Geodesic
Applications of (M,N)-Lucas polynomials for holomorphic and Bi-univalent functions
Filomat, Tome 34 (2020) no. 10, p. 3361

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DOI

In this article, we use the (M,N)-Lucas polynomials to define a new family HΣ(λ; x) of normalized holomorphic and bi-univalent functions and to establish the bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients. Further we investigate Fekete-Szegö inequality for functions in the family HΣ(λ; x) which we have introduced here.
DOI : 10.2298/FIL2010361W
Classification : 30C45, 30C50
Keywords: Holomorphic functions, Univalent functions, Bi-Univalent functions, (M, N)-Lucas polynomials, Upper bounds, Fekete- Szegö inequality, Subordination 
Abbas Kareem Wanas. Applications of (M,N)-Lucas polynomials for holomorphic and Bi-univalent functions. Filomat, Tome 34 (2020) no. 10, p. 3361 . doi: 10.2298/FIL2010361W
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     author = {Abbas Kareem Wanas},
     title = {Applications of {(M,N)-Lucas} polynomials for holomorphic and {Bi-univalent} functions},
     journal = {Filomat},
     pages = {3361 },
     year = {2020},
     volume = {34},
     number = {10},
     doi = {10.2298/FIL2010361W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010361W/}
}
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