Message Boards Message Boards

Finite Markov chains and orthogonal polynomials

Attachments:
POSTED BY: Manuel Mañas
3 Replies

Should the Jacobi--Piñeiro weighting look like this?

wJP[x_,a_,b_]:=x^a (1-x)^b

Hi; I'm Juan Díaz, coauthor of the paper. With the convention used; the factor (1-x)^b has been considered as part of the integral measure and, as a consequence, not included on the weight. Along the whole code, the weight functions and measures only appear in the definition of the steady states. In the Jacobi--Piñeiro one, it can be checked that such factor (1-x)^b is actually there.

POSTED BY: Juan Díaz

enter image description here -- you have earned Featured Contributor Badge enter image description here Your exceptional post has been selected for our editorial columns Staff Picks http://wolfr.am/StaffPicks and Publication Materials https://wolfr.am/PubMat and Your Profile is now distinguished by a Featured Contributor Badge and is displayed on the Featured Contributor Board. Thank you!

POSTED BY: Moderation Team
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract