A Study of Some Families of Multivalent q -Starlike Functions Involving Higher-Order q -Derivatives

Bilal Khan, Zhi-Guo Liu, Hari M. Srivastava, Nazar Khan, Maslina Darus and Muhammad Tahir
Additional contact information
Bilal Khan: School of Mathematical Sciences, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China
Zhi-Guo Liu: School of Mathematical Sciences, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China
Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Nazar Khan: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Muhammad Tahir: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan

Mathematics, 2020, vol. 8, issue 9, 1-12

Abstract: In the present investigation, by using certain higher-order q -derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q -starlike functions in the open unit disk. For each of these newly-defined function classes, several interesting properties and characteristics are systematically derived. These properties and characteristics include (for example) distortion theorems and radius problems. A number of coefficient inequalities and a sufficient condition for functions belonging to the subclasses studied here are also discussed. Relevant connections of the various results presented in this investigation with those in earlier works on this subject are also pointed out.

Keywords: multivalent functions; q -difference (or q -derivative) operator; distortion theorems; radius problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/9/1470/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/9/1470/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:9:p:1470-:d:407067

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().