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.
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Format: | Article |
Language: | English |
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MDPI AG
2019-06-01
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Series: | Fractal and Fractional |
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Online Access: | https://www.mdpi.com/2504-3110/3/2/35 |
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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 |
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