19 reputation
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visits member for 1 year, 11 months
seen Jan 15 '13 at 0:21

Undergraduate Electrical Engineering and Mathematics student. Aspiring graduate school. I want to understand the theory behind the calculus I am applying in my engineering courses to have a deeper intuition of how they relate.


Jan
13
awarded  Commentator
Oct
18
accepted How do I show the Wronskian of $(J_{a}(x),Y_{a}(x)) = \dfrac {2} {\pi x}$
Oct
16
comment How do I show the Wronskian of $(J_{a}(x),Y_{a}(x)) = \dfrac {2} {\pi x}$
What do you mean by that?
Oct
16
asked How do I show the Wronskian of $(J_{a}(x),Y_{a}(x)) = \dfrac {2} {\pi x}$
Oct
16
accepted How can I get $B(x,y+1)= \frac{y}{x+y} B(x,y)$ using integration by parts?
Oct
16
accepted How to find $\lim_{x \rightarrow -N} J_{a} = (-1)^N J_{N}$?
Oct
8
revised How to find $\lim_{x \rightarrow -N} J_{a} = (-1)^N J_{N}$?
edited title
Oct
7
comment How to find $\lim_{x \rightarrow -N} J_{a} = (-1)^N J_{N}$?
I don't understand how you get the last step in your final result. How does -N become +N ? I initially though you added k+N whenever there was k, but then I noticed that didn't work. Thanks!
Oct
7
revised How can I get $B(x,y+1)= \frac{y}{x+y} B(x,y)$ using integration by parts?
fixed grammar
Oct
7
asked How can I get $B(x,y+1)= \frac{y}{x+y} B(x,y)$ using integration by parts?
Oct
7
asked How to find $\lim_{x \rightarrow -N} J_{a} = (-1)^N J_{N}$?
Oct
7
awarded  Scholar
Oct
7
accepted How to show $\lim_{x \to -N} (x+N) \Gamma(x) $ =$(-1)^N/N!$?
Oct
7
comment How to show $\lim_{x \to -N} (x+N) \Gamma(x) $ =$(-1)^N/N!$?
Using some of these ideas, and trying to formulate my own answer based off of what I actually know, I got $lim_{x \rightarrow -N} (x+N) \Gamma(x)$ = $lim_{x \rightarrow -N} (x+N) \frac{\Gamma(x+N)}{(x)_{N}}$ = $lim_{x \rightarrow -N} \frac {\Gamma(x+N+1)}{x(x+1)(x+2)...(x+N+1)}$ =$ \frac{\Gamma(1)}{(-1)[N(N-1)(N-2)...1]}$ =$\frac{1}{(-1)(N!)}$ which is still wrong I think.
Oct
7
revised How to show $\lim_{x \to -N} (x+N) \Gamma(x) $ =$(-1)^N/N!$?
corrected spelling
Oct
7
comment How to show $\lim_{x \to -N} (x+N) \Gamma(x) $ =$(-1)^N/N!$?
I can follow your work easiest since this formula is in my reference sheet. I don't understand the purpose of making the y = x+n substitution. Is it necessary? Can it be done without it? For $\Gamma (1+n-y)$ it disappeared from your second line when you transitioned to the third line to $\Gamma (1+n)$. Wasn't the $sin(\pi y - \pi n) = (-1)^n sin(\pi y)$ in the denominator? How did the $(-1)^n$ get moved to the numerator?
Oct
7
awarded  Student
Oct
7
comment How to show $\lim_{x \to -N} (x+N) \Gamma(x) $ =$(-1)^N/N!$?
Thanks I will look into it. I am taking an undergraduate course in differential equations and we are using the gamma function for bessel ODE and we are using this notation. So I know nothing of the terminology that you used. I just have a sheet with gamma properties.
Oct
7
asked How to show $\lim_{x \to -N} (x+N) \Gamma(x) $ =$(-1)^N/N!$?
Oct
3
awarded  Editor