The Partition Function of Andrews and Stanley and Al-Salam-Chihara Polynomials
نویسندگان
چکیده
For any partition λ let ω(λ) denote the four parameter weight ω(λ) = a P
منابع مشابه
The Andrews-Stanley partition function and Al-Salam-Chihara polynomials
We show that the generating function ∑ ω(λ) where ω(λ) denotes the four parameter weight ω(λ) = a ∑ i≥12i−1b ∑ i≥12i−1c ∑ i≥12id ∑ i≥12i, and the sum runs over all ordinary or strict partitions λ with parts each ≤ N , is expressed by the Al-Salam Chihara polynomials. As a corollary we prove C. Boulet’s results when λ runs over all ordinary or strict partitions. In the last section we study the ...
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