>
Fa   |   Ar   |   En
   polynomials that have golden ratio zeros  
   
نویسنده maier jack ,he tian-xiao ,vanness kurt
منبع journal of advanced mathematical studies - 2014 - دوره : 7 - شماره : 1 - صفحه:151 -175
چکیده    When the golden ratio and its conjugate are zeros to a polynomial, two of the coefficients are functions of the fibonacci sequence in terms of the other coefficients, which characterize the polynomial completely. these functions are used to derive some fn, ln, and golden ratio identities. in many cases, this is generalized to the lucas sequences un and vn, with an associated quadratic root pair. horadam sequences are produced in the the series of linear and constant coefficients of the series of polynomials having ra and rb zeros when all of the other coefficients are equal.
کلیدواژه fibonacci sequence ,lucas sequence ,horadam sequence ,golden ratio
آدرس wesleyan university, department of mathematics, usa, wesleyan university, department of mathematics, usa
پست الکترونیکی kvanness@iwu.edu
 
     
   
Authors
  
 
 

Copyright 2023
Islamic World Science Citation Center
All Rights Reserved