Prove the following integration by parts statement: Let f and g be holomorphic in G, and suppose y C G is a piecewise smooth path from y(a) to y(b). Then [¸ƒg' = f(r(b))g(r(b)), f(r(a))g(r(a)) – S [ƒ'8.
Prove the following integration by parts statement: Let f and g be holomorphic in G, and suppose y C G is a piecewise smooth path from y(a) to y(b). Then [¸ƒg' = f(r(b))g(r(b)), f(r(a))g(r(a)) – S [ƒ'8.
Prove the following integration by parts statement: Let f and g be holomorphic in G, and suppose y C G is a piecewise smooth path from y(a) to y(b). Then [¸ƒg' = f(r(b))g(r(b)), f(r(a))g(r(a)) – S [ƒ'8.
Transcribed Image Text:Prove the following integration by parts statement: Let ƒ and g be holomorphic
in G, and suppose y C G is a piecewise smooth path from y(a) to y(b). Then
[¸ƒg′ = f(y(b))g(r(b))—ƒ(r(a))g(r(a)) —
g'
.
[ƒ'8.
Y
Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.
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