Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus

In this paper, we introduce and study a new class A^* (λ,μ,ν,η,p,ζ,τ) of meromorphic multivalent functions defined by fractional calculus operator of the punctured unit disc U^*. On this class we obtain several results like, coefficient inequality, modified Hadamard product, (N,δ)- neighborhood, p...

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Main Authors: Aqeel Ketab AL-khafaji, Waggas Galib Atshan, Salwa Salman Abed
Format: Article
Language:English
Published: University of Kerbala 2019-06-01
Series:Karbala International Journal of Modern Science
Subjects:
Online Access:https://kijoms.uokerbala.edu.iq/home/vol5/iss2/3/
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author Aqeel Ketab AL-khafaji
Waggas Galib Atshan
Salwa Salman Abed
author_facet Aqeel Ketab AL-khafaji
Waggas Galib Atshan
Salwa Salman Abed
author_sort Aqeel Ketab AL-khafaji
collection DOAJ
description In this paper, we introduce and study a new class A^* (λ,μ,ν,η,p,ζ,τ) of meromorphic multivalent functions defined by fractional calculus operator of the punctured unit disc U^*. On this class we obtain several results like, coefficient inequality, modified Hadamard product, (N,δ)- neighborhood, partial sums, convex linear combination and integral operator.
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spelling doaj.art-10da197f0e974ddba392871dae684de52022-12-21T18:51:35ZengUniversity of KerbalaKarbala International Journal of Modern Science2405-609X2405-61032019-06-0152818810.33640/2405-609X.1012Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional CalculusAqeel Ketab AL-khafaji0Waggas Galib Atshan1Salwa Salman Abed2University of BabylonUniversity of Al-QadisiyahUniversity of BaghdadIn this paper, we introduce and study a new class A^* (λ,μ,ν,η,p,ζ,τ) of meromorphic multivalent functions defined by fractional calculus operator of the punctured unit disc U^*. On this class we obtain several results like, coefficient inequality, modified Hadamard product, (N,δ)- neighborhood, partial sums, convex linear combination and integral operator.https://kijoms.uokerbala.edu.iq/home/vol5/iss2/3/meromorphic multivalent functioncoefficient inequalityconvex linear combinationneighborhoodpartial sum
spellingShingle Aqeel Ketab AL-khafaji
Waggas Galib Atshan
Salwa Salman Abed
Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus
Karbala International Journal of Modern Science
meromorphic multivalent function
coefficient inequality
convex linear combination
neighborhood
partial sum
title Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus
title_full Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus
title_fullStr Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus
title_full_unstemmed Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus
title_short Neighborhoods and Partial Sums of a New Class of Meromorphic Multivalent Functions Defined by Fractional Calculus
title_sort neighborhoods and partial sums of a new class of meromorphic multivalent functions defined by fractional calculus
topic meromorphic multivalent function
coefficient inequality
convex linear combination
neighborhood
partial sum
url https://kijoms.uokerbala.edu.iq/home/vol5/iss2/3/
work_keys_str_mv AT aqeelketabalkhafaji neighborhoodsandpartialsumsofanewclassofmeromorphicmultivalentfunctionsdefinedbyfractionalcalculus
AT waggasgalibatshan neighborhoodsandpartialsumsofanewclassofmeromorphicmultivalentfunctionsdefinedbyfractionalcalculus
AT salwasalmanabed neighborhoodsandpartialsumsofanewclassofmeromorphicmultivalentfunctionsdefinedbyfractionalcalculus