Sondekola Rudra Swamy, Alina Alb Lupas, "Bi-univalent Function Subfamilies Defined by q - Analogue of Bessel Functions Subordinate to (p, q) - Lucas Polynomials," WSEAS Transactions on Mathematics, vol. 21, pp. 98-106, 2022, DOI:10.37394/23206.2022.21.15
Sondekola Rudra Swamy, Alina Alb Lupas. Bi-univalent Function Subfamilies Defined by q - Analogue of Bessel Functions Subordinate to (p, q) - Lucas Polynomials.
WSEAS Transactions on Mathematics. 2022;21:98-106. 10.37394/23206.2022.21.15
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Bi-univalent Function Subfamilies Defined by q - Analogue of Bessel Functions Subordinate to (p, q) - Lucas Polynomials
Authors: ,
Abstract: 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 $$|a3 − δa^{2}_{2}| $$. We also provide relevent
connection to existing result and discuss few interesting observations of the results investigated.
Keywords:
Fekete-Szegö inequality, Bessel function, Bi-univalent functions, q - derivative operator, (p, q)-Lucas polynomials
Pages: 98-106 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #15 DOI: 10.37394/23206.2022.21.15
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