On the Properties of Hybrid Δh Legendre-Laguerre Polynomials and Their Applications
Abstract
This study delves into the formulation and analysis of a novel class of polynomials, the ∆ h Legendre-Laguerre polynomials, denoted as S L[h] ϕ (u, v, w).Through a rigorous investigation, explicit expressions and fundamental properties of these polynomials are derived.Additionally, the study establishes significant interrelations between the ∆ h Legendre-Laguerre polynomials and other well-known polynomial families, thereby enhancing their relevance across diverse mathematical and scientific fields.Furthermore, the monomiality principle and symmetric identities associated with these hybrid special polynomials are systematically explored.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Advanced Differential Geometry Research
Mathematical functions and polynomials
Publication details
- Journal / source
- Azerbaijan Journal of Mathematics
- Publisher
- Azerbaijani National Academy of Sciences
- Issue
- 01
- Pages
- 181–181
- Publication date
- 1 January 2026