DiscreteRatio

DiscreteRatio[f, i]
gives the discrete ratio .

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, ... .

Details and OptionsDetails and Options

  • DiscreteRatio[f, i] can be input as . The character is entered EscdratioEsc or as \[DiscreteRatio]. The variable i is entered as a subscript.
  • All quantities that do not explicitly depend on the variables given are taken to have discrete ratio equal to one.
  • A multiple discrete ratio is defined recursively in terms of lower discrete ratios.
  • Discrete ratio is the inverse operator to indefinite product.
  • DiscreteRatio[f, ..., Assumptions->assum] uses the assumptions assum in the course of computing discrete ratios.

ExamplesExamplesopen allclose all

Basic Examples (5)Basic Examples (5)

Shift ratio with respect to i:

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Shift ratio of factorial related functions:

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Enter using EscdratioEsc, and subscripts using Ctrl+_:

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Shift ratio is the inverse operator to Product: »

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Shift ratio is the inverse operator to Product: »

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