Special Values For Fractional Arguments
There are the following special analytic values for fractional arguments between 0 and 1, given by the integral
More may be generated from the recurrence relation or from the reflection relation .
For every, integer or not, we have:
Based on, we have:, where is the Euler–Mascheroni constant or, more generally, for every n we have:
Read more about this topic: Harmonic Number
Famous quotes containing the words special, values, fractional and/or arguments:
“Personal prudence, even when dictated by quite other than selfish considerations, surely is no special virtue in a military man; while an excessive love of glory, impassioning a less burning impulse, the honest sense of duty, is the first.”
—Herman Melville (18191891)
“Today so much rebellion is aimless and demoralizing precisely because children have no values to challenge. Teenage rebellion is a testing process in which young people try out various values in order to make them their own. But during those years of trial, error, embarrassment, a child needs family standards to fall back on, reliable habits of thought and feeling that provide security and protection.”
—Neil Kurshan (20th century)
“Hummingbird
stay for a fractional sharp
sweetness, ands gone, cant take
more than that.”
—Denise Levertov (b. 1923)
“Children are intensely invested in getting their way. They will devote more emotional and intellectual energy to winning arguments than parents ever will, and are almost always better rested.”
—Jean Callahan (20th century)