Open AccessBi-univalent Function Subfamilies Defined by q - Analogue of Bessel Functions Subordinate to (p, q) - Lucas Polynomials
Author(s) -
S. R. Swamy,
Alina Alb Lupaş
Publication year - 2022
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2022.21.15
Subject(s) - bessel function , connection (principal bundle) , mathematics , variety (cybernetics) , pure mathematics , bessel polynomials , function (biology) , algebra over a field , orthogonal polynomials , discrete mathematics , discrete orthogonal polynomials , mathematical analysis , macdonald polynomials , geometry , evolutionary biology , statistics , biology
In the theory of bi-univalent functions,variety of special polynomials and special functions have been used. Using the q - analogue of Bessel functions, two families of regular and bi-univalent functions subordinate to (p, q) - Lucas Polynomials are introduced in this paper. For elements in these defined families, we derive estimates for |a2|, |a3| and for δ a real number we consider Fekete-Szegö problem |a3 − δa22|. We also provide releventconnection to existing result and discuss few interesting observations of the results investigated.