‎making use of a linear operator‎, ‎which is defined here by means of‎ ‎the hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {t}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎the main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎we also derive‎ ‎many results for the hadamard roducts of functions belong...

In this review paper, we discuss the relation between recent advances in theory of partial differential equations and their applications to quantum field on curved spacetimes. particular, focus hyperbolic propagators role they play construction physically admissible states—the so-called Hadamard states—on globally We will notion a propagator how it can be constructed an explicit invariant fashi...

Abstract We prove monotonicity of a parabolic frequency on static and evolving manifolds without any curvature or other assumptions. These are analogs Almgren’s function. When the manifold is Euclidean space drift operator Ornstein–Uhlenbeck operator, this can been seen to imply Poon’s for ordinary heat equation. self-similarly by Ricci flow, we solutions For Gaussian soliton, gives directly mo...

In this paper we introduce a definition of approximate Pareto efficient solution as well necessary condition for such solutions in the multiobjective setting on Riemannian manifolds. We also propose an inexact proximal point method nonsmooth optimization context by using notion solution. The main convergence result ensures that each cluster (if any) any sequence generated is critical point. Fur...

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.

‎this paper presents two main results that the singular values of the hadamard product of normal matrices $a_i$ are weakly log-majorized by the singular values of the hadamard product of $|a_{i}|$ and the singular values of the sum of normal matrices $a_i$ are weakly log-majorized by the singular values of the sum of $|a_{i}|$‎. ‎some applications to these inequalities are also given‎. ‎in addi...

in this paper we will determine the multiple point manifolds of certain self-transverse immersions in euclidean spaces. following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to dold manifold $v^5$ or a boundary. we will show there is an immersion of $s^7times p^2$ in $mathbb{r}^{13...

ABSTRACT: In this paper, a complete construction of quaternary complex Hadamard matrices of order 2 n is obtained using the method of Sylvester construction and Williamson construction. Williamson construction has been generalized to obtain any kind of Hadamard matrices (Complex or Real Numbers). Non-equivalent family of Hadamard Matrices can be obtained using the Generalized Williamson constru...

Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...

A Z2Z4-linear Hadamard code of length α + 2β = 2 t is a binary Hadamard code which is the Gray map image of a Z2Z4-additive code with α binary coordinates and β quaternary coordinates. It is known that there are exactly b t−1 2 c and b t 2c nonequivalent Z2Z4-linear Hadamard codes of length 2t, with α = 0 and α 6= 0, respectively, for all t ≥ 3. In this paper, it is shown that each Z2Z4-linear ...