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 Options

  • DiscreteRatio[f,i] can be input as if. The character is entered dratio 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.

Examples

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Basic Examples  (4)

Discrete ratio with respect to i:

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Discrete ratio for a geometric progression corresponds to the ratio:

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Enter using dratio, and subscripts using :

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Discrete ratio is the inverse operator to Product: »

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Scope  (20)

Applications  (6)

Properties & Relations  (6)

Neat Examples  (1)

See Also

Ratios  Product  DifferenceDelta  DiscreteShift  DifferenceQuotient  Pochhammer  FactorialPower  BarnesG  Divide

Introduced in 2008
(7.0)