Taylor-Maclaurin coefficients and the Fekete-Szego inequal- ities for certain subclasses of bi-univalent functions involv- ing the Gegenbauer polynomials
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS(2024)
Abstract
In this paper by using the idea of Gegenbauer polynomials, we introduced certain new subclasses of analytic and biunivalent functions. Additionally, we determined the estimates for first two Taylor-Maclaurin coefficients and the Fekete-Szego center dot functional problems for each of the function classes we defined. In the concluding part, we recall the curious readers attention to the possibility of analyzing the result's q-generalizations presented in this article. Moreover, according to the proposed extension, the (p, q) -extension will only be comparatively small and inconsequently change, as the additional parameter p is redundant.
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Key words
Analytic function,bi-univalent function,Gegenbauer polynomials,coefficient estimates,subordination,Fekete-Szegofunctional problems
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