In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.

in this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. we give some sufficient conditions for functions belonging to this class.

Covariance functions and variograms play a fundamental role in exploratory analysis and statistical modelling of spatial and spatio-temporal datasets. In this paper, we construct a new class of spatial covariance functions using the Fourier transform of some higher-order kernels. Moreover, we extend this class of spatial covariance functions to the spatio-temporal setting using the idea used in...

introduction: cardiovascular abnormalities have been reported in liver cirrhosis (lc). in these patients, cardiac symptoms and physical signs occur as the liver functions worsen. cirrhosis is associated with hyper dynamic circulation and beta-adrenergic system changes responsible for the cardiovascular abnormalities. the purpose of the present study was to explore the echocardiographic findings...

our aim in this paper is to prove an analog of younis's theorem on the image under the jacobi transform of a class functions satisfying a generalized dini-lipschitz condition in the space $mathrm{l}_{(alpha,beta)}^{p}(mathbb{r}^{+})$, $(1< pleq 2)$. it is a version of titchmarsh's theorem on the description of the image under the fourier transform of a class of functions satisfying the dini-lip...

What makes a problem hard to compute, and how does one categorize problems that accurately captures this notion of hardness? Computer science has traditionally approached this issue with two classification schemas: resource-bounded complexity classes (deterministic or nondeterministic time and space bound computations) and bounded reducibilities (≤m and ≤ T reductions). We show that neither of ...

Using C-class functions, we demonstrate a few popular common coupled fixed point theorems on Ab-metric spaces and discuss some implications of the main findings. Additionally, provide examples to illustrate findings their applications both homotopy theory integral equations.