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Department : Matematik Bölümü ✕Subject Headings : analytic and univale ... ✕
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Fekete-Szego Problem for a Subclass of Analytic Functions Associated with Chebyshev Polynomials

Muhammet KAMALİ

In this paper, we obtain initial coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for a certain subclass by means of Chebyshev polynomials expansions of analytic functions in D. Also, we solve Fekete-Szego problem for functions in this subclass.

Article 2022 Fen Fakültesi Boletim da Sociedade Paranaense de Matemática40 68 Views
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Fekete-Szego problem for a new subclass of analytic functions satisfying subordinate condition associated with Chebyshev polynomials

Muhammet KAMALİ

In this paper,we define a class of analytic functions F-(beta,lambda()) (H, alpha, delta, mu), satisfying the following subordinate condition associated with Chebyshev polynomials {alpha[zG' (z)/G (z)](delta) + (1 - alpha) [zG' (z)/G (z)](mu) [1 + zG '' (z)/G' (z)](1-mu)} < H (z, t), where G(z) = lambda beta z(2)f '' (z) + (lambda - beta) zf' (z) + (1 - lambda + beta) f (z) , 0

Article 2021 Fen Fakültesi Turkish Journal of Mathematics45 ( 3 ) 99 Views
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