Pollaczek Polynomial
Let 
, and write
 | (1) |
by the Generating Function | (2) |
 | (3) |
is a Chebyshev Polynomial of the Second Kind. They satisfy the Recurrence Relation | (4) |
, 3, ...with |  |  | (5) |
 | |  | (6) |
In terms of the Hypergeometric Function
, | (7) |
 | (8) |
is the Kronecker Delta, for 
, 1, ..., with the Weight Function | (9) |
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 393-400, 1975.
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