Umbral Form
In the classic umbral calculus one formally treats the indices j in a sequence Bj as if they were exponents, so that, in this case we can apply the binomial theorem and say
In the modern umbral calculus, one considers the linear functional T on the vector space of polynomials in a variable b given by
Then one can say
Read more about this topic: Faulhaber's Formula
Famous quotes containing the word form:
“The habits of life form the soul, and the soul forms the countenance.”
—HonorĂ© De Balzac (17991850)