Functions and Analysis

2210 Submissions

[3] viXra:2210.0108 [pdf] submitted on 2022-10-24 02:33:26

Theoretical Expansion of Two Operators in Series

Authors: Juan Elias Millas Vera
Comments: 6 Pages.

This paper is a clean and short approximation to the concept of the double serial operators in a theoretical way. It introduces with the help of combinatorics the full extension of theoretical formalism which is necessary to do double serial operators with the 6 basic mathematical tools.
Category: Functions and Analysis

[2] viXra:2210.0030 [pdf] replaced on 2022-11-22 15:30:00

Approximation by Power Series of Functions

Authors: Andrej Liptaj
Comments: 14 Pages.

Derivative-matching approximations are constructed as power series built from functions. The method assumes the knowledge of special values of the Bell polynomials of the second kind, for which we refer to the literature. The presented ideas may have applications in numerical mathematics.
Category: Functions and Analysis

[1] viXra:2210.0026 [pdf] replaced on 2025-09-06 23:01:14

Reduction Formulas of the Cosine of Integer Fractions of Pi

Authors: Richard J. Mathar
Comments: 20 Pages. Version 2 includes minimal polynomials for sines and tangents.

The power of some cosines of integer fractions pi/n of the half circle allow a reduction to lower powers of the same angle. These are tabulated in the format sum_{i=0}^[n/2] a_i^n cos^i(pi/n)=0; n=2,3,4,...Related expansions of Chebyshev Polynomials T_n(x) and factorizations of T_n(x)+1 are also given.
Category: Functions and Analysis