@Override
public double calcDerivative(final double dblVariate, final int iOrder)
throws java.lang.Exception {
return iOrder > _iExponent
? 0.
: java.lang.Math.pow(dblVariate, _iExponent - iOrder)
/ org.drip.quant.common.NumberUtil.Factorial(_iExponent - iOrder);
}
@Override
public double integrate(final double dblBegin, final double dblEnd) throws java.lang.Exception {
if (!org.drip.quant.common.NumberUtil.IsValid(dblBegin)
|| !org.drip.quant.common.NumberUtil.IsValid(dblEnd))
throw new java.lang.Exception("NaturalLogSeriesElement::integrate => Invalid Inputs");
return (java.lang.Math.pow(dblEnd, _iExponent) - java.lang.Math.pow(dblBegin, _iExponent))
/ org.drip.quant.common.NumberUtil.Factorial(_iExponent + 1);
}
@Override
public double evaluate(final double dblVariate) throws java.lang.Exception {
return java.lang.Math.pow(dblVariate, _iExponent)
/ org.drip.quant.common.NumberUtil.Factorial(_iExponent);
}