# Functions and Analysis

## 1503 Submissions

[3] **viXra:1503.0177 [pdf]**
*submitted on 2015-03-23 23:22:06*

### Quadratic Finite Difference Theory

**Authors:** Sidharth Ghoshal

**Comments:** 10 Pages.

We write a solution for solving all equations of the type
a(x)f(x+h) + b(x)f(x) + c(x)f(x)^2 = 0
And use this to create a variety of formula for infinite nested radicals

**Category:** Functions and Analysis

[2] **viXra:1503.0047 [pdf]**
*replaced on 2015-03-08 08:39:49*

### On the Integral Representations for Harmonic Number and Digamma Function

**Authors:** Edigles Guedes

**Comments:** 3 pages

In this paper, we demonstrate some integral representations for harmonic number
and digamma function.

**Category:** Functions and Analysis

[1] **viXra:1503.0032 [pdf]**
*submitted on 2015-03-04 20:15:34*

### New Integral Representation for Inverse Sine Function, the Rate of Catalan's Constant by Archimedes Constant and Other Functions

**Authors:** Edigles Guedes

**Comments:** 8 pages.

In present article, we developed infinite series representations for inverse sine function and other functions. Our main goal is to get the hypergeometric representation for Catalan constant and hyperbolic sine function; and new integral
representation for inverse sine function.

**Category:** Functions and Analysis