Some subordination involving polynomials induced by lower triangular matrices

Advances in Difference Equations

Thabet Abdeljawad¹  Saiful R. Mondal²  Kottakkaran Sooppy Nisar³ 

[1] Department of Mathematics and General Sciences, Prince Sultan University, 66833, Riyadh, Saudi Arabia;Department of Medical Research, China Medical University, 40402, Taichung, Taiwan;Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan;Department of Mathematics and Statistics, College of Science, King Faisal University, 31982, Al Ahsa, Saudi Arabia;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, 11991, Wadi Aldawasir, Saudi Arabia;

关键词: Polynomials;    Admissible matrix;    Stable functions;    Cesàro means;    Cesàro stable functions;    30C45;    40G05;   

DOI  :  10.1186/s13662-020-03002-3

来源: Springer

【 摘 要 】

The article considers several polynomials induced by admissible lower triangular matrices and studies their subordination properties. The concept generalizes the notion of stable functions in the unit disk. Several illustrative examples, including those related to the Cesàro mean, are discussed, and connections are made with earlier works.

【 授权许可】

CC BY