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We study Okada's conjecture on $(q,t)$-hook formula of general $d$-completeposets. Proctor classified $d$-complete posets into 15 irreducible ones. We tryto give a case-by-case proof of Okada's $(q,t)$-hook formula conjecture usingthe symmetric functions. Here we give a proof of the conjecture for birds andbanners, in which we use Gasper's identity for VWP-series ${}_{12}W_{11}$.

(q,t)-hook formula for Birds and Banners