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Formula:8614

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Digital Library of Mathematical Functions ID 26.12.E4

∏ ( h , j , k ) ∈ B ⁢ ( r , s , t ) h + j + k - 1 h + j + k - 2 = ∏ h = 1 r ∏ j = 1 s h + j + t - 1 h + j - 1 . subscript product ℎ 𝑗 𝑘 𝐵 𝑟 𝑠 𝑡 ℎ 𝑗 𝑘 1 ℎ 𝑗 𝑘 2 superscript subscript product ℎ 1 𝑟 superscript subscript product 𝑗 1 𝑠 ℎ 𝑗 𝑡 1 ℎ 𝑗 1 {\displaystyle{\displaystyle\prod_{(h,j,k)\in B(r,s,t)}\frac{h+j+k-1}{h+j+k-2}% =\prod_{h=1}^{r}\prod_{j=1}^{s}\frac{h+j+t-1}{h+j-1}.}}


Constraint(s)

Symbols List

  • ∈ {\displaystyle{\displaystyle\in}} :
  • r 𝑟 {\displaystyle{\displaystyle r}} : positive integer
  • s 𝑠 {\displaystyle{\displaystyle s}} : positive integer
  • t 𝑡 {\displaystyle{\displaystyle t}} : positive integer
  • h ℎ {\displaystyle{\displaystyle h}} : positive integer
  • j 𝑗 {\displaystyle{\displaystyle j}} : positive integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : positive integer
  • B ⁢ ( r , s , t ) 𝐵 𝑟 𝑠 𝑡 {\displaystyle{\displaystyle B(r,s,t)}} : Box
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