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Title: Recurrence Equation -- from Wolfram MathWorld

Open Graph Title: Recurrence Equation -- from Wolfram MathWorld

X Title: Recurrence Equation -- from Wolfram MathWorld

Description: A recurrence equation (also called a difference equation) is the discrete analog of a differential equation. A difference equation involves an integer function f(n) in a form like f(n)-f(n-1)=g(n), (1) where g is some integer function. The above equation is the discrete analog of the first-order ordinary differential equation f^'(x)=g(x). (2) Examples of difference equations often arise in dynamical systems. Examples include the iteration involved in the Mandelbrot and Julia set...

Open Graph Description: A recurrence equation (also called a difference equation) is the discrete analog of a differential equation. A difference equation involves an integer function f(n) in a form like f(n)-f(n-1)=g(n), (1) where g is some integer function. The above equation is the discrete analog of the first-order ordinary differential equation f^'(x)=g(x). (2) Examples of difference equations often arise in dynamical systems. Examples include the iteration involved in the Mandelbrot and Julia set...

X Description: A recurrence equation (also called a difference equation) is the discrete analog of a differential equation. A difference equation involves an integer function f(n) in a form like f(n)-f(n-1)=g(n), (1) where g is some integer function. The above equation is the discrete analog of the first-order ordinary differential equation f^'(x)=g(x). (2) Examples of difference equations often arise in dynamical systems. Examples include the iteration involved in the Mandelbrot and Julia set...

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DC.TitleRecurrence Equation
DC.CreatorWeisstein, Eric W.
DC.DescriptionA recurrence equation (also called a difference equation) is the discrete analog of a differential equation. A difference equation involves an integer function f(n) in a form like f(n)-f(n-1)=g(n), (1) where g is some integer function. The above equation is the discrete analog of the first-order ordinary differential equation f^'(x)=g(x). (2) Examples of difference equations often arise in dynamical systems. Examples include the iteration involved in the Mandelbrot and Julia set...
DC.Date.Created2002-04-25
DC.Subject65Q30
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/RecurrenceEquation.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
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DC.TypeText
Last-Modified2002-04-25
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Clenshaw Recurrence Formulahttps://mathworld.wolfram.com/ClenshawRecurrenceFormula.html
Difference-Differential Equationhttps://mathworld.wolfram.com/Difference-DifferentialEquation.html
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Finite Differencehttps://mathworld.wolfram.com/FiniteDifference.html
Indicial Equationhttps://mathworld.wolfram.com/IndicialEquation.html
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Ordinary Differential Equationhttps://mathworld.wolfram.com/OrdinaryDifferentialEquation.html
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Quotient-Difference Tablehttps://mathworld.wolfram.com/Quotient-DifferenceTable.html
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Skolem-Mahler-Lech Theoremhttps://mathworld.wolfram.com/Skolem-Mahler-LechTheorem.html
Catalan number https://www.wolframalpha.com/input/?i=Catalan+number
recurrence equation for HermiteH(n,z) https://www.wolframalpha.com/input/?i=recurrence+equation+for+HermiteH%28n%2Cz%29
recurrence equation a(n + 2) + 3 a(n+1) + 2a(n)= 6n-1 https://www.wolframalpha.com/input/?i=recurrence+equation+a%28n+%2B+2%29+%2B+3+a%28n%2B1%29++%2B+2a%28n%29%3D+6n-1
Difference Equations and Inequality: Theory, Methods, and Applications, 2nd ed., rev. exp.http://www.amazon.com/exec/obidos/ASIN/0824790073/ref=nosim/ericstreasuretro
An Introduction to Linear Difference Equations.http://www.amazon.com/exec/obidos/ASIN/0486617890/ref=nosim/ericstreasuretro
Differential-Difference Equations.http://www.amazon.com/exec/obidos/ASIN/0120848503/ref=nosim/ericstreasuretro
CRC Standard Mathematical Tables, 28th ed.http://www.amazon.com/exec/obidos/ASIN/1584882913/ref=nosim/ericstreasuretro
Differential and Difference Equations.http://www.amazon.co.uk/exec/obidos/ASIN/B0000CNAB1/ref=nosim/mathworld-21
Modelling with Differential and Difference Equations.http://www.amazon.com/exec/obidos/ASIN/052144618X/ref=nosim/ericstreasuretro
Introduction to Difference Equations, with Illustrative Examples from Economics, Psychology, and Sociology.http://www.amazon.com/exec/obidos/ASIN/0486650847/ref=nosim/ericstreasuretro
Mathematics for the Analysis of Algorithms, 3rd ed.http://www.amazon.com/exec/obidos/ASIN/0817635157/ref=nosim/ericstreasuretro
Finite Difference Equations.http://www.amazon.com/exec/obidos/ASIN/0486672603/ref=nosim/ericstreasuretro
Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed.http://www.amazon.com/exec/obidos/ASIN/052143064X/ref=nosim/ericstreasuretro
Difference Methods for Initial-Value Problems, 2nd ed.http://www.amazon.com/exec/obidos/ASIN/0894647636/ref=nosim/ericstreasuretro
An Introduction to Combinatorial Analysis.http://www.amazon.com/exec/obidos/ASIN/0691023654/ref=nosim/ericstreasuretro
The Encyclopedia of Integer Sequences.http://www.amazon.com/exec/obidos/ASIN/0125586302/ref=nosim/ericstreasuretro
http://www.ericweisstein.com/encyclopedias/books/DifferenceEquations.htmlhttp://www.ericweisstein.com/encyclopedias/books/DifferenceEquations.html
Computations with Recurrence Relations.http://www.amazon.com/exec/obidos/ASIN/0273085085/ref=nosim/ericstreasuretro
A New Kind of Science.http://www.amazon.com/exec/obidos/ASIN/1579550088/ref=nosim/ericstreasuretro
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