# Functions and Analysis

## 1807 Submissions

[4] **viXra:1807.0233 [pdf]**
*submitted on 2018-07-12 19:46:47*

### The Isotropic Constant Depends Only on the Dimension of the Domain

**Authors:** Johan Aspegren

**Comments:** 2 Pages.

In this preprint we will prove that the isotropic constant depends only on the dimension of the domain. Thus we prove a result that implies the sharp isotropic constant conjecture.

**Category:** Functions and Analysis

[3] **viXra:1807.0228 [pdf]**
*submitted on 2018-07-11 05:35:49*

### News Limit Formulas for Exponential of the Digamma Function, K-Power and Exponential Function

**Authors:** Edigles Guedes

**Comments:** 6 Pages.

We derive some identities for limit of the exponential for digamma function, k-power and exponential function, involving gamma functions and Pochhammer symbols.

**Category:** Functions and Analysis

[2] **viXra:1807.0227 [pdf]**
*submitted on 2018-07-11 05:38:23*

### News Limit Formulas for the Exponential of Pi 8, Involving Pochhammer Symbols and Secant Function

**Authors:** Edigles Guedes

**Comments:** 4 Pages.

I derive some news identities for limit of the exponential of Pi/8, involving Pochhammer symbols and secant function.

**Category:** Functions and Analysis

[1] **viXra:1807.0135 [pdf]**
*submitted on 2018-07-07 01:53:55*

### Dynamic Equations for 2nd-Order Curves

**Authors:** Viktor Strohm

**Comments:** 4 Pages.

The motion of a point along an ellipse under the action of a generalized force is investigated.
Result: differential equation of second-order curves with respect to the focus, differential equation of curves of the second order with respect to the center, general differential equation of second order curves. Several examples of the application of these equations are proposed.

**Category:** Functions and Analysis