Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions

Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions

In this paper, we introduce and study some new classes of multivalent (p -valent) meromorphically starlike functions involving Higher-Order derivatives. For these multivalent classes of functions, we derive several interesting properties including sharp coefficient bounds, neighborhoods, partial sum...

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Main Authors: Bilal Khan, Hari Mohan Srivastava, Nazar Khan, Maslina Darus, Muhammad Tahir, Abdul Samad
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2021-01-01
Series:Journal of Applied and Computational Mechanics
Subjects:
meromoprhic functions
meromorphically starlike functions
functions with positive real parts
higher-order derivatives
Online Access:https://jacm.scu.ac.ir/article_15932_6e99fc95857b9d6f231292fe6c3ce67e.pdf
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spelling doaj-fbd30b3d70a34ffebf694fa9d006de6c2021-02-04T16:51:42ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-01-017132133310.22055/jacm.2020.34948.251815932Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike FunctionsBilal Khan0Hari Mohan Srivastava1Nazar Khan2Maslina Darus3Muhammad Tahir4Abdul Samad5School of Mathematical Sciences, East China Normal University, 500 Dongchuan Road, Shanghai 200241, People’s Republic of China‎Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, CanadaDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan‎Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan‎School of mathematics Northwest University Xi'an 710127 P. R. ChinaIn this paper, we introduce and study some new classes of multivalent (p -valent) meromorphically starlike functions involving Higher-Order derivatives. For these multivalent classes of functions, we derive several interesting properties including sharp coefficient bounds, neighborhoods, partial sums and inclusion relationships. For validity of our results relevant connections with those in earlier works are also pointed out.https://jacm.scu.ac.ir/article_15932_6e99fc95857b9d6f231292fe6c3ce67e.pdfmeromoprhic functionsmeromorphically starlike functionsfunctions with positive real partshigher-order derivatives
collection DOAJ
language English
format Article
sources DOAJ
author Bilal Khan
Hari Mohan Srivastava
Nazar Khan
Maslina Darus
Muhammad Tahir
Abdul Samad
spellingShingle Bilal Khan
Hari Mohan Srivastava
Nazar Khan
Maslina Darus
Muhammad Tahir
Abdul Samad
Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions
Journal of Applied and Computational Mechanics
meromoprhic functions
meromorphically starlike functions
functions with positive real parts
higher-order derivatives
author_facet Bilal Khan
Hari Mohan Srivastava
Nazar Khan
Maslina Darus
Muhammad Tahir
Abdul Samad
author_sort Bilal Khan
title Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions
title_short Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions
title_full Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions
title_fullStr Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions
title_full_unstemmed Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions
title_sort applications of higher-order derivatives to the subclasses of ‎meromorphic starlike functions
publisher Shahid Chamran University of Ahvaz
series Journal of Applied and Computational Mechanics
issn 2383-4536
2383-4536
publishDate 2021-01-01
description In this paper, we introduce and study some new classes of multivalent (p -valent) meromorphically starlike functions involving Higher-Order derivatives. For these multivalent classes of functions, we derive several interesting properties including sharp coefficient bounds, neighborhoods, partial sums and inclusion relationships. For validity of our results relevant connections with those in earlier works are also pointed out.
topic meromoprhic functions
meromorphically starlike functions
functions with positive real parts
higher-order derivatives
url https://jacm.scu.ac.ir/article_15932_6e99fc95857b9d6f231292fe6c3ce67e.pdf
work_keys_str_mv AT bilalkhan applicationsofhigherorderderivativestothesubclassesofmeromorphicstarlikefunctions
AT harimohansrivastava applicationsofhigherorderderivativestothesubclassesofmeromorphicstarlikefunctions
AT nazarkhan applicationsofhigherorderderivativestothesubclassesofmeromorphicstarlikefunctions
AT maslinadarus applicationsofhigherorderderivativestothesubclassesofmeromorphicstarlikefunctions
AT muhammadtahir applicationsofhigherorderderivativestothesubclassesofmeromorphicstarlikefunctions
AT abdulsamad applicationsofhigherorderderivativestothesubclassesofmeromorphicstarlikefunctions
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