On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them
Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 151-157
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We consider the Touchard polynomials, which are extensions of the Bell polynomials, and the $P$-polynomials which, together with the Touchard polynomials, form a quasi-orthogonal system. We establish analytical conjugacy of the Touchard polynomials and the $P$-polynomials, which allows us, in particular, to find a series of new recurrence relations for the $P$-polynomials.
@article{DM_2002_14_1_a10,
author = {O. V. Kuz'min and O. V. Leonova},
title = {On the analytic conjugacy of {Touchard} polynomials and the polynomials quasi-orthogonal to them},
journal = {Diskretnaya Matematika},
pages = {151--157},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/}
}
TY - JOUR AU - O. V. Kuz'min AU - O. V. Leonova TI - On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them JO - Diskretnaya Matematika PY - 2002 SP - 151 EP - 157 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/ LA - ru ID - DM_2002_14_1_a10 ER -
O. V. Kuz'min; O. V. Leonova. On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them. Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 151-157. http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/