Functions and Analysis

1502 Submissions

[5] viXra:1502.0210 [pdf] submitted on 2015-02-22 15:39:24

Some Amazing Infinite Series for the Multiplication Between Sine, Hyperbolic Sine and Exponential Functions

Authors: Edigles Guedes
Comments: 2 pages.

I prove the expansion in infinite seiries for the multiplication between sine, hyperbolic sine and exponential functions, that do not exist in the mathematical literature.
Category: Functions and Analysis

[4] viXra:1502.0202 [pdf] submitted on 2015-02-22 10:45:18

Acceleration of the Infinite Series for the Hyperbolic Sine, Hyperbolic Cosine, Struve and Bessel Function of the First Kind

Authors: Edigles Guedes
Comments: 3 pages.

I prove some accelerations of the infinite series for the hyperbolic sine, hyperbolic cosine, Struve and Bessel function of the first kind.
Category: Functions and Analysis

[3] viXra:1502.0201 [pdf] submitted on 2015-02-22 11:09:50

Acceleration of the Infinite Series for the Sine and Cosine Functions

Authors: Edigles Guedes
Comments: 3 pages.

I proved some accelerations of the infinite series for the sine and cosine functions.
Category: Functions and Analysis

[2] viXra:1502.0152 [pdf] submitted on 2015-02-17 23:04:56

Advanced Difference Equation Theory

Authors: Sidharth Ghoshal
Comments: 8 Pages.

This highlights some of my findings and derivation in the theory of arbitrary step size finite differences. Most are fairly simple
Category: Functions and Analysis

[1] viXra:1502.0074 [pdf] replaced on 2015-02-14 07:41:19

General Method for Summing Divergent Series. Determination of Limits of Divergent Sequences and Functions in Singular Points

Authors: Sinisa Bubonja
Comments: 20 Pages. Serbian language, Title of paper in translation from Serbian to English changed, Corrected typos, Revised definitions and added example in section 4, results unchanged

In this work I am going to mention historical development of divergent series theory, and to give a number of different examples, as some of the methods for their summing. After that, I am going to introduce the general method, which I discovered, for summing divergent series, which we can also consider as a method for computing limits of divergent sequences and functions in divergent points, In this case, limits of sequences of their partials sums. Through the exercises, I am going to apply this method on given examples and prove its validity. Then I'm going to apply the method to compute the value of some divergent integrals.
Category: Functions and Analysis