9 citations · 18 across the 6 of their papers we have counts for
6 papers
Pauli Pascal Pyramids, Pauli Fibonacci Numbers, and Pauli Jacobsthal Numbers
Martin Erik Horn
The three anti-commutative two-dimensional Pauli Pascal triangles can be generalized into multi-dimensional Pauli Pascal hyperpyramids. Fibonacci and Jacobsthal numbers are then ge…
Quaternionen and Geometric Algebra (Quaternionen und Geometrische Algebra)
Martin Erik Horn
In the last one and a half centuries, the analysis of quaternions has not only led to further developments in mathematics but has also been and remains an important catalyst for th…
Bilateral binomial duplication formula
Martin Erik Horn
The bilateral binomial theorem with step width two gives a bilateral hypergeometric formula for 2H2(a, a+1/2; c, c+1/2; z).
The Bilateral Vandermonde Convolution
Martin Erik Horn
A new and easy way of deriving Gauss's Generalized Hypergeometric Theorem is presented by using the Bilateral Binomial Theorem.
Pascal Pyramids, Pascal Hyper-Pyramids and a Bilateral Multinomial Theorem
Martin Erik Horn
Part I: The two-dimensional Pascal Triangle will be generalized into a three-dimensional Pascal Pyramid and four-, five- or whatsoever-dimensional hyper-pyramids. Part II: The Bila…
Quaternions in University-Level Physics Considering Special Relativity
Martin Erik Horn
As an expansion of complex numbers, the quaternions show close relations to numerous physically fundamental concepts. In spite of that, the didactic potential provided by quaternio…