă , T. 2002 . A class of superordination-preserving integral operators . Indagationes Mathematicae , 13 : 301 – 311 . (New Series)
  • Ali , R. M. , Ravichandran , V. , Khan , M. H. and Subramanian , K. G. 2005 . Differential sandwich theorems for certain analytic functions . Far East Journal of Mathematical Sciences , 15 : 87 – 94 .
  • Shanmugam , T. N. , Ravichandran , V. and Sivasubramanian , S. 2006 . Differential sandwich theorems for some subclasses of analytic functions . Australian Journal of Mathematical Analysis and Applications , 3 ( 1 ) : 1 – 11 . Article 8, (electronic)
  • Obradović , M. and Owa , S. 1990 . On certain properties for some classes of starlike functions . Journal of Mathematical Analysis and Applications , 145 : 357 – 364 .
  • Srivastava , H. M. and Lashin , A. Y. 2005 . Some applications of the Briot–Bouquet differential subordination . Journal of Inequalities in Pure and Applied Mathematics , 6 ( 2 ) : 1 – 7 . Article 41, (electronic)
  • Cho , N. E. and Srivastava , H. M. 2003 . Argument estimates of certain analytic functions defined by a class of multiplier transformations . Mathematical and Computer Modelling , 37 : 39 – 49 .
  • Uralegaddi , B. A. and Somanatha , C. 1992 . “ Certain classes of univalent functions ” . In Current Topics in Analytic Function Theory , Edited by: Srivastava , H. M. and Owa , S. 371 – 374 . Singapore, New Jersey, London, Hong Kong : World Scientific Publishing Company .
  • Flett , T. M. 1972 . The dual of an inequality of Hardy and Littlewood and some related inequalities . Journal of Mathematical Analysis and Applications , 38 : 746 – 765 .
  • Sălăgean , G. S. 1983 . “ Subclasses of univalent functions ” . In Complex Analysis: Fifth Romanian–Finnish Seminar. Part 1 (Bucharest, 1981) , 362 – 372 . Berlin : Springer-Verlag . Lecture Notes in Mathematics, No. 1013
  • Li , J.-L. and Srivastava , H. M. 1999 . Some inclusion properties of the class . Integral Transforms and Special Functions , 8 : 57 – 64 .
  • Miller , S. S. and Mocanu , P. T. 2000 . Differential Subordinations: Theory and Applications , New York : Marcel Dekker . Series in Pure and Applied Mathematics, No. 225

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.