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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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