Studying the Harmonic Functions Associated with Quantum Calculus

Abdullah Alsoboh (), Ala Amourah (), Maslina Darus and Carla Amoi Rudder
Additional contact information
Abdullah Alsoboh: Department of Mathematics, Al-Leith University College, Umm Al-Qura University, Mecca 24382, Saudi Arabia
Ala Amourah: Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Carla Amoi Rudder: Faculty of Resilience, Rabdan Academy, Abu Dhabi P.O. Box 114646, United Arab Emirates

Mathematics, 2023, vol. 11, issue 10, 1-11

Abstract: Using the derivative operators’ q -analogs values, a wide variety of holomorphic function subclasses, q -starlike, and q -convex functions have been researched and examined. With the aid of fundamental ideas from the theory of q -calculus operators, we describe new q -operators of harmonic function H ϱ , χ ; q γ F ( ϖ ) in this work. We also define a new harmonic function subclass related to the Janowski and q -analog of Le Roy-type functions Mittag–Leffler functions. Several important properties are assigned to the new class, including necessary and sufficient conditions, the covering Theorem, extreme points, distortion bounds, convolution, and convex combinations. Furthermore, we emphasize several established remarks for confirming our primary findings presented in this study, as well as some applications of this study in the form of specific outcomes and corollaries.

Keywords: convolutions; q-Mittag–Leffler; Le Roy-type Mittag–Leffler; harmonic function; holomorphic functions; univalent function; q-calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/10/2220/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/10/2220/ (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:11:y:2023:i:10:p:2220-:d:1142258

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 ().