In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family λ -pseudo bistarlike id="M2"> biconvex functions with respect to symmetrical points defined in open unit disk. We obtain estimates for initial coefficients solve Fekete–Szeg id="M3"> o ...

in this work, we obtain the fekete-szegö inequalities for the class $p_{sigma }left( lambda ,phi right) $ of bi-univalent functions. the results presented in this paper improve the recent work of prema and keerthi [11].

In this paper, we give an upper bound of Hankel determinant (H2(1)) for the classes M(?), ? C. Also, obtain a sharp estimate classical Fekete-Szeg? inequality. That is, will get H2(1) = c3 c22. Moreover, in class analytic functions on unit disc, assuming existence angular limit boundary point, estimations below modulus derivative have been obtained.

The aim of this study is to solve the Fekete-Szeg? problem and define upper bound for Hankel determinant H2(1) in a novel class K analytical functions unit disc. Moreover, analytic on disc, assuming existence an angular limit boundary point, estimations from below modulus derivative have been obtained.

In the current work, we use (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve linear combination between Bazilevic ?-pseudo-starlike function defined in unit disk D establish upper bounds for second third coefficients belongs this family. Also, discuss Fekete-Szeg? problem

For Jacobi matrices with an 1⁄4 1þ ð 1Þan g; bn 1⁄4 ð 1Þbn g; we study bound states and the Szeg + o condition. We provide a new proof of Nevai’s result that if g4 2 ; the Szeg + o condition holds, which works also if one replaces ð 1Þ by cos ðmnÞ: We show that if a 1⁄4 0; ba0; and go1 2 ; the Szeg + o condition fails. We also show that if g 1⁄4 1; a and b are small enough (b þ 8a2o 1 24 will d...

Abstract. In this paper, we consider perturbations to a sequence of moments associated with an orthogonality linear functional that is represented by a positive measure supported in [−1, 1]. In particular, given a perturbation to such a measure on the real line, we analyze the perturbation obtained on the corresponding measure on the unit circle, when both measures are related through the Szeg ́́...

In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].

Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support is e and whose discrete eigenvalues obey a 1/2-power condition. We show that a Szeg˝ o condition is equivalent to lim sup a 1 · · · a n cap(e) n > 0 (this includes prior results of Widom and Peherstorfer–Yuditskii). Using Remling's extension of the Denisov–Rakhmanov theorem and an analysis of Jos...