Abstract
In this paper, we construct the real representation matrix of canonical hyperbolic quaternion matrices and give some properties in detail. Then, by means of the real representation, we study linear equations, the inverse and the generalized inverse of the canonical hyperbolic quaternion matrix and get some interesting results.
Highlights
U z Let :z 1 and H U be the analytic functions in U and A the subclass of H U functions f having the power series expansion n 2 (1.1) normalized by f let’sS be the subclass ofA consisting univalent functions.The well-investigated subclasses of S are the class S* of starlike functions of order and the classC of convex functions of order
Our main purpose in this study is to find the upper bound for
The Fekete-Szegö problem has been investigated by many mathematicians for several subclasses of analytic functions [8, 11,12,13,14,15,16,17,18]
Summary
The well-investigated subclasses of S are the class S* of starlike functions of order and the class. In Koegh and Merkes [10], solved the Fekete-Szegö problem for the classes of starlike and convex functions for some real. The Fekete-Szegö problem has been investigated by many mathematicians for several subclasses of analytic functions [8, 11,12,13,14,15,16,17,18]. By Thomas given sharp estimates for the modulus of the initial three coefficients of g z the function when the function f belong to some subclass of the analytic and univalent functions. We will recall as the Fekete-Szegö type problem for the function f. These inequalities are sharp for each n 1, 2, 3,
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