Functions and Analysis

2307 Submissions

[4] viXra:2307.0094 [pdf] submitted on 2023-07-17 05:17:12

The OPi Transform and Applications

Authors: Oussama Basta
Comments: 3 Pages. First draft

Abstract- The OPi Transform is a mathematical concept that utalizes the equation f(x) = ln|sec(1/(6x^2) + 1/(4x))| and its counterpart f(x) = ln|sin(1/(6x^2) + 1/(4x))|. In both cases, the equation f(x) equals zero (f(x) = 0) for certain values of n that can be represented as m + ik, where m + ik are known as OPi prime numbers. These prime numbers are complex numbers and exhibit unique divisibility properties, being divisible only by themselves, 1, and i. The OPi Transform serves as a generalization of the Laplace transform and is specifically designed to handle nonlinear functions. By exploring the properties and characteristics of OPi prime numbers and employing the OPi Transform, these mathematical concepts offer a deeper understanding of the equations and provide tools for analyzing and manipulating nonlinear functions with complex numbers.
Category: Functions and Analysis

[3] viXra:2307.0046 [pdf] submitted on 2023-07-09 03:19:41

New Improved Classes Converging Towards the Generalized Euler-Mascheroni Constant

Authors: YunJong Kang, HyonChol Kim, JinSong Kim, JinSong Yu
Comments: 5 Pages.

In this paper, we provide new quicker sequences convergent to the generalized Euler-Mascheroni constant, which is a generalization of the Euler-Mascheroni constant.
Category: Functions and Analysis

[2] viXra:2307.0045 [pdf] submitted on 2023-07-09 03:21:32

On New Type of Sequences Convergent to the Euler-Mascheroni Constant

Authors: ChungIl Kim, HyonChol Kim, JinSong Yu
Comments: 5 Pages.

In this paper, we present a new sequence that converges to the Euler constant. We use the Cramer’s rule to determine the best possible constants of this sequence.
Category: Functions and Analysis

[1] viXra:2307.0009 [pdf] submitted on 2023-07-03 16:48:49

Euler-Gamma Function

Authors: Edgar Valdebenito
Comments: 2 Pages.

The gamma function was first introduced by the Swiss mathematician Leonhard Euler (1707-1783) in his goal to generalize the factorial to non integer values.
Category: Functions and Analysis