Fantastic Recurrences and How to Solve Them

2019/2020 Spring Semester

Schedule

Date and time Room Subject Slides
11 March 2020
14:00-15:30
ICT-A1 Recurrences. Sums. The repertoire method. The perturbation method. Summation factors. Multiple sums. 1-Sums.pdf
Suspended until further notice Discrete calculus. Falling and rising factorials. Infinite sums and how to compute them (when they exist).
Suspended until further notice Convergence of series of functions. Analysis in the complex plane. Generating functions. Operations with generating functions.
Suspended until further notice Binomial coefficients with complex upper index. Stirling numbers. Inversion formulas.
Suspended until further notice Fibonacci numbers. Harmonic numbers. Bernoulli numbers. Exponential generating functions.
Suspended until further notice Linear recurrences. The Rational Expansion Theorem. Solving nonlinear recurrences with generating functions. The Dyck language.
Suspended until further notice Asymptotics. Manipulating asymptotics. Approximated solutions.

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Last updated: 16.03.2020 Silvio Capobianco