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Jan
29
comment Asymptotic solutions to generalized Airy equation
There are existed methods for finding these asymptotic solutions.
Jan
29
comment Asymptotic solutions to generalized Airy equation
Have you tried it for the case $n=3$?
Jan
28
comment Fourier series using Bessel function
Use the identity $\cos t=(e^{it} + e^{-it}) /2$.
Jan
28
revised Rodrigues formula Associated Laguerre polynomial
edited tags; edited tags
Jan
28
comment Rodrigues formula Associated Laguerre polynomial
I mean $L_{n}^{\alpha}(x)$.
Jan
28
comment Least squares approximation problem of $t^3$ in a subspace spanned by even degree polynomials.
@Michael Hardy: Thank you for the edit!
Jan
28
answered Least squares approximation problem of $t^3$ in a subspace spanned by even degree polynomials.
Jan
28
comment Rodrigues formula Associated Laguerre polynomial
Do you know how to derive it for $L_{n}^{\beta}$?
Jan
28
comment Rodrigues formula Associated Laguerre polynomial
Is your goal to find the Rodrigues formula of $L_{n}^{\beta}(x^2)$?
Jan
28
revised How to evaluate the limit $\lim_\limits{x\to 0+ } \frac{1}{\sqrt{x}}\left ( \frac{1}{\sin x} - \frac{1}{x}\right )$?
added 10 characters in body
Jan
28
comment How to evaluate the limit $\lim_\limits{x\to 0+ } \frac{1}{\sqrt{x}}\left ( \frac{1}{\sin x} - \frac{1}{x}\right )$?
@ElCid: Yes you are right!
Jan
28
answered How to evaluate the limit $\lim_\limits{x\to 0+ } \frac{1}{\sqrt{x}}\left ( \frac{1}{\sin x} - \frac{1}{x}\right )$?
Jan
28
comment Limit at Infinity: $ \lim\limits_{n\rightarrow\infty}n\left(1-\frac{1}{\ln(n)}\right)^n$
See this.
Jan
28
comment Calculating surface area
By the way in your first line what you mean by $x,y,0$?
Jan
28
comment Calculating surface area
Have you been taught the surface?
Jan
28
comment Calculating surface area
See here.
Jan
28
comment Find the extrema of a function
You are welcome!
Jan
28
comment Find the extrema of a function
you can simplify further $\ln(1/x)=-\ln x$.
Jan
28
comment Generating function for Pell numbers
@Kamil: See here.
Jan
28
revised Generating function for Pell numbers
adding more material