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Jun
26
comment Multiplication $ H\times P(1/x) $ in sense of distributions
Cauchy's principal value en.wikipedia.org/wiki/Cauchy_principal_value
Jun
26
asked Multiplication $ H\times P(1/x) $ in sense of distributions
Jun
25
asked regularized sum
Jun
25
asked Shothostsky's formula regularization
Jun
24
comment Mellin transform of digamma function
i have used RAMANUJAN MASTER THEOREM and it is much more easier and faster however i aked if this can be obtained by another methods.
Jun
17
answered Finding the definite integral $\int_0^1 \log x\,\mathrm dx$
Jun
14
asked Harlan J. Brothers's approximation to $ e $ ad infinitum?
Jun
4
asked Borel and Abel resummation and zeta regularization
May
27
comment Logarithmic Equations
take the 3/4 power in both sides $ (5x+2)= 16^{3/4}=8 $ (use calculator) :) then $ 5x=8-2 $ and $ x=6/5 $
May
25
comment Summation with factorial terms (involving Laguerre polynomials)
rewrite $ x^{k } $ as a linear combination of Laguerre polynomials $ L_{m} (x) $ and use the orthogonality property $ \int_{0}^{\infty} L_{m}(x)L_{n}(x)exp(-x)dx =0 $
May
24
comment numerical approximation to logarithm
OK you are right perhapsh i should use this expression plus a power series involving teh difference $ln(x+1)-ln(x) $
May
23
comment numerical approximation to logarithm
so my expression should be $ ln(x)= x\int_{0}^{1} \frac{dt}{1+xt} $
May
23
asked numerical approximation to logarithm
May
22
accepted identity of polylogarithm
May
22
asked identity of polylogarithm
May
20
comment How to find inverse of the function $f(x)=\sin(x)\ln(x)$
you CAN ALWAYS invert the function numerically , try mathwolframalpha wolframalpha.com/input/?i=%5Cinv%7Bsin%28x%29ln%28x%29%7D
May
19
asked summation of this series as $ x \to \infty $ ??
May
18
comment Closed form for n-th anti-derivative of $\log x$
kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1692-02.pdf
May
18
answered solve non linear differential equation: $y'\cdot\alpha+y+\beta\cdot e^{\delta\cdot y}+\theta = 0$
May
14
answered How to integrate $\int_0^\infty \frac{1}{1+y^4} dy$