{"title":"基于基本超几何函数的与q导数相关的调和一元函数","authors":"S. Najafzadeh, Z. Dehdast, M. Foroutan","doi":"10.30495/JME.V0I0.1283","DOIUrl":null,"url":null,"abstract":"We study a family of harmonic univalent functions using an operator involving q-derivative and hypergeometric function. Pre- cisely we obtain a necessary and sucient condition for functions in this family. Extreme points and convexity of such functions are also introduced.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Harmonic univalent functions related to q-derivative based on basic hypergeometric function\",\"authors\":\"S. Najafzadeh, Z. Dehdast, M. Foroutan\",\"doi\":\"10.30495/JME.V0I0.1283\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a family of harmonic univalent functions using an operator involving q-derivative and hypergeometric function. Pre- cisely we obtain a necessary and sucient condition for functions in this family. Extreme points and convexity of such functions are also introduced.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1283\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1283","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Harmonic univalent functions related to q-derivative based on basic hypergeometric function
We study a family of harmonic univalent functions using an operator involving q-derivative and hypergeometric function. Pre- cisely we obtain a necessary and sucient condition for functions in this family. Extreme points and convexity of such functions are also introduced.
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