General Mathematics

2401 Submissions

[4] viXra:2401.0140 [pdf] submitted on 2024-01-30 02:06:52

On the Generalization of Glaisher—Kinkelin‘s Constant and Its Applications

Authors: SonHyang Ri, Il Yun, Chol Ho Ji, Hong Rok Ri
Comments: 17 Pages.

In this paper, we have found the exquisite relation between Stirling’s formula andinteresting expression for Glaisher—Kinkelin’s constant,Bendersky—Adamchik’sconstant, andhave introduced new constants astheir generalization.As we calculate the singular integral or sum of series in form of closed expression by introducingconstant π, Euler constant, Glaisher-Kinkelin’s constant,Bendersky—Adamchik’sconstant, new constantswill play important role in calculating of the sum of multi-series which has the multi-power in general term. To demonstrate the superiority of our new constants in several calculations, we propose an exampleWe show that our new constants generalize Glaisher—Kinkelin’s constant and Bendersky—Adamchik’s constant
Category: General Mathematics

[3] viXra:2401.0127 [pdf] replaced on 2024-08-28 00:25:35

Differenceless Derivatives with Equidistant Steps

Authors: Yuri Mahotin
Comments: 3 Pages.

Differenceless derivatives with equidistant steps have been developed, which makes it possible to calculate an unlimited number of derivatives. One application of this algorithm is the extrapolation and prediction of functions over a wide range of arguments, which can be used in various fields of science and technology.
Category: General Mathematics

[2] viXra:2401.0076 [pdf] submitted on 2024-01-16 18:26:18

Cool Formula for pi

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we consider the sum: 1-1/9+1/45-1/189+...
Category: General Mathematics

[1] viXra:2401.0074 [pdf] submitted on 2024-01-16 23:27:21

Mark Burgin's Contribution to the Foundation of Mathematics

Authors: Felix M. Lev
Comments: 16 Pages. Published in Special Issue in Memory of Professor Mark Burgin, Philosophies 2024, 9(1), 8; https://doi.org/10.3390/philosophies9010008

In this paper I attempt to describe those Mark Burgin's results in non-Diophantine mathematics which are important for foundation of mathematics and its applications in quantum field theory. In particular, the elimination of divergences in Quantum Electrodynamics is described.
Category: General Mathematics