Harmonic partial fraction exponent series

n

Exponent

v = (v_f)^{(1 ± 1/n)}

v_f = [(v_f)^{(n ± 1/n)}]^{1/(n ± 1/n)}

−3

−2/3

(100)^(−2/3) = 1/21.5443

(1/21.5443)^(−3/2) = 100

−3

−3/2

(100)^(−3/2) = 1/1000

(1/1000)^(−2/3) = 100

−1

−1/1

(100)^(−1/1) = 1/100

(1/100)⁽⁻¹⁾ = 100

0

+1

+1/1

(100)^(+1/1) = 100

(100)⁽⁺¹⁾ = 100

+2

+3/2

(100)^(+3/2) = 1000

(1000)^(+2/3) = 100

+3

+2/3

(100)^(+2/3) = 21.5443

(21.5443)^(+3/2) = 100