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Jul
4
comment Singularities of complex functions.
Do you know the definition of a singularity?
Jul
2
awarded  Curious
Apr
27
comment Sum of product of binomial coefficents
I would not be able to see that ever. Thank you very much indeed.
Apr
27
comment Sum of product of binomial coefficents
Just a question, how do you get your first equality? I mean where you split the infinite sum into 2 infinite sums.
Apr
27
comment Sum of product of binomial coefficents
Yes, I forgot to write that $m\le n$. Thank you very much for the answer and for generatingfunctionology, I wasn't aware of its existence.
Apr
27
accepted Sum of product of binomial coefficents
Apr
27
revised Sum of product of binomial coefficents
added 13 characters in body
Apr
27
comment Sum of product of binomial coefficents
Oh! The question is "can this sum be simplified to something nicer?"
Apr
27
asked Sum of product of binomial coefficents
Apr
19
asked Laplace transform of a majorated function
Mar
19
comment Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?
@CameronWilliams just curious. How do you justify $\lambda f(t) = \int_0^{\infty} e^{-st}f(s)ds$? Why $f$ then the Laplace transform of $f$ is in the same space. Shouldn't we view one as a distribution?
Feb
26
accepted compactness in the space of analytic functions
Feb
26
comment compactness in the space of analytic functions
Thanks a lot! That is really helpful. I have a couple of questions though. If i choose $D$ is compact and get functions analytic on an open set containing $D$ with finite supremum, will this space work? Do I need a family of $K_n$'s, or I can get the same with just one compact set? And finally, where should I read about these Montel spaces? Do you have any text to suggest?
Feb
25
revised compactness in the space of analytic functions
edited title
Feb
25
asked compactness in the space of analytic functions
Feb
25
accepted Is this map a known one?
Feb
3
revised Prove or disprove that $\lim_{n→∞}\sup_{x∈R}⁡f_n (x) =\sup_{x∈R}⁡f(x)$
corrected arrows
Feb
3
suggested suggested edit on Prove or disprove that $\lim_{n→∞}\sup_{x∈R}⁡f_n (x) =\sup_{x∈R}⁡f(x)$
Feb
3
revised Can the Taylor remainder be bounded from below?
added 14 characters in body
Nov
28
comment convergence of analytic functions
You are right, I checked the bibliography and the requirements are mild. If there exists an integrable function $g:\mathbb{C}\to\mathbb{R}_+$ such that $|f_n(z)|\le g(z)$, then the limit is analytic.