Probability measures corresponding to Aval numbers
Colloquium Mathematicae (2012)
- Volume: 129, Issue: 2, page 189-202
- ISSN: 0010-1354
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topWojciech Młotkowski. "Probability measures corresponding to Aval numbers." Colloquium Mathematicae 129.2 (2012): 189-202. <http://eudml.org/doc/283822>.
@article{WojciechMłotkowski2012,
abstract = {We describe the class of probability measures whose moments are given in terms of the Aval numbers. They are expressed as the multiplicative free convolution of measures corresponding to the ballot numbers $(m-k)/(m+k) \binom\{m+k\}\{m\}$.},
author = {Wojciech Młotkowski},
journal = {Colloquium Mathematicae},
keywords = {Raney sequence; Fuss-Catalan numbers; multiplicative free convolution},
language = {eng},
number = {2},
pages = {189-202},
title = {Probability measures corresponding to Aval numbers},
url = {http://eudml.org/doc/283822},
volume = {129},
year = {2012},
}
TY - JOUR
AU - Wojciech Młotkowski
TI - Probability measures corresponding to Aval numbers
JO - Colloquium Mathematicae
PY - 2012
VL - 129
IS - 2
SP - 189
EP - 202
AB - We describe the class of probability measures whose moments are given in terms of the Aval numbers. They are expressed as the multiplicative free convolution of measures corresponding to the ballot numbers $(m-k)/(m+k) \binom{m+k}{m}$.
LA - eng
KW - Raney sequence; Fuss-Catalan numbers; multiplicative free convolution
UR - http://eudml.org/doc/283822
ER -
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