The main object of this paper is to consider the asymptotic distribution of the zeros of certain classes of the Clausenian hypergeometric 3 F 2 functions and polynomials. Some classical analytic ...

Let f be a smooth function on the unit n-dimensional ball, with the C0-norm, equal to one. We prove that if for some k ⩾ 2, the norm of the kth derivative of f is bounded by 2-k - 1, then the set of ...