An Application of Differential Subordination to Analytic Functions

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Subordination to Analytic Functions</title> <meta name="description" content="An Application of Differential Subordination to Analytic Functions"> <meta name="keywords" content="function, Differential subordination, Multiplier transformation."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <meta name="citation_title" content="An Application of Differential Subordination to Analytic Functions"> <meta name="citation_author" content="Sukhwinder Singh Billing"> <meta name="citation_author" content="Sushma Gupta"> <meta name="citation_author" content="Sukhjit Singh Dhaliwal"> <meta name="citation_publication_date" content="2009/07/26"> <meta name="citation_journal_title" content="International Journal of Mathematical and Computational Sciences"> <meta name="citation_volume" content="3"> <meta name="citation_issue" content="7"> <meta name="citation_firstpage" content="551"> <meta 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href="https://publications.waset.org/search?q=Sushma%20Gupta"> Sushma Gupta</a>, <a href="https://publications.waset.org/search?q=Sukhjit%20Singh%20Dhaliwal"> Sukhjit Singh Dhaliwal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>the present paper, using the technique of differential subordination, we obtain certain results for analytic functions defined by a multiplier transformation in the open unit disc E = { z : IzI < 1}. We claim that our results extend and generalize the existing results in this particular direction</p> <iframe src="https://publications.waset.org/15126.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=function" title="function">function</a>, <a href="https://publications.waset.org/search?q=Differential%20subordination" title=" Differential subordination"> Differential subordination</a>, <a href="https://publications.waset.org/search?q=Multiplier%20transformation." title=" Multiplier transformation."> Multiplier transformation.</a> </p> <p class="card-text"><strong>Digital Object Identifier (DOI):</strong> <a href="https://doi.org/10.5281/zenodo.1084444" target="_blank">doi.org/10.5281/zenodo.1084444</a> </p> <a href="https://publications.waset.org/15126/an-application-of-differential-subordination-to-analytic-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15126/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15126/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15126/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15126/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15126/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15126/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15126/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15126/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15126/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15126/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15126.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1330</span> </span> <p class="card-text"><strong>References:</strong></p> <br>[1] B. A. Uralegaddi and C. Somanatha, Certain classes of univalent func-tions, in Current Topics in Analytic Function Theory, H. M. Srivastava and S. Owa (ed.), World Scientific, Singapore, (1992), 371-374. <br>[2] B. A. Uralegaddi, Certain subclasses of analytic functions, New Trends In Geometric Functions Theory and Applications. (Madras, 1990) 159-161, World Scientific Publishing Company, Singapore, New Jersey, Londan and Hong Kong, 1991. <br>[3] Ch. Pommerenke, Univalent Functions, Vanderhoeck and Ruprecht, G6tingen, 1975. <br>[4] G. M. Golusin, Some estimates for coefficients of univalent functions, (Russian), Math.Sb., 2(1938), No. 3(45), 321-330. <br>[5] G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math., 1013, 362-372, Springer-Verlag, Heideberg, 1983. <br>[6] Jian Li and S. Owa, Properties of the Said gean operator, Georgian Math. J., 5(4)(1998), 361-366. <br>[7] N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling, 37(2003), 39-49. <br>[8] N. E. Cho and T. H. Kim, Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc., 40(2003), 399-410. <br>[9] R. Aghalary, R. M. Ali, S. B. Joshi and V. Ravichandran, Inequalities for analytic functions defined by certain linear operators, Int. J. Math. Sci., 4(2005), 267-274. <br>[10] S. Owa, C. Y. Shen and M. Obradovi6, Certain subclasses of analytic functions, Tamkang J. Math., 20(1989), 105-115. <br>[11] S. S. Miller and P. T. Mocanu, Second-order differential inequalities in the complex plane, J. Math. Anal. Appl., 65(1978), 289-305. <br>[12] S. S. Miller and P. T. Mocanu, Differential subordination and Univalent functions, Michigan Math. J., 28(1981), 157-171. <br>[13] Miller, S. S. and Mocanu, RT., Differential Suordinations : Theory and Applications, Series on monographs and textbooks in pure and applied mathematics (No. 225), Marcel Dekker, New York and Basel, 2000. </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">© 2024 World Academy of Science, Engineering and Technology</div> </div> </footer> <a href="javascript:" id="return-to-top"><i class="fas fa-arrow-up"></i></a> <div class="modal" id="modal-template"> <div class="modal-dialog"> <div class="modal-content"> <div class="row m-0 mt-1"> <div class="col-md-12"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> </div> </div> <div class="modal-body"></div> </div> </div> </div> <script src="https://cdn.waset.org/static/plugins/jquery-3.3.1.min.js"></script> <script src="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.waset.org/static/js/site.js?v=150220211556"></script> <script> jQuery(document).ready(function() { /*jQuery.get("https://publications.waset.org/xhr/user-menu", function (response) { jQuery('#mainNavMenu').append(response); });*/ jQuery.get({ url: "https://publications.waset.org/xhr/user-menu", cache: false }).then(function(response){ jQuery('#mainNavMenu').append(response); }); }); </script> </body> </html>

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An Application of Differential Subordination to Analytic Functions