generating series
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Generating function — This article is about generating functions in mathematics. For generating functions in classical mechanics, see Generating function (physics). For signalling molecule, see Epidermal growth factor. In mathematics, a generating function is a formal … Wikipedia
Series A Financing — The first round of financing undergone for a new business venture after seed capital. Generally, this is the first time that company ownership is offered to external investors. Series A financing, may be provided in the form of preferred stock,… … Investment dictionary
Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } … Wikipedia
Generating trigonometric tables — In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables was … Wikipedia
Series-parallel networks problem — In combinatorial mathematics, the series parallel networks problem asks for the number of series parallel networks that can be formed using a given number of edges. The edges can be distinguishable or indistinguishable.Indistinguishable edgesWhen … Wikipedia
Dirichlet series — In mathematics, a Dirichlet series is any series of the form where s and an are complex numbers and n = 1, 2, 3, ... . It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in analytic number theory … Wikipedia
Probability-generating function — In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are… … Wikipedia
Examples of generating functions — The following examples are in the spirit of George Pólya, who advocated learning mathematics by doing and re capitulating as many examples and proofs as possible. The purpose of this article is to present common tricks of the trade in context, so … Wikipedia
Stirling numbers and exponential generating functions — The use of exponential generating functions or EGFs to study the properties of Stirling numbers is a classical exercise in combinatorics and possibly the canonical example of how symbolic combinatorics, the method that encapsulates the… … Wikipedia
Moment-generating function — In probability theory and statistics, the moment generating function of any random variable is an alternative definition of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with… … Wikipedia
Formal power series — In mathematics, formal power series are devices that make it possible to employ much of the analytical machinery of power series in settings that do not have natural notions of convergence. They are also useful, especially in combinatorics, for… … Wikipedia
