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 Mar 14 revised Bounding an “almost” Cauchy integral deleted 2 characters in body Mar 14 asked Bounding an “almost” Cauchy integral Feb 1 asked Artin approximation vs implicit function theorem in the class of analytic functions Nov 6 comment When does pointwise convergence imply uniform convergence? I think the proof doesn't work because the inequality $f(x_n) - f_m(x_n) \ge f(x_n) - f_n(x_n)$ should be the other way around. Aug 22 comment Finding the slope of a curve with a given point Do you know how to compute the derivative of a function? Do you know what it represents? Aug 10 comment Write a linear equation that represents this scenario. Is this homework? Aug 9 comment Picard's theorem analogue for difference equations? Ah, no. I look at this as a functional equation and that is why I write $x(t)$. I expect that if $f$ is analytic then there is an analytic solution for the equations (at least to some domain). You can think of it as the Gamma function which is an analytic function that satisfies $\Gamma(t+1)=t\,\Gamma(t)$. I understand that this is not unique but I am wondering whether I can get existence and some bound somehow. Aug 8 comment What is this expression means? $\sin^{-2}x$ Could be both. It's bad notation. You have to guess by context. Aug 8 asked Picard's theorem analogue for difference equations? Mar 24 comment Generating function of 1 over binomial Thanks! That helps a lot. Mar 24 accepted Generating function of 1 over binomial Mar 23 revised Generating function of 1 over binomial edited body Mar 23 comment Generating function of 1 over binomial Very true! Thanks. Mar 23 asked Generating function of 1 over binomial Jan 21 awarded Yearling Jan 7 comment a.e. convergence of a piecewise constant function $f_h(t)=\left\lfloor \frac{t}{h} \right\rfloor \cdot h$ The convergence is uniform. Just find a bound for $|t-f_h(t)|$. Dec 26 revised Changing the order of integration in the proof that Laplace maps convolution to multiplication added 229 characters in body Dec 25 revised Changing the order of integration in the proof that Laplace maps convolution to multiplication added 8 characters in body Dec 25 revised Changing the order of integration in the proof that Laplace maps convolution to multiplication added 8 characters in body Dec 25 revised Changing the order of integration in the proof that Laplace maps convolution to multiplication added 1 character in body