Functions and Analysis

1408 Submissions

[3] viXra:1408.0132 [pdf] submitted on 2014-08-20 05:53:16

Foundation of a General Theory of Functions of a Variable Complex Magnitude

Authors: Bernhard Riemann
Comments: 38 Pages.

N/A (This is the LaTeXed version of Riemann's 1851 thesis, which laid the foundation of an aspect of complex analysis.--Typesetter)
Category: Functions and Analysis

[2] viXra:1408.0084 [pdf] replaced on 2017-01-22 10:37:37

Analytic Functions for Clifford Algebras

Authors: Hans Detlef Hüttenbach
Comments: 9 Pages. Major Review + 2 misspellings corrected.

Cauchy Theory is applied and extended to n-dimensional functions in Clifford algebras, showing the existence of integrals that do not exist in Euclidean spaces. It celebrates the depth of Cauchy's lecture, held on the 22nd of August, 1814, so 200 years ago, in times of bitter warfare. (I should like to recommend reading about his life, e.g. in Wikipedia.)
Category: Functions and Analysis

[1] viXra:1408.0081 [pdf] submitted on 2014-08-13 15:39:49

A Series Expansion for a Real Function

Authors: Alessio Mangoni
Comments: 4 Pages.

We show that a class C-infinite real function can be written as an n-summation of terms involving its derivative. For many functions, under certain conditions, this summation can become a particular series expansion.
Category: Functions and Analysis