Suppose that f is a function of the complex variable z = x + iy given

by

f(x + iy) = (x^3 - axy^2 + 2x^2 - 2by^2 + 1) + i(cyx^2 - y^3 + dxy)

for some real constants a; b; c; d. It is known that f is entire. What are

the constants a; b; c; d?

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- March 18th 2009, 08:38 PMRichmondAnalysis Complex numbers
Suppose that f is a function of the complex variable z = x + iy given

by

f(x + iy) = (x^3 - axy^2 + 2x^2 - 2by^2 + 1) + i(cyx^2 - y^3 + dxy)

for some real constants a; b; c; d. It is known that f is entire. What are

the constants a; b; c; d? - March 19th 2009, 07:04 AMHallsofIvy