This paper presents explicit formulas and algorithms to compute the eigenvalues and eigenvectors of order-one-quasiseparable matrices. Various recursive relations for characteristic polynomials of their principal submatrices are derived. The cost of evaluating the characteristic polynomial of an N × N matrix and its derivative is only O(N). This leads immediately to several versions of a fast q...

We obtain the Fekete-Szegö inequalities for the classes S S,Σ (*)(α, ϕ) and £ S,Σ(α, ϕ) of biunivalent functions denoted by subordination. The results presented in this paper improve the recent work of Crisan (2013).

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].

A Jacobi matrix with an → 1, bn → 0 and spectral measure ν(x)dx + dνsing(x) satisfies the Szegő condition if

The aim of this paper is to gives sharp bound of the Fekete Szegö coefficient functional for the Janowski α-Spirallike functions associated with the kth root transformation. Mathematics Subject Classification: Primary 30C45, Secondary 30C50