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