Convolution Properties of q-Janowski-Type Functions Associated with (x,y)-Symmetrical Functions

Autor:	Fuad Alsarari, Samirah Alzahrani
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	analytic functions Hadamard product (x y)-symmetrical functions q-calculus (ρ q)-neighborhood Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 7, p 1406 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14071406
Popis:	The purpose of this paper is to define new classes of analytic functions by amalgamating the concepts of q-calculus, Janowski type functions and (x,y)-symmetrical functions. We use the technique of convolution and quantum calculus to investigate the convolution conditions which will be used as a supporting result for further investigation in our work, we deduce the sufficient conditions, Po´lya-Schoenberg theorem and the application. Finally motivated by definition of the neighborhood, we give analogous definition of neighborhood for the classes S˜qx,y(α,β) and K˜qx,y(α,β), and then investigate the related neighborhood results, which are also pointed out.
Databáze:	Directory of Open Access Journals
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