Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials

The primary aim of this paper is to investigate the asymptotic distribution of the zeros of certain classes of hypergeometric F-q+1(q) polynomials. We employ classical analytical techniques, including Watson'slemma and the method of steepest descent, to understandthe asymptotic behavior of these polynomials:F-q+1(q)(-n,kn+alpha,& mldr;,kn+alpha+(q-1)/(q);kn+beta,& mldr;,kn+beta+(q-1)/(q);z)(n ->infinity), where n is a nonnegative integer, q is a positive integerand the constant parameters alpha and beta are constrained by alpha更多