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http://142.54.178.187:9060/xmlui/handle/123456789/10431| Title: | On Some Classes of Generalized k-Uniformly Analytic Functions and Related Topics |
| Authors: | Fayyaz, Rabia |
| Keywords: | Natural Sciences |
| Issue Date: | 2016 |
| Publisher: | COMSATS Institute of Information Technology Islamabad - Pakistan |
| Abstract: | On SomeClassesofGeneralized k-Uniformly Analytic FunctionsandRelatedTopics The mainfocusofthisstudyistode necertainnewclassesofanalyticfunctionsusingthe concepts ofboundedboundaryrotationandboundedradiusrotationaswellassomeof their generalizationsinconicdomains.Thisresearchmostlydependsonthetechniquesof convolution(Hadamardproduct)anddi erentialsubordination.WeusetheRuscheweyh derivative,theNoorintegraloperatorandthegeneralizedSalageanoperatortode nesome new classesofanalyticfunctions.Somegeometricandanalyticpropertiessuchasinclusion relations, integralpreservingpropertiesundercertainintegraloperators,radiusproblems, rate ofgrowthproblems,closureunderconvolutionwithconvexfunctions,Hankeldeter- minantproblemandFekete-Szegotypeinequalitiesareinspectedsystematically.Mostof the resultsaresharp.Wealsodiscusstheconnectionsoftheseresultswithalreadyexisting classes inthepreviousliteratureofthesubject.Thisresearchisrationalizedwiththe advancedtrendsinthe eldofGeometricFunctionTheory. |
| URI: | http://142.54.178.187:9060/xmlui/handle/123456789/10431 |
| Appears in Collections: | Thesis |
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