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Questions related from Miodrag Mateljević
See the enclosed file. In https://en.wikipedia.org/wiki/Hypergeometric\_function we can find The hypergeometric function is a solution of Euler's hypergeometric differential equation $$...
26 July 2024 4,083 0 View
Classical derivations of the Lorentz transformations is given using time dilation and length contraction in [LT]....
17 August 2023 759 19 View
In particular, what is known for harmonic functions? The proof of standard Maximum Principle for Solutions of Elliptic Systems is based on Proposition 1: If $B$ is positive definite matrix...
06 March 2018 4,770 1 View
We outline a short derivation the formula for Lorentz transform. Please pay attention to Question 1 (below). I. By $O$ , $O'$ denote coordinate origin of $K$ and $K'$ Suppose that for $t=t'=0$,...
20 May 2017 3,184 3 View
See sci.physics.research and Chris Hillman disscusion at https://groups.google.com/forum/#!topic/sci.physics.research/_Syr8jAaaNw : Lorentz Group Action vs. Mobius Group Action on Celestial...
06 May 2017 4,060 13 View
See for example the paper arXiv:1001.1805v1 [math.CV] 12 Jan 2010,The Schwarz Lemma at theBoundary by Steven G. Krantz. In this paper the author explores versions of the Schwarz lemmaat a...
19 May 2015 8,128 25 View
Let $\mathbb{H}^n$ denote the half-space in$\mathbb{R}^n$. If $D$ is a domain in $\mathbb{R}^n$, by$QCH(D)$ we denote the set of Euclidean harmonic quasiconformalmappings of $D$ onto itself. In ...
25 April 2015 4,103 0 View
In communication between V. Zorich and the author, thequestion was asked to find examples of harmonic gradient mapping from the unit ball onto itself in 3-space. For example, if $u=x^2 +y^2 - 2...
23 April 2015 9,386 2 View
Description (Answer1). In particular, we consider Problem 1. Let $a>0$ and $c,d\in R$ be given constants and let $u$ be a real valued continuous on $I:=[0,a]$ (more generally bounded...
01 January 1970 9,048 2 View
The following inequality is known as Petrovic's inequality: Prop 1. Let $f : [0,\infty) \rightarrow \mathbb{R}$ be a convex function, and $(x_i)_{i=1}^n$, be a sequence of positive numbers....
01 January 1970 1,903 12 View
