Rogers polynomials ♦ 11—11 of 11 matching pages ♦ SearchAdvancedHelp (0.002 seconds) 11—11 of 11 matching pages 11: 26.10 Integer Partitions: Other Restrictions … ► 26.10.3 ( 1 − x ) ∑ m , n = 0 ∞ p m ( ≤ k , 𝒟 , n ) x m q n = ∑ m = 0 k [ k m ] q q m ( m + 1 ) / 2 x m = ∏ j = 1 k ( 1 + x q j ) , | x | < 1 , ⓘ Symbols: [ n m ] q : q -binomial coefficient (or Gaussian polynomial), p k ( ≤ m , n ) : number of partitions of n into at most k parts, each less than or equal to m , x : real variable, j : nonnegative integer, k : nonnegative integer, m : nonnegative integer, n : nonnegative integer and q : parameter Referenced by: §26.10(ii) Permalink: http://dlmf.nist.gov/26.10.E3 Encodings: pMML, png, TeX See also: Annotations for §26.10(ii), §26.10 and Ch.26 … ► §26.10(iv) Identities ►Equations (26.10.13) and (26.10.14) are the Rogers–Ramanujan identities. …