{"title":"由Touchard多项式生成的积分算子在调和函数子类中的应用","authors":"Khalifa Alshaqsi","doi":"10.54216/pamda.010102","DOIUrl":null,"url":null,"abstract":"Let SH denote the class of functions f = h + g which are harmonic univalent and sense-preserving in the unite disk U = {z : |z| < 1} where h(z) = z +P∞ k=2 akzk, g(z) =∞Pk=1 bkzk (|b1| < 1). In this paper we establish connections between various subclasses of harmonic univalent functions by applying certain integral operator involving the Touchard Polynomials.","PeriodicalId":165552,"journal":{"name":"Prospects for Applied Mathematics and Data Analysis","volume":"121 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions\",\"authors\":\"Khalifa Alshaqsi\",\"doi\":\"10.54216/pamda.010102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let SH denote the class of functions f = h + g which are harmonic univalent and sense-preserving in the unite disk U = {z : |z| < 1} where h(z) = z +P∞ k=2 akzk, g(z) =∞Pk=1 bkzk (|b1| < 1). In this paper we establish connections between various subclasses of harmonic univalent functions by applying certain integral operator involving the Touchard Polynomials.\",\"PeriodicalId\":165552,\"journal\":{\"name\":\"Prospects for Applied Mathematics and Data Analysis\",\"volume\":\"121 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Prospects for Applied Mathematics and Data Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54216/pamda.010102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Prospects for Applied Mathematics and Data Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54216/pamda.010102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
设SH表示在统一盘U = {z: |z| < 1}中调和一元保理函数f = h + g，其中h(z) = z +P∞k=2 akzk, g(z) =∞Pk=1 bkzk (|b1| < 1)。本文利用某些涉及Touchard多项式的积分算子建立了调和一元函数各子类之间的联系。
Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions
Let SH denote the class of functions f = h + g which are harmonic univalent and sense-preserving in the unite disk U = {z : |z| < 1} where h(z) = z +P∞ k=2 akzk, g(z) =∞Pk=1 bkzk (|b1| < 1). In this paper we establish connections between various subclasses of harmonic univalent functions by applying certain integral operator involving the Touchard Polynomials.
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