TY - JOUR
T1 - A two-parameter family of orthogonal polynomials with respect to a Jacobi-type weight on the unit circle
AU - Glader, Christer
PY - 1999/12/15
Y1 - 1999/12/15
N2 - A two-parameter family of polynomials is introduced by a recursion formula. The polynomials are orthogonal on the unit circle with respect to the weight ωα,β(θ)=(1-z)α(1+z) β2, α,β-12, z=eiθ. Explicit representation, norm estimates, shift identities, and explicit connection to Jacobi polynomials on the real interval [-1,1] is presented.
AB - A two-parameter family of polynomials is introduced by a recursion formula. The polynomials are orthogonal on the unit circle with respect to the weight ωα,β(θ)=(1-z)α(1+z) β2, α,β-12, z=eiθ. Explicit representation, norm estimates, shift identities, and explicit connection to Jacobi polynomials on the real interval [-1,1] is presented.
UR - http://www.scopus.com/inward/record.url?scp=0013004235&partnerID=8YFLogxK
U2 - 10.1006/jmaa.1999.6621
DO - 10.1006/jmaa.1999.6621
M3 - Article
AN - SCOPUS:0013004235
SN - 0022-247X
VL - 240
SP - 583
EP - 599
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -