Using $ (p, q) $-Lucas polynomials and bi-Bazilevic type functions of order $\rho +i\xi,$ we defined a new subclass biunivalent functions. We obtained coefficient inequalities for belonging to the subclass. In addition these results, upper bound Fekete-Szegö functional was obtained. Finally, some special values parameters, several corollaries were presented.

In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions complex order associated with Erdély–Kober-type integral operator in open unit disc find estimates initial coefficients these classes. Moreover, obtain Fekete-Szegő inequalities for Some significances our results are pointed out as corollaries.

The purpose of this article is to introduce a new subclass analytic and bi-univalent functions, in associated with sigmoid function investigate the upper bounds for |a2| |a3|, where a2, a3 are initial Taylor-Maclaurin coefficients. Further we obtain Fekete-Szego inequalities class sigma. We also give several illustrative examples functionclass which here.

In the present paper, we consider a subclass of starlike functions G3/2 defined by ratio analytic representations convex and functions. The main aim is to determine bounds Fekete–Szegö-type inequalities Hankel determinants for in this class. It proved that maxH3,1(f):f∈G3/2 equal 181. f∈G3/2 are sharp.

In this paper, by using the concept of symmetric q -difference operator, we introduce certain classes id="M4"> -starlike and id="M5"> -convex functions. Convolution results, coefficient estimates, Fekete–Szegö inequalities for analytic functions belonging to these are obtained.

A new approach to the computation of the poles of a stable autoregressive system from the reeection coeecients is proposed. Equivalently, we compute the zeros of Szeg} o polynomials from the associated Schur parameters. The numerical method utilizes an eecient algorithm for computing the (unimodular) zeros of a unitary Hessenberg matrix; this step can be regarded as the computation of the poles...

Basic properties of probability with Poisson distribution is used in obtaining the coefficient bound by subordination principle which fundamental purpose this work. A class analytic function $f:\xi \rightarrow \mathbb{C}$ unit disc $\xi :\{z\in\mathbb{C}:|z|<1\}$ established. Likewise known results Fekete-Szegö inequalities type and second Toeplitz determinant are obtained.

We give a rigorous account of an algorithm that provides sequentially consistent replicated data on top of the view synchronous group communication service previously specified by Fekete, Lynch and Shvartsman. The algorithm performs updates at all members of a majority view, but rotates the work of queries among the members to equalize the load. The algorithm is presented and verified using I/O...

Let p be a trigonometric polynomial, nonnegative on the unit circle T. We say that a measure σ on T belongs to the polynomial Szeg˝ o class, if dσ(e iθ) = σ ′ ac (e iθ) dθ + dσ s (e iθ), σ s is singular, and 2π 0 p(e iθ) log σ ′ ac (e iθ) dθ > −∞ For the associated orthogonal polynomials {ϕ n }, we obtain pointwise asymp-totics inside the unit disc D. Then we show that this asymptotics holds in...