5 citations · 10 across the 3 of their papers we have counts for
4 papers
Hyperfibonacci Sequences and Polytopic Numbers
Ligia Loretta Cristea, Ivica Martinjak, Igor Urbiha
We prove that the difference between the -th hyperfibonacci number of -th generation and its two consecutive predecessors is the -th regular -topic number. Using th…
A New Generalized Cassini Determinant
Ivica Martinjak, Igor Urbiha
In this paper we extend a notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find -matrix for the -th generation hyperfibonacci numbers and pro…
Verification and Strengthening of the Atiyah--Sutcliffe Conjectures for Several Types of Configurations
Dragutin Svrtan, Igor Urbiha
In 2001 Sir M. F. Atiyah formulated a conjecture C1 and later with P. Sutcliffe two stronger conjectures C2 and C3. These conjectures, inspired by physics (spin-statistics theorem…
Atiyah-Sutcliffe Conjectures for Almost Collinear Configurations and Some New Conjectures for Symmetric Functions
Dragutin Svrtan, Igor Urbiha
In 2001 Sir M. F. Atiyah formulated a conjecture (C1) and later with P. Sutcliffe two stronger conjectures (C2) and (C3). These conjectures, inspired by physics (spin-statistics th…