In calculus, Bernoulli numbers and binomial coefficients are combined in Bernoulli polynomials. Matlab® provides a very useful command that you can calculate these Bernoulli polynomials easily which is the ‘bernoulli()’ command.
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Here, we simply explain the use of the ‘bernoulli()’ polynomial to calculate bernoulli polynomials in Matlab® with a very basic example below. You can also try this code in your own Matlab® software.
>> bernoulli(10,1) ans = 0.0758 >>
As you see in the example above, the use of the ‘bernoulli()’ command is very simple. Two elements need to be defined inside brackets. Bernoulli polynomial is defined like below;
According to this formula, the first term which is ’10’ at the above example is ‘n’, and the second term, which is ‘1’ in the example above is ‘t’.
So, the calculation of the bernoulli polynomials is like above in Matlab®.
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This article is prepared for completely educative and informative purposes. Images used courtesy of Matlab®
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