Let , and write

(1) 
Then define by the Generating Function

(2) 
The Generating Function may also be written

(3) 
where is a Chebyshev Polynomial of the Second Kind. They satisfy the Recurrence Relation

(4) 
for , 3, ...with
In terms of the Hypergeometric Function
,

(7) 
They obey the orthogonality relation

(8) 
where is the Kronecker Delta, for , 1, ..., with the Weight Function

(9) 
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 393400, 1975.
© 19969 Eric W. Weisstein
19990525