A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator

In this study, by using Lucas polynomials, subordination and q -analogue of Noor integral operator, we will introduce an interesting new class Q q , μ ( τ , α ; x ) of bi-univalent functions. Also we will obtain ( P ,  Q )-Lucas polynomial coefficient estimates and Fekete–Szegö inequalities for this...

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Bibliographic Details
Published inAfrika mathematica Vol. 33; no. 3
Main Authors Akgül, Arzu, Sakar, F. Müge
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022
Springer Nature B.V
Subjects
Applications of Mathematics
History of Mathematical Sciences
Mathematical analysis
Mathematics
Mathematics and Statistics
Mathematics Education
Operators (mathematics)
Polynomials
30C45
Lucas polynomials
30C50
Bi-univalent functions
(
Coefficient bounds
,
analogue of Noor integral operator
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Summary:In this study, by using Lucas polynomials, subordination and q -analogue of Noor integral operator, we will introduce an interesting new class Q q , μ ( τ , α ; x ) of bi-univalent functions. Also we will obtain ( P ,  Q )-Lucas polynomial coefficient estimates and Fekete–Szegö inequalities for this new class.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-022-01016-6