# 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