jsMath (Examples)

Complex Analysis Examples

Some examples taken from Applied Complex Analysis, by Henrici

---

p. 421

\int^1_\kappa \left[\bigl(1-w^2\bigr)\bigl(\kappa^2-w^2\bigr)\right]^{-1/2} dw = \frac{4}{\left(1+\sqrt{\kappa}\,\right)^2} K \left(\left(\frac{1-\sqrt{\kappa}}{1+\sqrt{\kappa}}\right)^{\!\!2}\right)

---

p. 425

\mathop{\rm grd} \phi(z) = \left(a+\frac{2d}{\pi}\right) v_\infty\, \overline{f'(z)} = v_\infty \left[ \pi a + \frac{2d}{\pi a + 2dw^{-1/2}(w-1)^{1/2}} \right]^-

---

p. 455

-\sum^n_{m=1} \left(\,\sum^\infty_{k=1} \frac{ h^{k-1} }{\left(w_m-z_0\right)^2} \right) = \sum^\infty_{k=1} s_k\, h^{k-1}

jsMath web pages Created: 14 Mar 2004 Last modified: Mar 15, 2009 1:02:08 PM Comments to: dpvc@union.edu

Differential Geometry Examples Examples of jsMath