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On Some Classes of Generalized K-Uniformly Analytic Functions and Related Topics

Thesis Info

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Author

Fayyaz, Rabia

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/7533/1/Rabia_Fayyaz_Maths_CIIT_HSR_2016_01.09.2016.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726802773

Similar


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.
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