A new property of a class of Koornwinder Laguerre polynomials.

A new property of a class of Koornwinder's Laguerre polynomials is established. In this context, new classes of stable polynomials and polynomial pairs with real negative and interlacing roots are introduced. As a result, the distribution of zeros of a class of Mittag-Leffler functions is proved and new multiplier sequences are introduced. [ABSTRACT FROM PUBLISHER]