(0 cR-tgatios are atisfed
z=Z’ zYeal * Je) ic analtic at zeoe t
gl0 =g) is analuic at zeo.
14 is aralytie eveguhere
in entire function
t- Yqumentt
boundaries Coynutant
o, add 2 n-)times.
h
Mon -censtant entiye y unbounded
* log z e leg lel +i6
Ey sinz, co z, e.
CR eguatiors in polar fom:
isinglop) z=rele
’\f)-l<e. »Laplate eguation:
4
Diffientiabilty at z:
o)= lim fe)- fe
z-Zo * Harmonie Junction:
condifion :0} -’’ tontinutw
* Analytic fxn: Ofax fyy’ ContinuguL
Eg: z" sinz, cosz,
tanz (except
at o-ent) 2)
snalytie then uvis harice
*12, z ’not anayte are hartonje then
* C-R,equaten:
hamonic cenjagale
(ev)
Condition for CR equatin Ahanonie cojugate
z=Z’ zYeal * Je) ic analtic at zeoe t
gl0 =g) is analuic at zeo.
14 is aralytie eveguhere
in entire function
t- Yqumentt
boundaries Coynutant
o, add 2 n-)times.
h
Mon -censtant entiye y unbounded
* log z e leg lel +i6
Ey sinz, co z, e.
CR eguatiors in polar fom:
isinglop) z=rele
’\f)-l<e. »Laplate eguation:
4
Diffientiabilty at z:
o)= lim fe)- fe
z-Zo * Harmonie Junction:
condifion :0} -’’ tontinutw
* Analytic fxn: Ofax fyy’ ContinuguL
Eg: z" sinz, cosz,
tanz (except
at o-ent) 2)
snalytie then uvis harice
*12, z ’not anayte are hartonje then
* C-R,equaten:
hamonic cenjagale
(ev)
Condition for CR equatin Ahanonie cojugate
