$q$-analogue of a class of harmonic functions

Autor: Omendra Mishra, Saurabh Porwal
Jazyk: English<br />Portuguese
Rok vydání: 2022
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.52954
Popis: The purpose of the present paper is to introduce a new subclass of harmonic univalent functions associated with a $q$-Ruscheweyh derivative operator. A necessary and sufficient convolution condition for the functions to be in this class is obtained. Using this necessary and sufficient coefficient condition, results based on the extreme points, convexity and compactness for this class are also obtained.
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