- #1
MAGNIBORO
- 106
- 26
hi, I do not know much about PDEs and programs like wolfram alpha and maple don't give me a solution.
it is possible to calculate the function through PDE?.
I would appreciate any help
$$\frac{\partial }{\partial a}f(a,b,n)+\frac{\partial }{\partial b}f(a,b,n)=-n f(a,b,n+1)$$
$$f(a,b,0)=\frac{\pi }{2} \: \; \, \,, \, \, \, f(a,b,1)=\frac{\pi }{2\sqrt{a b}}$$as we know ##f(a,b,1)## We can calculate ##f(a,b,2)\,,\,f(a,b,3),...##
But we could calculate closed form expression for ##f(a,b,n)## ?
thanks
it is possible to calculate the function through PDE?.
I would appreciate any help
$$\frac{\partial }{\partial a}f(a,b,n)+\frac{\partial }{\partial b}f(a,b,n)=-n f(a,b,n+1)$$
$$f(a,b,0)=\frac{\pi }{2} \: \; \, \,, \, \, \, f(a,b,1)=\frac{\pi }{2\sqrt{a b}}$$as we know ##f(a,b,1)## We can calculate ##f(a,b,2)\,,\,f(a,b,3),...##
But we could calculate closed form expression for ##f(a,b,n)## ?
thanks