Work

Mapping Properties of Associate Laguerre Polynomial in Symmetric Domains

Year: 2024

Type: article

Abstract: The significant characteristics of Associate Laguerre polynomials (ALPs) have noteworthy applications in the fields of complex analysis and mathematical physics. The present article mainly focuses on the inclusion relationships of ALPs and various analytic domains. Starting with the investigation of admissibility conditions of the analytic functions belonging to these domains, we obtained the conditions on the parameters of ALPs under which an ALP maps an open unit disc inside such analytical domains. The graphical demonstration enhances the outcomes and also proves the validity of our obtained results.

Source: Symmetry

DOI: 10.3390/sym16111545

Authors: Sa’ud Al-Sa’di, Ayesha Siddiqa, Bushra Kanwal, Mohammed Ali Alamri, Saqib Hussain, Saima Noor

Institutions: Hashemite University, Fatima Jinnah Women University, Dhofar University, COMSATS University Islamabad, King Faisal University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4404481808

FWCI: 0.671

Cites: 17

Cited by: 1

Related to: 10