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Anixx
  • Member for 13 years, 5 months
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117 votes
4 answers
36k views

Is the analysis as taught in universities in fact the analysis of definable numbers?

75 votes
3 answers
3k views

Is there any deep philosophy or intuition behind the similarity between $\pi/4$ and $e^{-\gamma}$?

26 votes
5 answers
3k views

Do complex iterates of functions have any meaning?

23 votes
6 answers
4k views

Anti-delta function?

16 votes
2 answers
2k views

Intuitive explanation why "shadow operator" $\frac D{e^D-1}$ connects logarithms with trigonometric functions?

11 votes
2 answers
1k views

What's the matrix of logarithm of derivative operator ($\ln D$)? What is the role of this operator in various math fields?

10 votes
1 answer
538 views

Is exponent of discrete-analytic function also discrete-analytic?

10 votes
1 answer
522 views

In surreal numbers, what is $\ln \omega$?

9 votes
2 answers
1k views

Newton series and Fourier transform - is there an analogy?

8 votes
2 answers
1k views

Is there a known formula for fractional derivative of cot x?

7 votes
0 answers
1k views

Are these two functions equal?

7 votes
1 answer
1k views

Can roots of any polynomial be expressed using Eulerian function?

7 votes
2 answers
440 views

Functions which form continuous curve with its own iterations

7 votes
0 answers
201 views

Are these identities Newton series?

7 votes
1 answer
550 views

Are there any standard analysis facts that can be proven or arrived only by means of non-archimedean extensions of reals and non-standard analysis?

7 votes
3 answers
646 views

Transformation converting power series to Bernoulli polynomial series

7 votes
1 answer
704 views

Is the Euler–Mascheroni constant an EL-number?

6 votes
1 answer
686 views

An operation is defined on polynomials. How do I generalize it to other classes of functions?

6 votes
0 answers
300 views

Is there any intuition of why the both, regularized logarithm of zero is $-\gamma$ and the regularized logarithm of Bernoulli umbra is $-\gamma$?

5 votes
2 answers
472 views

Are there any known approaches of generalizing functions that do not have a limit at infinity to values at infinity?

5 votes
2 answers
770 views

Was there ever proposed a theory where the value of Dirac Delta at zero had meaning on itself?

5 votes
0 answers
252 views

Is there a practical application of natural integral or differintegral?

5 votes
0 answers
251 views

More or less universal formula for regularization of divergent integrals?

5 votes
1 answer
536 views

Is Zeta function discrete-analytic?

4 votes
2 answers
817 views

What are the criteria for an elementary function to be infinitely integrable in elementary functions?

4 votes
0 answers
136 views

Classifying countable sets of weighted dots on a real line

4 votes
1 answer
477 views

For which classes of functions this inverse function formula gives a closed form expression?

4 votes
2 answers
1k views

Convergence of Newton series for sin ax

4 votes
2 answers
809 views

Is there a sensible way to regularize $\int_0^\infty \tan x\, dx$?

4 votes
2 answers
1k views

A set whose Hausdorff dimension gradually changes?

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