Paweł J. Szabłowski

most citedOn affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures

12 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2014★ 1 cited

A few remarks on values of Hurwitz Zeta function at natural and rational arguments

Paweł J. Szabłowski

We exploit some properties of the Hurwitz zeta function $ζ (n, x)$ in order to study sums of the form $\frac{1}{π ^{n}} \sum_{j = - \infty}^{\infty} 1/ (j k + l)^{n}$ and $\frac{1}{π^{n}}\sum_…

math.PR2014★ 1 cited

On moments of Cantor and related distributions

Paweł J. Szabłowski

We provide several simple recursive formulae for the moment sequence of infinite Bernoulli convolution. We relate moments of one infinite Bernoulli convolution with others having d…

math.CA2012★ 12 cited

On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures

Paweł J. Szabłowski

We consider two positive, normalized measures dA(x) and dB(x) related by the relationship dA(x)=(C/(x+D))dB(x) or by dA(x) = (C/(x^2+E))dB(x) and dB(x) is symmetric. We show that t…