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Tagged with bernoulli-numbers ca.classical-analysis-and-odes
2 questions
6
votes
1
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An operation is defined on polynomials. How do I generalize it to other classes of functions?
I am currently researching divergent integrals.
Definition. An extended number is an expression of the form $\int_a^b f(x)\,dx$, where $a,b\in \overline{\mathbb{R}}$ and function $f(x)$ is defined ...
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5
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1
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How naturally can functions defined by parametric integrals be interpolated from $\mathbb N$ to $\mathbb R^+$?
It is well known that several definite integrals $I_n$ containing a parameter $n\in\mathbb N$ can be expressed recursively (e.g. doing integration by parts) in terms of $I_{n-1} $ or $I_{n-2} $, and ...
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