21 citations · 21 across the 3 of their papers we have counts for
3 papers
The Number of Zeros of Unilateral Polynomials over Coquaternions Revisited
M. Irene Falcão, Fernando Miranda, Ricardo Severino +1
The literature on quaternionic polynomials and, in particular, on methods for determining and classifying their zero-sets, is fast developing and reveals a growing interest on this…
Weierstrass method for quaternionic polynomial root-finding
M. Irene Falcão, Fernando Miranda, Ricardo Severino +1
Quaternions, introduced by Hamilton in 1843 as a generalization of complex numbers, have found, in more recent years, a wealth of applications in a number of different areas which…
On generalized Vietoris' number sequences - origins, properties and applications
I. Cação, M. I. Falcão, H. R. Malonek
Ruscheweyh and Salinas showed in 2004 the relationship of a celebrated theorem of Vietoris (1958) about the positivity of certain sine and cosine sums with the function theoretic c…