Interlacing of the zeros of Jacobi polynomials with different parameters Page 1 Numer Algor
(2008) 49:143–152 DOI 10.1007/s11075-008-9162-2 ORIGINAL PAPER Interlacing of the …

The primary aim of this paper is to investigate the asymptotic distribution of the zeros of
certain classes of hypergeometric q+ 1 F q polynomials. We employ classical analytical …

We study the interlacing property of zeros of Laguerre polynomials of adjacent degree,
where the free parameters differ by an integer, and of the same degree, where the free …

We investigate the zeros of polynomial solutions to the differential–difference equation
where An and Bn are polynomials of degree at most 2 and 1 respectively. We address the …

The main object of this paper is to consider the asymptotic distribution of the zeros of certain
classes of the Gauss hypergeometric polynomials. Some classical analytic methods and …

It is well-known that hypergeometric functions satisfy first order difference-differential
equations (DDEs) with rational coefficients, relating the first derivative of hypergeometric …

Abstract Let\displaystyle {p_n\} _ n= 0^ ∞ pn n= 0∞, where p_n pn is a polynomial of
degree n, be a sequence of polynomials orthogonal with respect to a positive probability …

We investigate the mutual location of the zeros of two families of orthogonal polynomials.
One of the families is orthogonal with respect to the measure d μ (x), supported on the …

The monotonicity properties of all the zeros with respect to a parameter of orthogonal
polynomials associated with an even weight function are studied. The results we obtain …

The main object of this paper is to consider the asymptotic distribution of the zeros of certain
classes of the Clausenian hypergeometric $\; _3F_2 $ functions and polynomials. Some …