Gottfried Helms
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14,094
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 Jul17 accepted Problem with infinite product using iterating of a function: $\exp(x) = x \cdot f^{\circ 1}(x)\cdot f^{\circ 2}(x) \cdot \ldots$ Jul15 accepted How can I prove that an iterated transformation describes all odd integers? May20 accepted What is the functional inverse (with respect to $h$ (!)) of $f^{\circ h}(x)={F(h) +x F(h-1) \over F(1+h) +x F(h) }$? May15 accepted Half order derivative of ${1 \over 1-x }$ May8 accepted $f(x)=\tanh(1+\tanh^{-1}(x))$ or $f:\tanh(x) \to \tanh(x+1)$ is a rational function? Apr16 accepted Sum of the Stieltjes constants? (divergent summation) Apr5 accepted Exercising divergent summations: $\lim 1-2+4-6+9-12+16-20+\ldots-\ldots$ Mar10 accepted Having $A_1=a+b+c$,$A_2=a^2+b^2+c^2$, $A_3=a^3+b^3+c^3$ - how to get $a,b,c$? Feb20 accepted How can I prove my conjecture for the coefficients in $t(x)=\log(1+\exp(x))$? Jan21 accepted How to relate this integral for the $\Gamma$ function to the defining integral of the $\Gamma$ Jan15 accepted Convergence radius of $\log(\Gamma(\exp(x)))$? Jan3 accepted Is my shorter expression for $s_m(n)= 1^m+2^m+3^m+\cdots+(n-1)^m \pmod n$ true? Dec28 accepted What is the derivative of a power series composed with a sum of iterations on x? Dec11 accepted When is $1+x+x^2+x^3+…$ and ${1 \over 1-x} \quad (x \ne 1)$ *not* interchangeable in an algebraic formula? Oct2 accepted $(2k+1)^{4k+1} = (2k+1) \pmod {4k+2}$ . . . why? Aug3 accepted Polynomial coefficients in exponential-series: how can I convert this into a composite of $\exp(x)$? Aug2 accepted Something like : “recursive” harmonic numbers? Where can I read more? Aug2 accepted What is the correct terminology to say that $\small f(x)=a+bx+cx^2+…$ can be expressed by $\small g(x)=A(1-x)+B(1-x)(2-x)+C(1-x)(2-x)(3-x)+…$ Jul2 accepted How can “ $\small {n \over \varphi(n) } \text{ is integer only if } n=2^r \cdot 3^s$ ” simply be shown? May5 accepted Is always $\small {rq-1 \over 2^B} \le q-1$ with natural r,q,B and $\small r,q \in \{1, \ldots, (2^B-1)\} , odd$?