Axioms, Volume 10, Issue 2

This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations $f{(z+c)}^2+2\alpha f\left(z\right)f(z+c)+f{\left(z\right)}^2=e^{g\left(z\right)},$ and the partial differential difference equations $f{(z+c)}^2+2\alpha f(z+c)\frac{\partial f\left(z\right)}{\partial z_1}+{\left(\frac{\partial f\left(z\right)}{\partial z_1}\right)}^2=e^{g\left(z\right)},$$f{(z+c)}^2+$...

The main purpose of this article is to improve, generalize and complement some recently established results for Perov’s type F-contractions. In our approach, we use only the property (F1) of Wardowski while other authors employed all three conditions...

Some decision-making problems, i.e., multi-criteria decision analysis (MCDA) problems, require taking into account the attitudes of a large number of decision-makers and/or respondents. Therefore, an approach to the transformation of crisp ratings, c...

We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. We solve them to give the explicit formulas. Additionally, we use the moments of Ramanujan’s generalized elliptic integrals to obtain these recurren...

We considered the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution $\frac{e^{-\beta H}}{\mathcal{Z}}$. It is popularly thought that it cannot be built up because the integral involved in constructing Z diverges at the ori...

Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid mutation and recombination. Coronaviruses are known to cause respiratory or intestinal infections in humans and animals. In this paper, a biologically compatible...

The main objective of the present study is to analyze the nature and capture the corresponding consequences of the solution obtained for the Gardner–Ostrovsky equation with the help of the $q$-homotopy analysis transform technique ($q$-HATT). In the rota...

This paper focuses on the pricing problem of a two-stage closed-loop supply chain (CLSC) considering the cross-channel recycling and channel preference based on a single manufacturer and a single traditional retailer. The pricing decision problem rai...

It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model d...

In this paper, we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This yields an...