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Bulunan: 4 Adet 0.000 sn
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Bulunan: 4 Adet 0.000 sn
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Erişime Açık

Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

Muhammet KAMALİ

In this paper, we define a subclass of analytic functions by denote (Formula Presented) satisfying the following subordinate condition (Formula Presented) where (Formula Presented). We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.

Erişime Açık

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.

Erişime Açık

ON BOUNDS OF TOEPLITZ DETERMINANTS FOR A SUBCLASS OF ANALYTIC FUNCTIONS

Muhammet KAMALİ | Alina RISKULOVA

In the present article, our aim is to investigate the problem of obtaining upper bounds for T2(2), T2(3), T3(2) and T3(1), which are special cases of the symmetric Toeplitz determinant for functions belonging to the M(A, n) subclass. Keyword: convex function; hankel determinant; starlike function; toeplitz determinant; univalent function

Erişime Açık

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) + ( ...Daha fazlası

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