TY - JOUR
T1 - Asymptotic Distribution of Zeros of Weighted Fibonacci Polynomials
AU - He, Matthew
AU - Ricci, Paolo E.
PY - 1996/1/1
Y1 - 1996/1/1
N2 - Exploiting the relation between the classical Fibonacci polynomials { F n (z)} and a certain weighted Faber polynomials { B n ( z,g )} associated with a domain E in complex plane and a weight function g ( z ), we define weighted Fibonacci polynomials in complex domain. Applying fundamental properties of weighted Faber polynomials, we extend basic properties of Fibonacci polynomials to complex plane. Using potential theoretic methods, we determine the asymptotic distribution of the zeros of the weighted Fibonacci polynomials.
AB - Exploiting the relation between the classical Fibonacci polynomials { F n (z)} and a certain weighted Faber polynomials { B n ( z,g )} associated with a domain E in complex plane and a weight function g ( z ), we define weighted Fibonacci polynomials in complex domain. Applying fundamental properties of weighted Faber polynomials, we extend basic properties of Fibonacci polynomials to complex plane. Using potential theoretic methods, we determine the asymptotic distribution of the zeros of the weighted Fibonacci polynomials.
UR - https://nsuworks.nova.edu/math_facarticles/188
U2 - 10.1080/17476939608814867
DO - 10.1080/17476939608814867
M3 - Article
SN - 0278-1077
VL - 28
SP - 375
EP - 384
JO - Complex Variables, Theory and Application: An International Journal
JF - Complex Variables, Theory and Application: An International Journal
IS - 4
ER -