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Exponential generating function

💡 Words with a Similar Meaning to "Exponential generating function"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
generating functionnoun(mathematics) A formal power series with one indeterminate, whose coefficients encode a sequence that can be studied by algebraic manipulation of the series; any one of several generalizations, such as to encode more than one sequence or use more than one indeterminate.
exponentialnoun(mathematics) Any function that has an exponent as an independent variable.
exponentiationnoun(mathematics, arithmetic) The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.
exponential equationnoun(mathematics) A type of equation which includes a variable located in the exponent; for example, eˣ=1,.
exponential functionnoun(mathematics) Any function in which an independent variable is in the form of an exponent; they are the inverse functions of logarithms
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.
preexponentnoun(mathematics) Any factor that multiplies an exponential function
polyexponential(mathematics) Involving many exponentials
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.
power seriesnoun(mathematics, mathematical analysis) Any infinite series of the general form ∑ᵢ₌₀ ᪲a_i(x-c)ⁱ.
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.
hyperfactorialnoun(mathematics) The result of multiplying a given number of consecutive integers from 1 to the given number, each raised to its own power.
factorialnoun(mathematics, combinatorics) The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.
monoexponential(mathematics) Involving the exponent of a single variable
exponential growthnoun(mathematics) The growth in the value of a quantity in which the rate of growth is proportional to the instantaneous value of the quantity; for example, when the value has doubled, the rate of increase will also have doubled. The rate may be positive or negative.
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.
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.
factorializationnoun(mathematics) The process of factorializing.
biexponential(mathematics) Having two summed exponential terms.
power functionnoun(mathematics) A function where the independent variable is raised to a particular real number power.

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