- #1
ianbell
- 20
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"Reduced Exponential"
I am interested in what I call the "reduced exponential"
Sum_i=1 to infinity x^(i-1) / i!
where x is a general element in an algebra of interest.
Only when x is invertible is the reduced exponential equivalent to (exp(x)-1) /x .
Obviously we have a "reduced log", the inverse of the reduced exponential.
Does anybody of any work or formulae involving this construct? TIA.
I am interested in what I call the "reduced exponential"
Sum_i=1 to infinity x^(i-1) / i!
where x is a general element in an algebra of interest.
Only when x is invertible is the reduced exponential equivalent to (exp(x)-1) /x .
Obviously we have a "reduced log", the inverse of the reduced exponential.
Does anybody of any work or formulae involving this construct? TIA.