Mapping Properties of Associate Laguerre Polynomial in Symmetric Domains
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.
Authors
- Sa’ud Al-Sa’di (ORCID: https://orcid.org/0000-0003-3315-5407)
- Saqib Hussain (ORCID: https://orcid.org/0000-0002-8174-8795)
- Bushra Kanwal
- Saima Noor (ORCID: https://orcid.org/0000-0002-9038-1921)
- Ayesha Siddiqa (ORCID: https://orcid.org/0000-0002-2735-9588)
- Mohammed Ali Alamri
Institutions
- Hashemite University (JO)
- COMSATS University Islamabad (PK)
- Abbottabad University of Science and Technology (PK)
- Dhofar University (OM)
- King Faisal University (SA)
- Fatima Jinnah Women University (PK)
Publication Details
- Journal
- Symmetry
- Published
- 2024-11-18
- DOI
- https://doi.org/10.3390/sym16111545
- Citations
- 1
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 1.01