Truncated Power Function

The function defined by

$y_+^alpha={y^alpha for y>0; 0 for y<=0.$

(1)

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More things to try:

Catalan's conjecture
powers
Bernoulli B(16)

References

Massopust, P. Interpolation and Approximation with Splines and Fractals. Oxford, England: Oxford University Press, p. 46, 2010.Samko, S. G.; Kilbas, A. A.; and Marichev, O. I. Fractional Integrals and Derivatives. Yverdon, Switzerland: Gordon and Breach, p. 22, 1993.

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Truncated Power Function

Cite this as:

Weisstein, Eric W. "Truncated Power Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TruncatedPowerFunction.html

Truncated Power Function

See also

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References

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