Geodesic
A New Proof of a Watson's Formula
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 414-418

Voir la notice de l'article provenant de la source Cambridge University Press

A new proof of a product formula for Laguerre polynomials, due originally to Watson, is given. Considering the commutative Banach algebra of radial functions on the Heisenberg groups Hn, n ≧ 2, we observe that Watson's formula holds for z = 1,2, 3, .... Then, applying a complex function theory argument, we establish the validity of this formula for other complex values of z, i.e. for Re z > - 1/2.
DOI : 10.4153/CMB-1988-060-8
Mots-clés : Laguerre polynomials, Heisenberg groups, 33A65, 33A75, 43A80 
Stempak, Krzysztof. A New Proof of a Watson's Formula. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 414-418. doi: 10.4153/CMB-1988-060-8
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