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  • 0 posts edited
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  • 29 votes cast
Apr
6
awarded  Popular Question
Mar
30
awarded  Popular Question
Mar
5
awarded  Yearling
Jan
3
revised Mathematica 9 and later behavior with derivative of a sum
edited title
Nov
29
comment How can I plot this Hurwitz Zeta-based function at negative arguments?
@eldo try pw[-3, -3], pw[-3, 2], pw[-3, 1]. They all produce good results.
Nov
29
comment How can I plot this Hurwitz Zeta-based function at negative arguments?
@eldo numerically it evaluates well.
Nov
29
comment How can I plot this Hurwitz Zeta-based function at negative arguments?
@eldo I used the both of your pieces of advice, added PlotPoints -> Automatic and removed ClippingStyle -> None and still it cannot plot anything at b<-1
Nov
29
asked How can I plot this Hurwitz Zeta-based function at negative arguments?
Aug
29
awarded  Nice Question
Aug
29
comment How to deduce the Ramanujan's summation of this series?
@Guess who it does not resolve symbolically.
Aug
29
asked How to deduce the Ramanujan's summation of this series?
Jul
10
comment Version 10 of Mathematica in Windows XP
@dbanet maybe Mathematica needs some architecture extensions like SSE to work on your CPU which are absent?
Jun
12
awarded  Nice Question
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
I think your method is not suitable for anything other the polynomials because in that case the sum becomes finite. Mathematica cannot find the infinite sums :-(.
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
One can use the filliwing formula alternatively: $$\sum_{k=1}^{\infty}\frac{\Delta^{k-1}[f](1)}{k!}(-1)_k$$ where $$(x)_k=\frac{\Gamma(x+1)}{\Gamma(x-k+1)}$$ is the Porchhammer symbol (failing factorial). AFAIK it is implemented in Mathematica, otherwise one should employ limits because the both numerfator and denomenator have poles at the points.
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
@xzczd this is correct, my comment is somewhat confusing. The ramanujan's sum of g(x)=1 is indeed -0.5. In the comment I meant that I want the Ramanujan's sum of the difference delta. I want a similar formula but giving symbolic results.
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
@xzczd difference delta, f(x+1)-f(x).
May
7
awarded  Promoter
Apr
25
comment How to invert the default order of polynomial?
@Oleksandr R. maybe, actually! Need more look at it.
Apr
25
comment How to invert the default order of polynomial?
@kguler there can be many parameters (as many as the degree of the polynomia)l. It is easier to re-type all manually than list the parameters in this option.