# Order recurrence relations

## §22 Recurrence Relations

is called a first-order linear recurrence relation. If we specify a0 = α then we call α an initial condition. Theorem (Uniqueness of solutions).
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## 5.8 Second-Order Linear Homogeneous Recurrence Relations with

Definition. A second-order linear homogeneous recurrence relation with constant coefficients is a recurrence relation of the form ak = Aak-1 + Bak-2.
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## Some identities for Jacobsthal and Jacobsthal-Lucas numbers

The Jacobsthal recurrence relation is extended to higher order recurrence relations and the basic list of identities provided by A. F. Horadam [10] is.
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## Second-Order Linear Homogeneous Recurrence Relations with

Given a second-order linear homogeneous recurrence relation with constant coefficients if the characteristic equation has two distinct roots
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## On a new class of 2-orthogonal polynomials I: The recurrence

6 oct. 2020 A differential-recurrence relation as well as a third-order differential equation satisfied by the resulting polynomials are given.

## ORDINARY GENERATING FUNCTIONS OF BINARY PRODUCTS

PRODUCTS OF THIRD-ORDER RECURRENCE RELATIONS. AND 2-ORTHOGONAL POLYNOMIALS. Hind Merzouk* — Ali Boussayoud*. c. — Abdelhamid Abderrezzak**.

## SOME PROPERTIES OF THIRD-ORDER RECURRENCE RELATIONS

SOME PROPERTIES OF THIRD-ORDER RECURRENCE RELATIONS. A. G. SHANNON*. University of Papua and New Guinea Boroko
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## a multidimensional continued fraction based on a high-order

11 mai 2007 The algorithm uses a linear recurrence relation to generate a vector sequence the basic idea being to choose the integral coefficients in the ...
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1. solving first order recurrence relations
2. solving second order recurrence relations