Monotonicity of Zeros of Orthogonal Laurent Polynomials
نویسنده
چکیده
Monotonicity of zeros of orthogonal Laurent polynomials associated with a strong distribution with respect to a parameter is discussed. A natural analog of a classical result of A. Markov is proved. Recent results of Ismail and Muldoon based on the Hellman-Feynman theorem are also extended to a monotonicity criterion for zeros of Laurent polynomials. Results concerning the behaviour of extreme zeros of orthogonal Laurent polynomials are proved. The monotonicity of the zeros of Laguerre-Laurent and JacobiLaurent polynomials are investigated.
منابع مشابه
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