Some Properties of a Class of Analytic Functions Involving a New Generalized Differential Operator

被引：13

作者：

Amourah, A. A. ^{[1
]}

Yousef, Feras ^{[2
]}

机构：

[1] Irbid Natl Univ, Dept Math, Fac Sci & Technol, Irbid, Jordan

[2] Univ Jordan, Dept Math, Fac Sci, Amman 11942, Jordan

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2020年 / 38卷 / 06期

关键词：

Analytic functions; Close-to-convex functions; Differential operator; Integral operator;

D O I：

10.5269/bspm.v38i6.40530

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce a new generalized differential operator D-mu,lambda,sigma(m) (alpha, beta) defined on the open unit disc U = {z is an element of C : vertical bar z vertical bar < 1}. A novel subclass Omega(m)*(delta, lambda, alpha, beta, b) by means of the operator D-mu,lambda,sigma(m) (alpha, beta) is also introduced. Coefficient estimates, growth and distortion theorems, closure theorems, and class preserving integral operators for functions in the class Omega(m)*(delta, lambda, alpha, beta, b) are discussed. Furthermore, sufficient conditions for close-to-convexity, starlikeness, and convexity for functions in the class Omega(m)*(delta, lambda, alpha, beta, b) are obtained.

引用

页码：33 / 42

页数：10