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1: 18.36 Miscellaneous Polynomials
Sobolev OP’s are orthogonal with respect to an inner product involving derivatives. … These are matrix-valued polynomials that are orthogonal with respect to a square matrix of measures on the real line. …
2: 26.12 Plane Partitions
26.12.10 ( h = 1 r j = 1 s h + j + t - 1 h + j - 1 ) ( h = 1 r + 1 j = 1 s h + j + t - 1 h + j - 1 ) ;
26.12.11 ( h = 1 r + 1 j = 1 s h + j + t - 1 h + j - 1 ) ( h = 1 r j = 1 s + 1 h + j + t - 1 h + j - 1 ) .
26.12.13 h = 1 r j = 1 r h + j + t - 1 h + j - 1 ;
26.12.14 h = 1 r j = 1 r + 1 h + j + t - 1 h + j - 1 .
where σ 2 ( j ) is the sum of the squares of the divisors of j . …
3: 20.12 Mathematical Applications
For applications of θ 3 ( 0 , q ) to problems involving sums of squares of integers see §27.13(iv), and for extensions see Estermann (1959), Serre (1973, pp. 106–109), Koblitz (1993, pp. 176–177), and McKean and Moll (1999, pp. 142–143). For applications of Jacobi’s triple product (20.5.9) to Ramanujan’s τ ( n ) function and Euler’s pentagonal numbers see Hardy and Wright (1979, pp. 132–160) and McKean and Moll (1999, pp. 143–145). …
4: 27.6 Divisor Sums
27.6.1 d | n λ ( d ) = { 1 , n  is a square , 0 , otherwise .
27.6.2 d | n μ ( d ) f ( d ) = p | n ( 1 - f ( p ) ) , n > 1 .
Generating functions, Euler products, and Möbius inversion are used to evaluate many sums extended over divisors. …
5: 4.35 Identities
§4.35(ii) Squares and Products
6: 10.65 Power Series
§10.65(iii) Cross-Products and Sums of Squares
7: 4.21 Identities
§4.21(ii) Squares and Products
8: 10.67 Asymptotic Expansions for Large Argument
§10.67(ii) Cross-Products and Sums of Squares in the Case ν = 0
9: DLMF Project News
error generating summary
10: 20.7 Identities
§20.7(i) Sums of Squares
§20.7(iv) Reduction Formulas for Products
In the following equations τ = - 1 / τ , and all square roots assume their principal values. …
§20.7(ix) Addendum to 20.7(iv) Reduction Formulas for Products