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DiscreteRatio

DiscreteRatio[f,i] gives the discrete ratio f(i+1)/f(i).

DiscreteRatio[f,{i,n}] gives the multiple discrete ratio.

DiscreteRatio[f,{i,n,h}] gives the multiple discrete ratio with step h.

DiscreteRatio[f,i,j,…] computes the partial difference ratio with respect to i, j, ….

Please visit the official Wolfram Language Reference for more details and examples on core symbols.