In discrete calculus the indefinite sum operator (also known as the antidifference operator), denoted by ∑ x {\textstyle \sum _{x}} or Δ − 1 {\displaystyle...
14 KB (2,818 words) - 04:37, 18 June 2024
{\displaystyle \prod _{x}f(Tx)=Cf(Tx)^{x-1}} Indefinite product can be expressed in terms of indefinite sum: ∏ x f ( x ) = exp ( ∑ x ln f ( x ) ) {\displaystyle...
4 KB (938 words) - 07:30, 20 August 2024
contracting tensor indices Empty sum, a sum with no terms Indefinite sum, the inverse of a finite difference Kronecker sum, an operation considered a kind...
4 KB (605 words) - 01:54, 14 September 2024
Antiderivative (redirect from Indefinite integral)
antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a continuous function f is a differentiable function F whose...
21 KB (3,357 words) - 01:44, 17 September 2024
two types of sums over hypergeometric terms, the definite and indefinite sums. A definite sum is of the form ∑ k t k . {\displaystyle \sum _{k}t_{k}.}...
3 KB (413 words) - 15:22, 1 September 2024
Faulhaber's formula (redirect from Polynomials calculating sums of powers of arithmetic progressions)
falling factorials, and the behaviour of falling factorials under the indefinite sum. Interpreting the Stirling numbers of the second kind, { p + 1 k } {\displaystyle...
33 KB (7,891 words) - 23:57, 25 July 2024
Mock modular form (redirect from Lerch sum)
discovered the relation with non-holomorphic modular forms, Lerch sums, and indefinite theta series. Zwegers showed, using the previous work of Watson and...
42 KB (7,926 words) - 07:20, 27 April 2024
Finite difference (redirect from Calculus of sums and differences)
the forward difference operator, so then the umbral integral, is the indefinite sum or antidifference operator. Analogous to rules for finding the derivative...
38 KB (5,804 words) - 09:15, 22 August 2024
Integral (redirect from Sum rule in integration)
standard part of an infinite Riemann sum, based on the hyperreal number system. The notation for the indefinite integral was introduced by Gottfried Wilhelm...
68 KB (9,235 words) - 12:25, 23 August 2024
Incomplete gamma function – Types of special mathematical functions Indefinite sum – the inverse of a finite differencePages displaying wikidata descriptions...
29 KB (5,617 words) - 21:09, 30 January 2024