de Sitter–Gödel–de Sitter phase transition (dGd) is a possible geometrical in the very early universe. It induces fluctuations with possibly observable traces on matter and radiation fields. Here we present simulation based dGd to investigate perturbations which could be along standard inflationary cosmic microwave background distribution of large-scale structure. The power spectrum characteriz...

Predicting magic wavelengths accurately requires precise knowledge of electric-dipole matrix elements nearby atomic transitions. As a result, measurements allow us to test theoretical predictions for the that frequently can not be probed by any other methods. Here, we calculate and measure wavelength near $473$ nm $5s^2\,^1\!S_0 - 5s5p\,^3\!P_1$ intercombination transition ${}^{88}$Sr. Experime...

Abstract The paper contains the study of weighted $$L^{p_1}\times L^{p_2}\times \ldots \times L^{p_m}\rightarrow L^p$$ L p 1 × 2 … m → ...

Abstract This paper consists of three parts: First, letting $b_1(z)$ , $b_2(z)$ $p_1(z)$ and $p_2(z)$ be nonzero polynomials such that have the same degree $k\geq 1$ distinct leading coefficients $1$ $\alpha$ respectively, we solve entire solutions Tumura–Clunie type differential equation $f^{n}+P(z,\,f)=b_1(z)e^{p_1(z)}+b_2(z)e^{p_2(z)}$ where $n\geq 2$ is an integer, $P(z,\,f)$ a polynomial i...

In this paper, order estimates for the Kolmogorov widths of sets defined by restrictions on norm in Sobolev weighted space $$W^r_{p_1}$$ and $$L_{p_0}$$ are obtained.