Home ยป A complex function ๐(๐ง) = ๐ข(๐ฅ, ๐ฆ) + ๐ ๐ฃ(๐ฅ, ๐ฆ) and its complex conjugate ๐โ(๐ง) = ๐ข(๐ฅ, ๐ฆ) โ ๐ ๐ฃ(๐ฅ, ๐ฆ) are both analytic in the entire complex plane
A complex function ๐(๐ง) = ๐ข(๐ฅ, ๐ฆ) + ๐ ๐ฃ(๐ฅ, ๐ฆ) and its complex conjugate ๐โ(๐ง) = ๐ข(๐ฅ, ๐ฆ) โ ๐ ๐ฃ(๐ฅ, ๐ฆ) are both analytic in the entire complex plane
August 29, 2023
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Q. A complex function ๐(๐ง) = ๐ข(๐ฅ, ๐ฆ) + ๐ ๐ฃ(๐ฅ, ๐ฆ) and its complex conjugate ๐โ(๐ง) = ๐ข(๐ฅ, ๐ฆ) โ ๐ ๐ฃ(๐ฅ, ๐ฆ) are both analytic in the entire complex plane, where ๐ง = ๐ฅ + ๐ ๐ฆ and ๐ = โโ1 . The function ๐ is then given by