💡 Words with a Similar Meaning to "Generating function"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| exponential generating functionnoun | (mathematics) A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied. |
| formal power seriesnoun | (mathematics, algebra) Any finite or infinite series of the form a_0+a_1x+a_2x²…=∑ᵢa_ixⁱ, where the aᵢ are numbers, but it is understood that no value is assigned to x. |
| developmentnoun | (uncountable) The process of developing; growth, directed change. |
| power seriesnoun | (mathematics, mathematical analysis) Any infinite series of the general form ∑ᵢ₌₀ ᪲a_i(x-c)ⁱ. |
| polynomial formnoun | (algebra) A linear combination of powers of an indeterminate (or products of powers of more than one indeterminate), with coefficients belonging to an integral domain or a field. (The indeterminate is thought of as an element extraneous to the set of coefficients, instead of as a variable element of it (as in the case of polynomial functions), just as, say, the square root of negative one is an element extraneous to the set of integers when it is adjoined to them to form the domain of Gaussian integers. The indeterminate forms a free commutative monoid, to which all powers of it belong, and the unity of it can also show up implicitly in the constant term of a polynomial form.) |
| hypergeometric seriesnoun | (mathematics) Any power series such that the ratio of the (k+1)-th and the k-th terms is a rational function of the natural integer k. |
| lacunary seriesnoun | (mathematics) A series with arbitrarily large gaps between nonzero terms, usually a power series or trigonometric series. |
| infinite seriesnoun | (mathematical analysis) Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers. |
| geometric seriesnoun | (mathematical analysis) Any infinite series whose terms are in geometric progression; any series of the form a+ar+ar²+ar³⋯=a∑ᵢ₌₀ ᪲rⁱ, where a≠0, r≠0, and r≠1. |
| hahn seriesnoun | (mathematics) A type of formal infinite series, a generalization of Puiseux series. They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group. |
| divergent seriesnoun | (mathematical analysis) An infinite series whose partial sums are divergent. |
| gamma functionnoun | (mathematical analysis) A meromorphic function which generalizes the notion of factorial to complex numbers and has singularities at the nonpositive integers; any of certain generalizations or analogues of said function, such as extend the factorial to domains other than the complex numbers. |
| harmonic seriesnoun | (mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n. |
| alternating seriesnoun | (mathematics) An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n. |
| recursive functionnoun | (computing) Any function that uses recursion and can call itself until a certain condition is met. |
| power functionnoun | (mathematics) A function where the independent variable is raised to a particular real number power. |
| lacunary functionnoun | (mathematics) A function defined by a lacunary series, especially one which cannot be analytically continued outside its domain of convergence. |
| composite functionnoun | (mathematics) A function of one or more independent variables, at least one of which is itself a function of one or more other independent variables; a function of function(s). |
| moment-generating functionnoun | (mathematics) A function derived from the probability distribution of a random variable. |
| generatornoun | One who, or that which, generates, begets, causes, or produces. |
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