Polynomials

P-recursive equation

In mathematics a P-recursive equation is a linear equation of sequences where the coefficient sequences can be represented as polynomials. P-recursive equations are linear recurrence equations (or linear recurrence relations or linear difference equations) with polynomial coefficients. These equations play an important role in different areas of mathematics, specifically in combinatorics. The sequences which are solutions of these equations are called holonomic, P-recursive or D-finite. From the late 1980s on the first algorithms were developed to find solutions for these equations. Sergei A. Abramov, Marko Petkovšek and Mark van Hoeij described algorithms to find polynomial, rational, hypergeometric and d'Alembertian solutions. (Wikipedia).

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Compare Linear and Exponential Growth Using Recursive and Explicit Equations

This video explains the different between linear and exponential growth. Both recursive and explicit equations are discussed. Site: http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Ex: Write a Recursive and Explicit Equation to Model Linear Growth

This video provides an basic example of how to determine a recursive and explicit equation to model linear growth given P_0 and P_1. http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Applying the recursive formula to a sequence to determine the first five terms

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

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Recursive Functions (Discrete Math)

This video introduces recursive formulas.

From playlist Functions (Discrete Math)

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Using the recursive formula to find the first four terms of a sequence

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

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Applying the recursive formula to a geometric sequence

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

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How to use the recursive formula to evaluate the first five terms

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

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Linear Growth: Recursive and Explicit Equations Part 1

This video explains how to express linear growth using recursive and explicit equations. Site: http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Logistic Growth: Using Recursive Equations

This lesson explains the recursive equation used to model logistic growth. Site: http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Linear Growth: Recursive and Explicit Equations Part 2

This video explains how to express linear growth using recursive and explicit equations. Site: http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Alexander Hock: From noncommutative quantum field theory to blobbed topological recursion

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Scalar quantum field theory on noncommutative Moyal space can be approximated by matrix models with non-trivial covariance. One example is the Kontsevich model, which

From playlist Noncommutative geometry meets topological recursion 2021

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Bertrand Eynard: (Mixed) topological recursion and the two-matrix model - Lecture 3

Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this series of lecture we will introduce the 2-matrix model and the issue of mixed traces, then we shall give the answers as formulas. Some formulas will be

From playlist Noncommutative geometry meets topological recursion 2021

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How to find the first four terms of a recursive formula

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

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Exponential Growth: Recursive and Explicit Equations Part 2

This video explains how to express exponential growth using recursive and explicit equations. Site: http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Exponential Growth: Recursive and Explicit Equations Part 1

This video explains how to express exponential growth using recursive and explicit equations. Site: http://mathispower4u.com

From playlist Linear, Exponential, and Logistic Growth: Recursive/Explicit

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Learn how to find the first five terms of a sequence using the recursive formula

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

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Bertrand Eynard - Considerations about Resurgence Properties of Topological Recursion

To a spectral curve $S$ (e.g. a plane curve with some extra structure), topological recursion associates a sequence of invariants: some numbers $F_g(S)$ and some $n$-forms $W_{g,n}(S)$. First we show that $F_g(S)$ grow at most factorially at large $g$, $F_g = O((

From playlist Resurgence in Mathematics and Physics

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Non-stationary Markow Processes: Approximations and Numerical Methods by Peter Glynn

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From playlist Advances in Applied Probability 2019

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How to find a geometric rule for a recursive sequence

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Related pages

Sequence space | Basis (linear algebra) | Rational function | System of linear equations | Gamma function | Formal power series | Algebraic closure | Combinatorics | Hypergeometric identity | Holonomic function | Generalized permutation matrix | Kernel (linear algebra) | Polynomial ring | Involution (mathematics) | Sequence | Petkovšek's algorithm