Árpád Elbert

Some recent results on the zeros of Bessel functions and orthogonal polynomials

Several recent results are encountered on the zeros of Bessel functions and of the classical orthogonal polynomials, many of them are waiting for being published. Four problems are formulated as conjectures.

On the Square of the Zeros of Bessel Functions

Let

Upper bounds for the zeros of ultraspherical polynomials

j_{\nu k}

FURTHER RESULTS ON THE ZEROS OF BESSEL FUNCTIONS

denote the kth positive zero of the Bessel function

Inequalities and monotonicity properties for zeros of Hermite functions

J_\nu (x)

On the Convexity of the Zeros of Bessel Functions

of the first kind. We define the function

Monotonicity properties of the zeros of Bessel functions

j_{\nu \kappa }

An asymptotic relation for the zeros of Bessel functions

for all

Conjugacy of half-linear second-order differential equations

\kappa > 0

An approximation for the zeros of Bessel functions

in such a way that