No abstract

LetN be the class of functions that convex in one direction and M denote the class of functions zf′(z), where f∈N. In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of H3,1(f) obtained in the paper are improved.

In this paper, a new subclass has been defined as Ω of the univalent function in D={z∈C:|z|<1}. The central goal of this paper is to determine estimates for logarithmic coefficients, inverse logarithmic coefficients, some cases of the Hankel determinant and Zalcman functionals Jn,m of inverse functions.

The objective of this paper is to study the relative homological properties of contravariantly and covariantly finite subcategories. Some sufficient conditions for E x t ¯ Y n A , B ≃ E x t ¯ X n A , B are obtained. We also give the conditions under which the stable categories C / W / X / W are one-side triangulated categories.

In this paper, we study an element which is both group invertible and Moore-Penrose invertible to be partial isometry by discussing the existence of solutions in a definite set of some given constructive equations.