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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 4,298 0 View
Classical derivations of the Lorentz transformations is given using time dilation and length contraction in [LT]....
17 August 2023 847 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 4,850 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 3,275 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 4,188 13 View
In communication with Mehmet Cankaya, we consider the subject.There is known result of D. Gale and H. Nikaido, The Jacobian matrix and the global univalence of mappings,Mathematischen Annalen 159...
01 November 2015 8,951 5 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 8,217 25 View
We observed the following in communication with M. Albijanic. Suppose that f is continuous function on closed interval [a, b] and differentiable on open interval (a, b). Then f is strictly convex...
08 May 2015 3,991 6 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 4,186 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 9,469 2 View
For example consider the following question: 1.Let $\mathbb{B}^m$ be hyperbolic space and let $f: \mathbb{B}^m \rightarrow \mathbb{B}^m$ be harmonic $K$-qc map.Whether $f$ has critical points on...
19 April 2015 4,288 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 9,147 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 1,978 12 View
