J un 1 99 4 Some New Asymptotic Properties for the Zeros of Jacobi
نویسندگان
چکیده
For the generalized Jacobi, Laguerre and Hermite polynomials P (αn,βn) n (x), L (αn) n (x), H (γn) n (x) the limit distributions of the zeros are found, when the sequences αn or βn tend to infinity with a larger order than n. The derivation uses special properties of the sequences in the corresponding recurrence formulae. The results are used to give second order approximations for the largest and smallest zero which improve (and generalize) the limit statements in a paper of Moak, Saff and Varga [11].
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