Author(s):
1. Anosha Manzoor:
Rawalpindi Women University,Rawalpindi, Pakistan.
2. Saima Mustafa:
Rawalpindi Women University,Rawalpindi, Pakistan.
Abstract:
This thesis investigates the interplay between discrete probability distributions and specific sub classes of analytic functions within the open unit disk. Motivated by the growing applications of distribution series and generating functions in geometric function theory, we focus on extending classical and neutrosophic forms of discrete distributions, particularly the Pascal (negative binomial) distribution, to characterize analytic function classes through their coefficient conditions and moment inequalities. Using symbolic expansions and distribution-based operators, we derive new sufficient conditions for functionsto belong to subclasses such as (n). This study provides sharp in equalities involving distribution parameters, trigonometric coefficients, and functional moments, there by refining existing results and revealing deeper structural connections between probability models and analytic univalent or bi-univalent function classes. Our analysis demonstrates that discrete probabilistic models serve not only as tools for generating new sub classes but also as frameworks for deriving coefficient estimates and growth theorems in complex analysis.
Page(s):
162-162
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
Analytics
,
starlike
,
discrete probability
,
distribution pascal
,
neutrosophics
References:
References are not available for this document.
Citations
Citations are not available for this document.