Narrow Results

This paper reviews some recent progress on adaptive signal decomposition into mono-components that are defined to be the signals of non-negative analytic phase derivatives.

By making use of the principle of subordination and Dziok–Srivastava operator, we introduce a certain subclass of p-valent non-Bazilevic analytic functions. Such results as subordination and superordination properties, convolution properties, distortion theorems and inequality properties, are proved.

In this paper, we define the $q$th Vandermonde determinant and determine the coefficient bounds for the second- and third-order Vandermonde determinant for a Sakaguchi type function ${{𝒮}}^{\ast }({𝕃}_s)$ and ${𝒞}({𝕃}_s)$ which map open unit disc onto the region bounded by Limaçon

We consider the class of $\lambda$-pseudo starlike functions $f(z)=z+a_2{z}^2+a_3{z}^3+\cdots$ such that $z{(f^{\prime }(z))}^{\lambda }/f(z)$ maps the open unit disk $\left|z\right|<1$ onto a strip domain $w$ with $\frac{\alpha -\pi }{2sin\alpha }<\Re (w(z))<\frac{\alpha }{2sin\alpha }$ for some $\alpha$, $\pi /2\le \alpha <\pi$. We estimate $\left|a_2\right|$, $\left|a_3\right|$ and solve the Fekete–Szegö problem for functions in this class.