Recent content by vineel49

Homework Statement The original integral is $$\left[\int_0^{\infty} {\int_0^{\infty} {F(x + y,x - y) \cdot dx \cdot dy} } \right]$$ What should be the limits of the integrals. (position represented by '?' symbol) $$\left[\int_?^? {\int_?^? {F(u,v) \cdot (\frac{1}{2})du \cdot dv} }...

I did in the way u suggested, but I was left out with a 'U' variable. but the answer doesnot contain 'U' .

I started simplifying from $$\left[\int\limits_0^{Inf} {\int\limits_U^{Inf} {{e^{ - \alpha (V - U) - \beta (U)}} \cdot F(V + c) \cdot } } {(V - U)^d} \cdot {U^e} \cdot dV \cdot dU\right]$$ . Finally I coudn't reach right hand side of the equation. There is something wrong in...

Homework Statement Help needed in simplifying this one $$\left[\int\limits_0^{Inf} {\int\limits_0^{Inf} {{e^{ - \alpha X - \beta Y}} \cdot F(X + Y + c)} } \cdot {X^d} \cdot {Y^e} \cdot dX \cdot dY\right]$$ is equal to $$\left[\sum\limits_{i = 0}^d {d{C_k} \cdot } {( - 1)^{d - i}} \cdot \left[...

You have to use Jacobian Matrix and then solve. Here is the wikipedia link http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant

It is not that simple, I am trying since morning on this one.

F is a one to one function. Please simplify in such a way that the answer is left out with only a single Integral. Please simplify as much as possible. Leave the Function F as it is.

Homework Statement $$\left[\int\limits_0^{Inf} {\int\limits_0^{Inf} {e^{ - aX - bY} \cdot F(X + Y + c)} }\cdot X^d \cdot Y^e \cdot dX \cdot dY\right]$$ Homework Equations a,b,c are constants; d & e are non negative integers; X and Y are variables. F is a one to one function. Please simplify. The...

well, I figured it out. It means there are 12 zeros after the decimal point. I found this number in the "zeros and weight factors table for HERMITE POLYNOMIAL".

What does this "(12)" represent in the number 0. (12)22293 93645 534? what does this bracket say ??