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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.
Let a normalized analytic function be given on the open unit disk. In this paper, we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes, we aim to find the upper bounds of the modules of the Hankel determinants obtained from the coefficients of the functions belonging to some classes defined by subordination.
Keyword: analytic functions; coefficient estimates; convex function; hankel determinant; sine function; starlike functions; subordination
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.
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
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
In this paper, we introduce the subclass S-beta (alpha, lambda) of analytic functions and obtain coefficient inequality for functions belong to this class. Furthermore, we give sufficient conditions for starlikeness of reciprocal order of analytic functions. In the last part, we obtain the subordination results of a new subclass of analytic functions of reciprocal order, which are defined here by means of a Hadamard product of analytic functions. The results presented in this work improve or generalize the recent works of other authors and also give rise to several new results.
In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.
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.