A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points

In the present research paper, our aim is to introduce a new subfamily of <i>p</i>-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.

Bibliographic Details
Main Authors: Shahid Mahmood, Hari Mohan Srivastava, Muhammad Arif, Fazal Ghani, Eman S. A. AbuJarad
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/3/2/35
_version_ 1818615576281481216
author Shahid Mahmood
Hari Mohan Srivastava
Muhammad Arif
Fazal Ghani
Eman S. A. AbuJarad
author_facet Shahid Mahmood
Hari Mohan Srivastava
Muhammad Arif
Fazal Ghani
Eman S. A. AbuJarad
author_sort Shahid Mahmood
collection DOAJ
description In the present research paper, our aim is to introduce a new subfamily of <i>p</i>-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.
first_indexed 2024-12-16T16:36:06Z
format Article
id doaj.art-de633f5129d4407a99bd9f0b5b9e1966
institution Directory Open Access Journal
issn 2504-3110
language English
last_indexed 2024-12-16T16:36:06Z
publishDate 2019-06-01
publisher MDPI AG
record_format Article
series Fractal and Fractional
spelling doaj.art-de633f5129d4407a99bd9f0b5b9e19662022-12-21T22:24:28ZengMDPI AGFractal and Fractional2504-31102019-06-01323510.3390/fractalfract3020035fractalfract3020035A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric PointsShahid Mahmood0Hari Mohan Srivastava1Muhammad Arif2Fazal Ghani3Eman S. A. AbuJarad4Department of Mechanical Engineering, Sarhad University of Science and Information Technology, Peshawar 25000, PakistanDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaIn the present research paper, our aim is to introduce a new subfamily of <i>p</i>-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.https://www.mdpi.com/2504-3110/3/2/35multivalent functionsstarlike functionsclose-to-convex functions
spellingShingle Shahid Mahmood
Hari Mohan Srivastava
Muhammad Arif
Fazal Ghani
Eman S. A. AbuJarad
A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points
Fractal and Fractional
multivalent functions
starlike functions
close-to-convex functions
title A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points
title_full A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points
title_fullStr A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points
title_full_unstemmed A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points
title_short A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points
title_sort criterion for subfamilies of multivalent functions of reciprocal order with respect to symmetric points
topic multivalent functions
starlike functions
close-to-convex functions
url https://www.mdpi.com/2504-3110/3/2/35
work_keys_str_mv AT shahidmahmood acriterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT harimohansrivastava acriterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT muhammadarif acriterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT fazalghani acriterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT emansaabujarad acriterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT shahidmahmood criterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT harimohansrivastava criterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT muhammadarif criterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT fazalghani criterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints
AT emansaabujarad criterionforsubfamiliesofmultivalentfunctionsofreciprocalorderwithrespecttosymmetricpoints