Some subordination involving polynomials induced by lower triangular matrices

Saiful R. Mondal; Kottakkaran Sooppy Nisar; Thabet Abdeljawad

doi:10.1186/s13662-020-03002-3

Some subordination involving polynomials induced by lower triangular matrices

Saiful R. Mondal
, Kottakkaran Sooppy Nisar
, Thabet Abdeljawad

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Article number	538
Journal	Advances in Difference Equations
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-03002-3
State	Published - 1 Dec 2020

Keywords

Admissible matrix
Cesàro means
Cesàro stable functions
Polynomials
Stable functions

Access to Document

10.1186/s13662-020-03002-3

Cite this

@article{47d0ddf8393543b09f29fbf813a5f013,

title = "Some subordination involving polynomials induced by lower triangular matrices",

abstract = "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 Ces{\`a}ro mean, are discussed, and connections are made with earlier works.",

keywords = "Admissible matrix, Ces{\`a}ro means, Ces{\`a}ro stable functions, Polynomials, Stable functions",

author = "Mondal, \{Saiful R.\} and Nisar, \{Kottakkaran Sooppy\} and Thabet Abdeljawad",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2020",

month = dec,

day = "1",

doi = "10.1186/s13662-020-03002-3",

language = "English",

volume = "2020",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer Publishing Company",

number = "1",

}

TY - JOUR

T1 - Some subordination involving polynomials induced by lower triangular matrices

AU - Mondal, Saiful R.

AU - Nisar, Kottakkaran Sooppy

AU - Abdeljawad, Thabet

PY - 2020/12/1

Y1 - 2020/12/1

N2 - 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.

AB - 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.

KW - Admissible matrix

KW - Cesàro means

KW - Cesàro stable functions

KW - Polynomials

KW - Stable functions

UR - https://www.scopus.com/pages/publications/85091722738

U2 - 10.1186/s13662-020-03002-3

DO - 10.1186/s13662-020-03002-3

M3 - Article

AN - SCOPUS:85091722738

SN - 1687-1839

VL - 2020

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 538

ER -

Some subordination involving polynomials induced by lower triangular matrices

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this