Let QC C be the square region defined by Re(z), Im(z) = (0, 1). (a) Write down the Schwarz-Christoffel formula for mapping ♬ con- formally to Q. (b) Your map f: 5 H →Q has a biperiodic inverse F.¹ Determine a fundamental domain for F. [Hint: it's not Q.1

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Chapter6: Vector Spaces
Section6.4: Linear Transformations
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​​​​​​​complex analysis question, please give accurate proof

Let QC C be the square region defined by Re(z), Im(z) = (0, 1).
(a) Write down the Schwarz-Christoffel formula for mapping ♬ con-
formally to Q.
(b) Your map f: 5 →Q has a biperiodic inverse F.¹ Determine a
fundamental domain for F. [Hint: it's not Q.]
Transcribed Image Text:Let QC C be the square region defined by Re(z), Im(z) = (0, 1). (a) Write down the Schwarz-Christoffel formula for mapping ♬ con- formally to Q. (b) Your map f: 5 →Q has a biperiodic inverse F.¹ Determine a fundamental domain for F. [Hint: it's not Q.]
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