## Finite differences for actuarial students |

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### Contents

Operators Interpolation | 1 |

Central Differences | 23 |

Inveese Inter | 33 |

2 other sections not shown

### Common terms and phrases

a2ux Ac Ua Actuarial Students Aft Ua algebraic algebraic quantities Am_1 Bessel's formula Binomial coefficients calculus of finite complementary solution corres difference equation divided difference formula equal equating coefficients Euler-Maclaurin Everett's formula Example 43 expansion expression Finite Differences finite integration formula of interpolation forward formula Gauss's backward formula Hardy's formula Hexagon Diagram Institute of Actuaries INVERSE INTERPOLATION Lagrange's formula loge method n terms Newton's divided difference Newton's formula nth difference nth term obtained operator order of differences particular integral Prove quadratic function rational integral function relation result right hand side roots S„_i Similarly Simpson's Rule Solve Stirling's formula Substituting in Newton's sum to infinity sum to n transformed unit of differencing unity ux A vx Ux dx ux vx Ux-i ux+i uxvx values of ux variable variable interpolation write written ux x-b ub zero