We study the behavior at infinity in time of any global solution θ in C (R , H^{ 2−2α} R^2) of the
surface quasigeostrophic equation with subcritical exponent 2/3 ≤ α ≤ 1. We prove that
the limit of θ is 0 in the space H^{ 2−2α} R^2. Moreover, we prove also the nonhomogeneous version of the previous  result, and we prove that if θ ∈ C( R , H^{2−2α} R^2) is a global solution, then the limit is also 0.

This paper gives a solution, without the use of the three-term recurrence
relation, of the problem posed in Ismail (Classical and Quantum Orthogonal Poly-
nomials in One Variable, Cambridge University Press, Cambridge, 2005) (Problem
24.8.2, p. 658): that the hypergeometric representation of the general Pollaczek poly-
nomials is a polynomial in cos(θ ) of degree n. Chu solved in (Ramanujan J. 13(1–3):
221–225, 2007) the problem in a particular case. We use elementary properties