Axioms, Volume 2, Issue 1

Wavelets are explored as a data smoothing (or de-noising) option for solution monitoring data in nuclear safeguards. In wavelet-smoothed data, the Gibbs phenomenon can obscure important data features that may be of interest. This paper compares wavel...

In this paper, we give a pedagogical introduction to several beautiful formulas discovered by Ramanujan. Using these results, we evaluate a Ramanujan-type integral formula. The result can be expressed in terms of the Golden Ratio.

Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Raman...

In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive s...

Let K be a finite extension of $\mathbb{Q}$ and let S = {ν} denote the collection of K normalized absolute values on K. Let $V_K^{+}$ denote the additive group of adeles over K and let $c:V_K^{+}\to {ℝ}_{\ge 0}$ denote the content map defined as $\text{c}(\{{\text{a}}_{}$...