Generating function and Rational function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Generating function and Rational function

Generating function vs. Rational function

In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series. In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.

Codomain

In mathematics, the codomain or target set of a function is the set into which all of the output of the function is constrained to fall.

Codomain and Generating function · Codomain and Rational function · See more »

Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.

Coefficient and Generating function · Coefficient and Rational function · See more »

Domain of a function

In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.

Domain of a function and Generating function · Domain of a function and Rational function · See more »

Geometric series

In mathematics, a geometric series is a series with a constant ratio between successive terms.

Generating function and Geometric series · Geometric series and Rational function · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Generating function and Mathematics · Mathematics and Rational function · See more »

Partial fraction decomposition

In algebra, the partial fraction decomposition or partial fraction expansion of a rational function (that is, a fraction such that the numerator and the denominator are both polynomials) is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

Generating function and Partial fraction decomposition · Partial fraction decomposition and Rational function · See more »

Recurrence relation

In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.

Generating function and Recurrence relation · Rational function and Recurrence relation · See more »

Taylor series

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.

Generating function and Taylor series · Rational function and Taylor series · See more »

Z-transform

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency domain representation.

Generating function and Z-transform · Rational function and Z-transform · See more »