20121218310

Przykłady:

1)	/(--) =	ł|	n = 1,2,...
/(;	)=rV		= /*" (cos(//^) + / sin (/7^?))
//(r.	*>) = r’	cos(/7^>), v(r,^)= r"sin(/7^).
2)	/|) =		= e^xe^iy = e^x(cos(y)+i sin(v))
^M(*^Y»	v) = <?^T	cos(y\ v(x,y)= e^x sin(y)
3)	/(*)=	sin
_ J_ *ł	[cos(.r)	[e~^y	- e^y)+ i sin (xj\e~^y + c^y)]

= sin(;r)cosh(v)+i cos(x)sinh(v)

4) f(z) = yfz = z^lln = r^l/ne^I<pln - jest n - znaczna

np.n = 3

/₀(z)=^^/3₎y;(z)=^'^M3

,/₂(z) = V^^+4!r)'