Category:Examples of Generating Functions
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This category contains examples of Generating Function.
Let $A = \sequence {a_n}$ be a sequence in $\R$.
Then $\ds \map {G_A} z = \sum_{n \mathop \ge 0} a_n z^n$ is called the generating function for the sequence $A$.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Examples of Generating Functions"
The following 18 pages are in this category, out of 18 total.
G
- Generating Function for Associated Legendre Function of the First Kind
- Generating Function for Bernoulli Polynomials
- Generating Function for Binomial Coefficients
- Generating Function for Boubaker Polynomials
- Generating Function for Constant Sequence
- Generating Function for Elementary Symmetric Function
- Generating Function for Fibonacci Numbers
- Generating Function for Legendre Polynomials
- Generating Function for Lucas Numbers
- Generating Function for Natural Numbers
- Generating Function for Natural Numbers/Corollary
- Generating Function for Powers of Two
- Generating Function for Sequence of Harmonic Numbers
- Generating Function for Sequence of Powers of Constant
- Generating Function for Sequence of Reciprocals of Natural Numbers
- Generating Function for Sequence of Sum over k to n of Reciprocal of k by n-k
- Generating Function for Triangular Numbers
- Generating Function for Triangular Numbers/Corollary