ON A CLASS OF ANALYTICAL FUNCTIONS CONSTRUCTED WITH THE POISSON DISTRIBUTION AND LAMBERT SERIES
Abstract
This paper presents a novel subclass of analytical functions, denoted as , which is constructed by using a linear operator that integrates the Mittag-Leffler function with Lambert series. We establish sufficient membership conditions, derive distortion theorems, identify extreme points, and determine coefficient bounds. Wherever applicable, we extend results using Robin’s inequalities for upper bounds on Lambert series coefficients.
Fields of Study & Subjects
Analytic and geometric function theory
Approximation Theory and Sequence Spaces
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Far East Journal of Mathematical Sciences (FJMS)
- Volume
- 143
- Issue
- 3
- Pages
- 839–847
- Publication date
- 6 February 2026