Timeline for Polynomials orthogonal w.r.t. the logarithmic weight
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 6, 2014 at 12:32 | comment | added | Twi | @PietroMajer Sure, you're right. I wanted to be brief and address the problem directly, however, I should mention that I known the moments of the measure in question and I am familiarized with the theory of the moment problem and orthogonal polynomials on the real line (as it is demonstrated, for instance, in the great Akhiezer's book: The Classical Moment Problem and Some Related Questions in Analysis). | |
| Oct 6, 2014 at 6:58 | comment | added | Pietro Majer | @Twi: not to criticize you, but recall that posting a question, one should kindly provide all relevant information to it. Otherwise, the effort of the people who answers may resolve in some waste of time, to find again facts that are already known to the questioner... | |
| Oct 6, 2014 at 6:40 | comment | added | Twi | The connection you mention between the Hankel matrix of moments $m_{n}$ with the family of orthogonal polynomials associated with the weight $-\chi_{(0,1)}\ln x$ is exactly the way I arrived at the polynomials whose properties I am asking to. However, I wasn't able to evaluate the Hankel determinants by myself. Thanks for the referrence on Gautschi's paper which I didn't know. | |
| Oct 5, 2014 at 20:06 | history | answered | Christian Remling | CC BY-SA 3.0 |