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Jul
13
revised Nth derivative of $\tan^m x$
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Jul
13
revised Nth derivative of $\tan^m x$
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Jul
13
revised Nth derivative of $\tan^m x$
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Jul
13
revised Nth derivative of $\tan^m x$
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Jul
13
comment Nth derivative of $\tan^m x$
Could you please add or send a link how we can prove that generating function works? Thanks a lot for helps
Jul
13
comment Nth derivative of $\tan^m x$
Fantastic generating function you offered. Thanks. Can we find any orthogonal relation for polynoms via using that generating function? Maybe second order differential equation can be found by using it? Thanks for advice.
Jul
13
revised Nth derivative of $\tan^m x$
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Jul
13
revised Nth derivative of $\tan^m x$
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Jul
13
asked Nth derivative of $\tan^m x$
Jul
9
revised Orthogonal relation between divided functions.
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Jul
9
revised Orthogonal relation between divided functions.
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Jul
9
comment Orthogonal relation between divided functions.
@Iyengar: Yes. but I got very hard integral expressions when I try. Maybe someone can help to find their results if zero or not for $m \neq n$ .
Jul
9
comment Orthogonal relation between divided functions.
you are welcome . I am very much happy if you got the point.
Jul
9
comment Orthogonal relation between divided functions.
if m is not equal to n , $n-m$ will be negative or positive integer that different from zero. And we know $e^{2\pi ik} =\cos 2\pi k + i \sin 2\pi k $. if you put any integer for $k$ you will get $e^{2\pi ik} =\cos 2\pi k + i \sin 2\pi k =1$.
Jul
9
comment Orthogonal relation between divided functions.
@Iyengar: m=n is not condition. It is just info about the result if $m=n$. if $m$ is not equal to $n$ , it is really zero if you solve the integral $\frac{e^{2\pi i(n-m)1}}{2\pi i(n-m)}-\frac{1}{2\pi i(n-m)}=0$
Jul
9
reviewed Approve Orthogonal relation between divided functions.
Jul
9
revised How to transform a set of 3D vectors into a 2D plane, from a view point of another 3D vector?
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Jul
9
answered How to transform a set of 3D vectors into a 2D plane, from a view point of another 3D vector?
Jul
8
accepted Next generation numbers
Jul
6
answered Difference between permutation and combination?