Calculus of Residua Complex Functions Theory a-2 Download free books at... 2 Leif Mejlbro Calculus of Residua Complex Functions Theory a-2 Download free eBooks at bookboon.com... Calcul
Trang 1Calculus of Residua
Complex Functions Theory a-2
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Leif Mejlbro
Calculus of Residua
Complex Functions Theory a-2
Download free eBooks at bookboon.com
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Calculus of Residua – Complex Functions Theory a-2
© 2010 Leif Mejlbro & Ventus Publishing ApS
ISBN 978-87-7681-691-9
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4
Contents
Contents
1.3 Expansion of an analytic function in a power series 22
Practical procedures for solving a linear differential equations of analytical
2 Harmonic Functions 55
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Contents
3 Laurent Series and Residua 71
3.3 Solution of a linear dierential equation by means of Laurent series 80
3.4.2 Case II, where an ≠ 0 for a nite number of negative n 85
3.4.3 Case III, where an ≠ 0 for innitely many negative n 87
3.5.2 Case II*, where an ≠ 0 for nitely many positive n 91
3.5.3 Case III*, where an ≠ 0 for innitely many positive n 92
3.7 Simple rules of computation of the residuum at a (inite) pole 94
4 Applications of the Calculus of Residua 111
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