We prove: (i) Let Fn(x) = Pn(x) [ eâˆ’ ( 1 + 1 x )x] and Gn(x) = Pn(x) [( 1 + 1 x )x+1 âˆ’ e ] , where Pn(x) = xn + âˆ‘nâˆ’1 Î½=0 cÎ½x Î½ is a polynomial of degree n â‰¥ 1 with real coefficients. Fn is completelyâ€¦ (More)

In this paper we characterize the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given in terms of theâ€¦ (More)

We consider two indeterminate moment problems: One corresponding to a birth and death process with quartic rates and the other corresponding to the Al-Salam-Carlitz q-polynomials. Using the Darbouxâ€¦ (More)

We consider well-known families of discrete solutions to indeterminate moment problems and show how they can be used in a simple way to generate absolutely continuous solutions to the same momentâ€¦ (More)

Bog ecosystems fulfil important functions in Earth's carbon and water turnover. While plant communities and their keystone species Sphagnum have been well studied, less is known about the microbialâ€¦ (More)

Sphagnum plants grow in natural, species-poor carpets at low pH but without any known substantial fungal disease. To investigate this phenomenon, we analysed bacterial populations associated with twoâ€¦ (More)

This paper is mainly a survey of published results. We recall the definition of positive definite and (conditionally) negative definite functions on abelian semigroups with involution, and weâ€¦ (More)

We consider some indeterminate moment problems which all have a discrete solution concentrated on geometric progressions of the form cq ; k âˆˆZ or Â± cq ; k âˆˆZ. It turns out to be possible that such aâ€¦ (More)