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Technical, Science and Applied SciencesKyrgyz-Turkish Manas University Institutional Collection

A study of the Fekete-Szego functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials

Muhammet KAMALİ | Anarkül URDALETOVA

In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by F-(beta,gamma())(alpha, delta, mu, H(z, C-n((lambda)) (t) )), satisfying the following subordination condition and associated with the Gegenbauer (or ultraspherical) polynomials C-n((lambda))(t) of order lambda and degree n in t: alpha (zG' (z)/G (z))(delta) + (1 - alpha) (alpha(zG' (z)/G (z))(mu) (1 + alpha(zG' (z)/G' (z))delta)(1-mu) < H(z, C-n((lambda)) (t) ), where H(z,C-n(()lambda) (t) ) = Sigma(infinity)(n=0) C-n(()lambda) (t) zn = (1 - 2tz + z(2))(-lambda), G(z) = gamma beta z(2) f" (z) + ( ...More

Article 2022 Fen Fakültesi AIMS Mathematics7 ( 2 ) 78 Views

A certain subclass of bi-univalent functions associated with Bell numbers and q-Srivastava Attiya operator

Muhammet KAMALİ

In the present study, we introduced general a subclass of bi-univalent functions by using the Bell numbers and q-Srivastava Attiya operator. Also, we investigate coefficient estimates and famous Fekete-Szego inequality for functions belonging to this interesting class.

Article 2020 Fen Fakültesi AIMS Mathematics5 ( 6 ) 85 Views

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