Classes of Analytic Functions Defined by Salagean Derivative Operator Associated with Neutrosophic Generalized Poisson Distribution

Authors

• Soliu O. Opeyemi Okunola, Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, NigeriaFollow
• Olushola Adeyemo, Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, NigeriaFollow
• Sayo A. Abidemi Gbangbala, Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, NigeriaFollow
• Folorunso I. Isola Akinwale, Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, NigeriaFollow

Authors' ORCIDs

Soliu O. Okunola: https://orcid.org/0009-0007-7735-4965

Olushola Adeyemo: https://orcid.org/0000-0002-4940-3893

Sayo A. Gbangbala: https://orcid.org/0009-0004-4804-1917

Folorunso I. Akinwale: https://orcid.org/0000-0001-6070-6150

Article Type

Research Article

Abstract

This study introduces and analyses new subclasses of analytic functions by applying the Salagean derivative operator to the Neutrosophic Generalized Poisson Distribution (NGPD) series. We develop a model where the mean parameter is treated as an interval or set to account for indeterminacy in complex systems. By employing Stirling numbers of the second kind and decreasing factorials, we derive necessary and sufficient coefficient inequalities and inclusion relations for these new subclasses. Numerical results and graphical illustrations demonstrate the sensitivity of these functions to orientation and the neutrosophic parameter, providing a framework for applications in fields like medical imaging and network reliability where inherent fluctuations exist.

Keywords

Analytic functions, Salagean derivative operator, Neutrosophic Generalized Poisson Distribution, Stirling numbers of the second kind, Univalent functions

How to Cite

Okunola, Soliu O. Opeyemi; Adeyemo, Olushola; Gbangbala, Sayo A. Abidemi; and Akinwale, Folorunso I. Isola (2026) "Classes of Analytic Functions Defined by Salagean Derivative Operator Associated with Neutrosophic Generalized Poisson Distribution," Neutrosophic Systems with Applications: Vol. 26: Iss. 5, Article 5. DOI: https://doi.org/10.63689/2993-7159.1335