We use a method based on the division algorithm to determine all the values of the real
parameters b and c for which the hypergeometric polynomials 2F1 (− n, b; c; z) have n real …

With any integer convex polytope P ⊂ R^ n P⊂ R n we associate a multivariate
hypergeometric polynomial whose set of exponents is Z^ n ∩ P. Z n∩ P. This polynomial is …

We analyze the asymptotic distribution of roots of Charlier polynomials with negative
parameter depending linearly on the index. The roots cluster on curves in the complex …

Two main topics of this paper are asymptotic distributions of zeros of Jacobi polynomials and
topology of critical trajectories of related quadratic differentials. First, we will discuss recent …

For a power series which converges in some neighborhood of the origin in the complex
plane, it turns out that the zeros of its partial sums---its sections---often behave in a …

We study the asymptotic distribution of roots of Lommel polynomials as polynomials of the
order with a variable and purely imaginary argument. The roots are complex and …

Задача нахождения нулей полиномов одного и нескольких переменных над
различными множествами аргументов и изучения их свойств является одной из …

Abstract McCarthy (Pac J Math 261 (1): 219–236, 2013) defined hypergeometric functions in
the p-adic setting over finite fields using p-adic gamma functions. These functions possess …

In this thesis, our primary interest lies in the investigation of the location of the zeros and the
asymptotic zero distribution of hypergeometric polynomials. The location of the zeros and …

With any integer convex polytope P⊂ Rn we associate a multivariate hypergeometric
polynomial whose set of exponents is Zn∩ P. This polynomial is defined uniquely up to a …