The Zeros of Special Functions from a Fixed Point Method
SIAM Journal on Numerical Analysis
Quasi-orthogonality with applications to some families of classical orthogonal polynomials
Applied Numerical Mathematics
A contribution to quasi-orthogonal polynomials and associated polynomials
Applied Numerical Mathematics
The zeros of linear combinations of orthogonal polynomials
Journal of Approximation Theory
Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
Numerische Mathematik
Zeros of linear combinations of Laguerre polynomials from different sequences
Journal of Computational and Applied Mathematics
A note on the interlacing of zeros and orthogonality
Journal of Approximation Theory
Journal of Approximation Theory
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We prove that the zeros of polynomials of consecutive degree in the sequences {r"n}"n"="1^~ and {s"n}"n"="1^~ are interlacing for n@?N, n=1 wherer"n=p"n+a"nq"n,s"n=p"n+b"nq"n"-"1,a"n,b"n0,a"n,b"n@?R and {p"n}"n"="1^~ and {q"n}"n"="1^~ are different sequences of Laguerre (respectively Jacobi) polynomials.