8 citations · 16 across the 7 of their papers we have counts for
9 papers
The trinomial transform triangle
László Németh
The trinomial transform of a sequence is a generalization of the well-known binomial transform, replacing binomial coefficients with trinomial coefficients. We examine Pascal-like…
On the binomial interpolated triangles
László Németh
The binomial interpolated transform of a sequence is a generalization of the well-known binomial transform. We examine a Pascal-like triangle, on which a binomial interpolated tran…
Hyperbolic Pascal simplex
László Németh
In this article we introduce a new geometric object called hyperbolic Pascal simplex. This new object is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic s…
The growing ratios of hyperbolic regular mosaics with bounded cells
László Németh
In 3- and 4-dimensional hyperbolic spaces there are four, respectively five, regular mosaics with bounded cells. A belt can be created around an arbitrary base vertex of a mosaic.…
Power sums in hyperbolic Pascal triangles
László Németh, László Szalay
In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to with . The method is…
Fibonacci words in hyperbolic Pascal triangles
László Németh
The hyperbolic Pascal triangle is a new mathematical construction, which is a geometrical generalization of Pascal's arithmetical triangle. In the pres…
Hyperbolic Pascal pyramid
László Németh
In this paper we introduce a new type of Pascal's pyramids. The new object is called hyperbolic Pascal pyramid since the mathematical background goes back to the regular cube mosai…
Trees on hyperbolic honeycombs
László Németh
In the hyperbolic plane there are infinite regular lattices. From a fix vertex of a lattice tree graphs can be constructed recursively to the next layers with edges of the lattice.…
Hyperbolic Pascal triangles
Hacene Belbachir, László Németh, László Szalay
In this paper, we introduce a new generalization of Pascal's triangle. The new object is called the hyperbolic Pascal triangle since the mathematical background goes back to regula…