Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points

In this article, by using the concept of the quantum (or <i>q</i>-) calculus and a general conic domain <inline-formula> <math display="inline"> <semantics> <msub> <mo>Ω</mo> <mrow> <mi>k</mi> <mo>,</mo> <mi&g...

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Main Authors:	Hari Mohan Srivastava, Nazar Khan, Maslina Darus, Shahid Khan, Qazi Zahoor Ahmad, Saqib Hussain
Format:	Article
Language:	English
Published:	MDPI AG 2020-05-01
Series:	Mathematics
Subjects:	analytic functions quantum (or <i>q</i>-) calculus conic domain <i>q</i>-derivative operator Hankel determinant Toeplitz matrices
Online Access:	https://www.mdpi.com/2227-7390/8/5/842

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record_format	Article
spelling	doaj-7677b315b344470996304fe93f5cfba62020-11-25T03:33:37ZengMDPI AGMathematics2227-73902020-05-01884284210.3390/math8050842Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical PointsHari Mohan Srivastava0Nazar Khan1Maslina Darus2Shahid Khan3Qazi Zahoor Ahmad4Saqib Hussain5Department of Mathematics and Statistics, University of Victoria, Victoria, BC 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, Bangi 43600, Selangor, MalaysiaDepartment of Mathematics, Riphah International University Islamabad, Islamabad 44000, PakistanDepartment of Mathematics Abbottabad University of Science and Technology, Abbottabad 22010, PakistanDepartment of Mathematics, Comsats University Islamabad, Abbottabad Campus, Abbottabad 22010, PakistanIn this article, by using the concept of the quantum (or <i>q</i>-) calculus and a general conic domain <inline-formula> <math display="inline"> <semantics> <msub> <mo>Ω</mo> <mrow> <mi>k</mi> <mo>,</mo> <mi>q</mi> </mrow> </msub> </semantics> </math> </inline-formula>, we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a <i>q</i>-Bernardi integral operator.https://www.mdpi.com/2227-7390/8/5/842analytic functionsquantum (or <i>q</i>-) calculusconic domain<i>q</i>-derivative operatorHankel determinantToeplitz matrices
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hari Mohan Srivastava Nazar Khan Maslina Darus Shahid Khan Qazi Zahoor Ahmad Saqib Hussain
spellingShingle	Hari Mohan Srivastava Nazar Khan Maslina Darus Shahid Khan Qazi Zahoor Ahmad Saqib Hussain Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points Mathematics analytic functions quantum (or <i>q</i>-) calculus conic domain <i>q</i>-derivative operator Hankel determinant Toeplitz matrices
author_facet	Hari Mohan Srivastava Nazar Khan Maslina Darus Shahid Khan Qazi Zahoor Ahmad Saqib Hussain
author_sort	Hari Mohan Srivastava
title	Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points
title_short	Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points
title_full	Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points
title_fullStr	Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points
title_full_unstemmed	Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points
title_sort	fekete-szegö type problems and their applications for a subclass of <i>q</i>-starlike functions with respect to symmetrical points
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-05-01
description	In this article, by using the concept of the quantum (or <i>q</i>-) calculus and a general conic domain <inline-formula> <math display="inline"> <semantics> <msub> <mo>Ω</mo> <mrow> <mi>k</mi> <mo>,</mo> <mi>q</mi> </mrow> </msub> </semantics> </math> </inline-formula>, we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a <i>q</i>-Bernardi integral operator.
topic	analytic functions quantum (or <i>q</i>-) calculus conic domain <i>q</i>-derivative operator Hankel determinant Toeplitz matrices
url	https://www.mdpi.com/2227-7390/8/5/842
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Fekete-Szegö Type Problems and Their Applications for a Subclass of <i>q</i>-Starlike Functions with Respect to Symmetrical Points

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