engineering recuitment HAL Management & Design Trainee Mock Test 2023 Engineering Mathematics Complex Variables Residue Theorem
यदि f(z) में z = a पर कोटि n का एक ध्रुव है, तो a पर फलन f(z) का अवशिष्ट क्या है?
1
\(\dfrac{1}{(n)!} \left\lbrace \dfrac{d^{n-1}}{dz^{n-1}}\left((z-a)^{n-1}f(z)\right)\right\rbrace_{z=a}\)
2
\(\dfrac{1}{(n-1)!} \left\lbrace \dfrac{d^{n-1}}{dz^{n-1}}\left((z-a)^{n-1}f(z)\right)\right\rbrace_{z=a}\)
3
\(\dfrac{1}{(n)!} \left\lbrace \dfrac{d^{n-1}}{dz^{n-1}}\left((z-a)^{n}f(z)\right)\right\rbrace_{z=a}\)
4
\(\dfrac{1}{(n-1)!} \left\lbrace \dfrac{d^{n-1}}{dz^{n-1}}\left((z-a)^{n}f(z)\right)\right\rbrace_{z=a}\)