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On a new class of analytic functions associated with conic domain
Authors:Khalida Inayat Noor Sarfraz Nawaz Malik
Affiliation:
  • Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
  • Abstract:The aim of this paper is to generalize the conic domain defined by Kanas and Wisniowska, and define the class of functions which map the open unit disk E onto this generalized conic domain. A brief comparison between these conic domains is the main motivation of this paper. A correction is made in selecting the range interval of order of conic domain.
    Keywords:Analytic functions   Conic domains     mmlsi8"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111004068&  _mathId=si8.gif&  _pii=S0898122111004068&  _issn=08981221&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=27afb5fc59bfef479f0e4a707e0e10f4')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >k-uniformly convex functions     mmlsi9"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111004068&  _mathId=si9.gif&  _pii=S0898122111004068&  _issn=08981221&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=b4868934cb3a1cd925f2ad8381cbe146')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >k-starlike functions
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