{"title":"A new class of harmonic functions associated with a (p,q)-Ruscheweyh operator","authors":"Omendra Mishra, P. Sharma","doi":"10.31926/but.mif.2021.1.63.2.8","DOIUrl":null,"url":null,"abstract":"With the use of post-quantum or (p; q)-calculus, in this paper we define a new class S0H (n; p; q; ) of certain harmonic functions f 2 S0H associated with a (p; q)-Ruscheweyh operator Rn p;q: or functions in this class, we obtain a necessary and sufficient convolution condition. A sufcient coeffcient inequality is given for functions f 2 S0H (n; p; q; ). It is proved that this coeffcient uality necessary for functions in its subclass TS0H (n; p; q; ): Certain properties such as convexity, compactness and results on bounds, extreme points are also derived for functions in the subclass H(n; p; q; ).","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2021.1.63.2.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
With the use of post-quantum or (p; q)-calculus, in this paper we define a new class S0H (n; p; q; ) of certain harmonic functions f 2 S0H associated with a (p; q)-Ruscheweyh operator Rn p;q: or functions in this class, we obtain a necessary and sufficient convolution condition. A sufcient coeffcient inequality is given for functions f 2 S0H (n; p; q; ). It is proved that this coeffcient uality necessary for functions in its subclass TS0H (n; p; q; ): Certain properties such as convexity, compactness and results on bounds, extreme points are also derived for functions in the subclass H(n; p; q; ).