On Generalized Spiral-like Analtyic Functions

Muhammad Aslam Noor

Abstract


 

  Inthis  paper,  weusetheconcept  ofbounded  Mocanu  variation  tointroduce  anewclassof analyticfunctions,definedintheopenunitdisc,whichunifiesanumber  ofclassespreviously  studiedsuch asthoseoffunctionswithbounded  radius  rotationand  bounded  Mocanu  variation.  Italsogeneralizesthe concept ofβ-spirallikenessinsomesense.Someinterestingpropertiesofthisclassincludinginclusionresults, arclengthproblems  andasufficientconditionforunivalency  arestudied.

 


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