Probabilistic derivation of a bilinear summation formula for the Meixner-Pollaczek polynominals
Using the technique of canonical expansion in probability theory, a bilinear summation formula is derived for the special case of the Meixner-Pollaczek polynomials {λn(k)(x)} which are defined by the generating function ∑n=0∞λn(k)(x)zn/n!=(1+z)12(x−k)/(1−z)12(x+k), |z|<1. These polynomials...
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| Format: | Article |
| Language: | en |
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Hindawi Publishing Corporation
1980
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| Online Access: | http://eprints.um.edu.my/17452/1/LeePA_%281980%29.pdf http://eprints.um.edu.my/17452/ http://dx.doi.org/10.1155/S0161171280000555 |
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