Geodesic
Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials
Filomat, Tome 37 (2023) no. 4, p. 1037

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DOI

In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holo-morphic and bi-univalent functions which involve a linear combination between Bazilevič functions and β-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szegő problem in this new family.
DOI : 10.2298/FIL2304037W
Classification : 30C45, 30C50
Keywords: Bi-Univalent function, (M, N)-Lucas Polynomials, Coefficient bounds, Fekete-Szegő problem, Subordination 
Abbas Kareem Wanas; Grigore Ştefan Sălăgean; Ágnes Orsolya Páll-Szabó. Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials. Filomat, Tome 37 (2023) no. 4, p. 1037 . doi: 10.2298/FIL2304037W
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     author = {Abbas Kareem Wanas and Grigore \c{S}tefan S\u{a}l\u{a}gean and \'Agnes Orsolya P\'all-Szab\'o},
     title = {Coefficient bounds and {Fekete-Szeg\H{o}} inequality for a certain family of holomorphic and bi-univalent functions defined by {(M,N)-Lucas} polynomials},
     journal = {Filomat},
     pages = {1037 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304037W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304037W/}
}
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