reflection formula造句

Reflection formulas are useful for numerical computation of special functions.
We have already seen one striking example : the reflection formula essentially represents the sine function as the product of two gamma functions.
which springs trivially from the fact that the polygamma functions are defined as the derivations of the \ ln \ Gamma and thus its reflection formula is inherited to them.
Although the formula as stated here is only valid for arguments in the right complex half-plane, it can be extended to the entire complex plane by the reflection formula,
The difference equation for the G function, in conjunction with the functional equation for the Gamma function, can be used to obtain the following reflection formula for the Barnes G function ( originally proved by Hermann Kinkelin ):
It's difficult to find reflection formula in a sentence. 用reflection formula造句挺难的

The periodic zeta function occurs in the reflection formula for the Hurwitz zeta function, which is why the relation that it obeys, and the Hurwitz zeta relation, differ by the interchange of " s " & rarr; & minus; " s ".
The reflection formula was already published by Landen in 1760, prior to its appearance in a 1768 book by Euler; an equivalent to Abel's identity was already published by Carl Johan Danielsson Hill ( professor in Lund, Sweden ) in 1828 . has remarked that the dilogarithm is the only mathematical function possessing a sense of humor.
Euler published his results in the paper " De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt " ( " On transcendental progressions, that is, those whose general terms cannot be given algebraically " ), submitted to the St . Petersburg Academy on November 28, 1729 . Euler further discovered some of the gamma function's important functional properties, including the reflection formula.