Zero Distribution of Composite Polynomials and Polynomials Biorthogonal to Exponentials

摘要

We analyze polynomials P _n that are biorthogonal to exponentials {e-s_n,jx}_j=1n{e^{-sigma _{n,j}x}}_{j=1}^{n} , in the sense that ò₀¥P_n(x)e-s_n,jxxa dx=0, 1 £ j £ n.int_{0}^{infty }P_{n}(x)e^{-sigma _{n,j}x}x^{alpha },dx=0,quad 1leq jleq n.