hi, I do not know much about PDEs and programs like wolfram alpha and maple dont give me a solution.(adsbygoogle = window.adsbygoogle || []).push({});

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

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# I PDE with recursive relation

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