Mapping properties of holomorphic and meromorphic functions

UokAB|HKJL@NMABPd}YZ[~]_^a`Gb":LQGUokABQSMAT€9UWVN:XT0‚KxƒB|dWkJX@C@XUWkAVNTA„.:LQGUyxz:!9;:=>AVNBud3:XQGUWkABz9;:X<?>A@NB;D

>A@vJLTB.x…kA:=dWB.>€:=VCT†U‡d6JLfoBˆ@NJXi€Bu@CBPO‰`l[‹ŁjŒŽIJLTOYZ[‹‘’ŒŽr“”foBudW>wBu9UoVCH=BE@N•X‚JXTO

xzBˆ@C:G:X„–MA>€:=Tffi]ffiJXd…J?<sJX>A>AVNTAejQSfW:=<UWkABn`XF—>A@NJXTAB˜VCT†UW:?UokABlY…FI>A@vJLTBXp

™

U‡JLfWUWVNTAeˆQSfo:X<<sJL>>AVCTe=d{iG•c9E:XT†UWVNTGMA:XMdW@N•cOtVCšwBufWBuT=UoVNJXiA@NBmQSMAT9UoVC:=Tdu‚L›f‡dyUxzB…dhk€JL@N@

BEDG>@C:=fWBˆ>Afo:X>wBEfWUWVNBudm:XQœ<?BEfo:X<?:Xfo>AkAVv9!QSMAT9UoVC:=TdmUokJKU!JXfWBˆ:LQ_@N:G9uJL@+TJLUWMAfoBX‚GUokJKU6Vvdu‚

UokABE•OtBu>€BuTO-:XTA@N•R:XTUokABžHŸJX@CMBudj:LQ˜]*VNT-JTABuVCe=k†iw:XMfWkA:G:tO :XQ!`u¡=‚|doJŸ•X‚{VNTUWkB

Ot:=<sJLVNT5:XQ6OtB;›TV¢UoVC:=T :LQ6]ŽJXTO5UWkABuTRUWMAfoT5UW:‰UokABs>Afo:X>wBEfWUWVNBud.:XQmdWM9‡kRQSMAT€9UWVN:XT€d

£

VCT¤UWkAB6@vJLfoeXB=¥LiG•lBEDAJL<?VCTVCTAeckA:KxZ]¤UofoJXTdhQS:Xfo<?d_@NVNTABudu‚†9EVCf‡9;@NBudƒJLTO?:XUWkABufƒ9EMAfWH=Bud{VNT

UokAB˜`XF—>A@NJXTAB6VNT†UW:.UokAB.Y…F—>A@NJXTABXp}q—UƒVvdƒB;Dt>€BP9UoBuOsUokJKUƒUWkABPdhB!Uyxƒ:l>€:=VCT†U‡d|:XQ3H†VNBExx…VN@N@

e=VCH=B…UWkAB!fWBPJXOtBuf|JˆQaJLVNf|VNT†UWMAVCUWVNHXB!MATOtBufodhUoJXTOtVNTAen:LQ+kA:=@C:=<?:Xfo>AkAVv9…JLTO?<?BEfo:X<?:=fWkAVv9

QSMAT€9UWVN:XT€dEp

¦3§6¨h¦ ©ª|«ƒ¬A­h«m®6ª|®°¯G±r²’³!­h´‡´oµ0¶Aµ0«…¬A­h·}¸˜±yµ

¹

·_º°º°­h«!»|¯

¼+½¾—¼}¾—¼ ¿LÀ}ÁœÂwÃ=Ä=ÅIÆzÇIÂÇ—ÅIÀƒÂwÈ3ÝɋÈ0ʃÊmÅ—À|Ë}Ìt¾ÍžÎ|Â%Ë}ÂwÀƒÂwÃ=È0ǘπÈ3ÌLÂ

8Ð>JXVCf…:XQœUyxz:jfWBPJL@CFIHKJL@NMABPO¤QSMAT€9UWVN:XT€d

Ñ

[

Ñ

^SŁ0ÒWAbÒÔÓ?[Ów^aŁ0ÒWtb

OtBE›TABPO¤VNTJc9EBEfWUoJXVCT¤Ot:=<sJLVNT¤VCT–UWkAB˜Ł0ÒW†FI>A@vJLTB°9EJXT¤iwB°VNT†UWBEfo>AfoB;UoBuOsJXdzJn<sJX>A>AVNTAe

QSfo:X<7UokAB°ŁœÒh†F—>A@NJXTAB˜VCT†UW:lUWkB

Ñ

ÒhÓ=FI>@NJXTABXp

™

MA>>€:†dhB°UWkABˆ>w:XVNT†Uˆ^aŁ

¡

Òh

¡

b>J=dWdWBudƒVNT=Uo:

^

Ñ

¡

ÒhÓ

¡

b‚tUokJKU6VvdE‚

Ñ

¡

[

Ñ

^aŁ

¡

Òh

¡

bÒÔÓ

¡

[Ów^aŁ

¡

Òh

¡

bÕ

Ö

fW:KHGVvOtBuOffiw:LUokffiQSMAT9;UWVN:XTd

Ñ

[

Ñ

^aŁ0ÒWtb°JLT€O‰Óž[Ów^aŁ0ÒhAb°JLfoBl9E:XT†UWVNTGMA:XMdW@N•žOtVCš"BEfWF

BuT=UoVNJXiA@NB°@N:t9EJL@N@N•ff^aVCTžJcTBEVNeXkGi€:=MAfokA:G:GO¤:LQƒ^aŁ¡XÒWL¡PbWb‚GUokAB°<sJX>A>AVNTAej9uJLTi€BˆJL>A>fW:ŸDGF

×X؆Ù

VN<sJKUWBPOži†•¤UWkAB.@NVCTBuJLf…<sJX>A>AVNTAe

:

Ñ

[

Ñ

¡ƒŒ<;==X^SŁ#>5Ł¡Ÿb0Œ?;7=A@=^SB>X¡Pb ^ACDAp!CPb

:

Ó¤[‹Ó ¡ Œ?; @= ^aŁ#>Ł ¡ bœŒ<; @/@ ^aE>5 ¡ bÒ ^ACDAp

×

b

x…kABufWB

; == [GFIH

Ñ

^SŁ ¡ Òh ¡ bÒJ; =A@ [KFIL

Ñ

^aŁ ¡ ÒW ¡ b ^ACDAp M=b

; @= [NFIHXÓw^aŁ ¡ Òh ¡ bÒJ; @/@ [NFILŸÓ"^SŁ ¡ ÒW ¡ b;Õ ^ACDAp O†b

P

:=TdhVvOtBuf…>€:=VCT†Uod.^aŁ0ÒWtbz:=TžUWkABn9EVCf‡9;@NB°x…VCUWk‰f‡JXOAVCMdRQt‚9EBET†UWfoBuOžJKUn^SŁ€¡=ÒWL¡Pb;p{qrT‰9EJXdWB

S

S

S

S

;7=/=T;7=U@

;V@=T;V@/@

S

S

S

S

W[KDAÒ

UokABndh•tdhUWBu<^ACDAp!CPb‚+^UC7DAp

×

bz9uJLTži€B.dW:X@NHXBuO¤QS:Xfn^aŁ#>Ł

¡

bzJLT€O^aX>

¡

b‚x…kABEfoB°iw:LUok

Y

MJXT=UoV¢UoVCBPd6JLfoB˜@CVNTABuJXf…B;Dt>AfoBudodhVN:XT€dƒVNT ^

:

Ñ

>

Ñ

¡

bmJLT€O^

:

ÓX>5Ó

¡

b;pZmkABETžUWkB.B

Y

MJKUoVC:=T

^aŁ#>5Ł

¡

b

@

Œ‹^SE>

¡

b

@

[ Q

@

@NBuJ=OAd_UW:lJ

Y

M€JXOtf‡JKUoVN9mfoBE@vJKUoVC:=TjVNTffi^

:

Ñ

>

Ñ

¡

b{JXTOff^

:

Ó\>¤Ó

¡

b{JLTO3‚XUokABEfoB;QS:=fWB=‚KUWkAB°VC<sJXeXB

:XQ}UokABn9;VNf‡9;@NBˆUWMAfoTd…:=MtU…UW:¤iwBnJLT< ffi]ffi' fi( j^adWVNT9;B

:

Ñ

JXTO

:

ӐJXfWBˆiw:XMATOABuOžUWkBnVC<sJXeXB

9EMAfWH=B˜9uJLTAT:LU…i€B.JjkG•G>€BufWiw:X@vJc:=f…Jc>JXfoJXi€:=@NJ†bp^ZmkABuT–UokAB.d

Y

MJXfWB˜:LQœUWkAB.OtVvdyU‡JLT9EB

:XQœUokAB.VC<sJXeXBˆ>€:=VCT†U‡d.^

:

Ñ

Ò

:

ÓtbƒQSfW:=<UWkABn9EBET†UWfoBs^

Ñ

¡

ÒWÓ

¡

bz:XQ0UWkB.BE@N@CVN>dWB.VNdme=VCH=BETži†•

^

:

Ñ

>

Ñ

¡

b

@

Œ‹^SÓE>Ó

¡

b

@

[

_

;==L^SŁ`>5Ł¡Ÿb0Œ?;7=A@=^SB>X¡PbAa

@

Œ

_

;V@=K^aŁ#>Ł€¡ŸbœŒ<;V@/@X^aX>5L¡PbUa

@

Õ

b

Bux…fWVCUWVNTAe?Ł0ÒW–VNTžUWkABˆQS:=fW<

Ł#>Ł€¡˜[NQ_9E:=dIc_ÒԏX>5L¡°[NQ_dWVCT\c_Ò

UokAVNd6B;Dt>AfoBudodhVN:XTi€BP9;:X<?BPd

Q

@ed

^;=="9E:=dfcsŒ<;=A@3dWVNT c+b

@

Œ‹^;V@=+9E:=dfcsŒ<;V@/@3dWVCT c3b

@Vg

Õ

h

BETA:XUWVNTAe?UWkVNd…BEDt>AfWBPdWdWVN:XT–iG•3Q

@

]_^ic3b‚JXTOžVCT†UofW:tOtM9EVCTelUokABnJLiiAfWBuHGVNJLUWVN:XTd

;

@

==

Œ?;

@

@=

[Nj¤ÒJ;7==;7=U@|Œ<;@.=;V@/@![GkmÒJ;

@

=U@

Œ?;

@

@/@

[Gl?Ò

:=TABˆeXB;U‡d

]_^ic3b|[Nj 9E:=d

@

csŒ

×

k5dWVCT cˆ9;:†dfc?Œ?lRdhVNT

@

c_Õ

:LUWBjUokJKUn]_^ic3b°VNd°UokABsd

Y

MJXfWBl:LQUokAB$ 4 Bff3$

6/$0 0ff:LQ|UokABj@CBuTAeLUok:XQƒJ

H=Bu9Uo:XfPpƒ•–<?JX„GVCTAe?MdWBˆ:LQ}UWkAB.foBE@vJKUoVC:=Td

dhVNT0^

×

c3bƒ[

×

dWVCT cˆ9;:†dIc

9;:†dE^

×

c3bƒ[ CT>

×

dhVNT

@

c‰[

×

9E:=d

@

c> CXÒ

UokAB.@NJ=dyU6BEDt>AfWBPdWdWVN:XT9uJLTži€B.foBEx…foVCUhUWBuTžJ=d

]_^ic3b|[

C

×

^jZŒ?lnb0Œ?k5dWVNT0^

×

c+bœŒ

C

×

^j > lnbA9;:=dP^

×

c3bÕ

™ VNT9EB!UokAB˜dWVNTAB˜JXTO?UokAB˜9E:=dWVCTB6QSMAT9;UWVN:XTdmJXfWB°@CVNTABuJXfW@N•jVCTOABE>wBETOtBuT†Uu‚GUWkB

Y

MJXT=UoV¢Uy•

]_^c+bzVvd…VNTOtBu>€BuTOtBET†U6:XQ-cffiVCQJLTO:XT@C•¤VCQ

k [GD JLT€O j[Kl?Õ ^ACDAp Xb

qrT‰UokAVvd!BEDt9EBE>tUoVC:=TJL@œ9EJXdWBX‚€UWkB QŸF—9EVCf‡9;@NBcJLfo:XMTOR^SŁ

¡

Òh

¡

b…>€JXdodhBPd…VCT†Uo:–J¤9;VNf‡9;@NBnx…V¢Uok

f‡JXOtVNMd

Q jsÒ ^ACDAp =b

9EBET†UWfoBuOžJKUc^

Ñ

¡=ÒhÓK¡Pb;p

Dt9E@CM€OtVCTecUokAB.B;DA9;Bu>tUWVN:XT€JL@+9EJ=dhB?^ACDAp Xb‚†UokABˆVC<sJLe=B.9;MAfoHXB°VNd…JXTBu@C@NVC>€dhB˜QS:Xfmx…kAVv9‡k

UokABn@NBETAeXUWkd!:LQ_V¢U‡d!JKDtBPd…OtV¢š"BEf!QSfW:=<’BPJX9‡kff:LUokABEfPp

B;DGU!xzBnJLfoB.eX:XVNTAejUW:9EJL@v9;M@NJLUWB

UokAB

Y

MA:LUoVCBuT=U6:XQ0UokABudWBˆUyxƒ:?@NBETAeXUWkdup

™

VNT9;B

]I^ic3b[KD

@NBuJ=OAdzUW:

UoJXT0^

×

c3b[

×

k

j > l

Ò ^ACDAp

Ù

b

UokABlBEDt>AfWBPdWdWVN:XT]_^c+b!Vvd!BED†UofWBu<sJL@}V¢Q cdoJKUoVNdh›BPd6UokABl@vJXdhU°foBE@vJKUoVC:=TŽ^ACDAp

Ù

b;p°q—Q…]_^ic3b

Vvd|BEDGUWfoBE<sJL@€QS:XfRcff[GcL‚†UWkABuT–VCUƒVvdƒJX@NdW:nBED†UofWBu<sJL@€QS:Xf c![Nc|Œ

×

^SiwBu9EJXMdWB6UWkB

dWVCTBcJLTO‰9E:=dWVCTBˆQSMAT9UoVC:=Td6k€JŸHXBˆUWkBn>€BufWVN:tO

×

‚€x…kAVC@NB.UokABnU‡JLTAe=BET†U…QSMAT9;UWVN:XT‰kJ=d

UokAB.>€BufWVN:tO

bp6>w:XTffVNT†UWfo:GOAM9;VNTAejUWkABnJXiAiAfoBEHGVvJKUWVN:XT

^j > lnb

@

ΠO k

@

[Ò

B

Y

M€JKUWVN:XTR^ACDAp

Ù

bĥGVCBu@NOd

dhVNT0^

×

cEbƒ[

×

k

Ò 9E:=du^

×

cub[

j > l

Ò

dWVCTœ^

×

cub[ >

×

k

Ò 9E:=du^

×

cub[ >

j > l

Õ

P

:=TdhB

Y

MABET†UW@N•X‚GUokAB.B;DGUofWBu<?JX@+HKJL@NMABudm:XQ{]_^c+bmJXfWB˜eXVNHXBuTiG•

]_^ic

b[

C

×

^j‹Œ<lnbœŒ

×

k

@

Œ

C

×

^j > lnb

@

[

C

×

^j‹Œ?lnb0Œ

C

×

JXTO

]_^icub[

C

×

^jZŒ<lnb^>

×

k

@

>

C

×

^j > lnb

@

[

C

×

^jZŒ?lnb1>

C

×

Õ

ZmkAB

Y

MA:XUWVNBET†U…:LQ}UWkAB.@NBETeLUWk€dm:LQ}UWkABnJLDGBPdm:LQœUWkAB.VN<sJLeXBˆBu@C@NVC>€dhBˆVvd…kABET€9;B.B

Y

MJX@"UW:

jZŒ<lZŒ

jZŒ<l >

Õ ^ACDAp

Ø

b

ZmkAVvdƒB;Dt>AfoBudodhVN:XTsVvd|9uJL@N@CBPO?UWkAB ]ffi $0 $0 0?:LQ+UWkB!<sJL>A>VCTAelMATOtBufz9E:XTdWVvOtBEf‡JKUoVC:=T?JLU

^aŁ¡†ÒhL¡ŸbpkABET D‚LUWkB6OtVC@vJKU‡JKUoVC:=TlUoMAfoTd{:XMAU{UW:.iwB…TA:LUƒdW<sJL@N@CBuf_UWkJXTCXp

:LUoB

UokJKU…UokABnOtVN@NJLUoJKUoVC:=TVvd…B

Y

M€JL@"UW:C.VNT–UokAB.B;DA9EBE>tUoVC:=TJL@39uJXdWB?^UC7Dp =bp

¼+½¾—¼}¾ ÍžÎ|Â*Âπ€ʃÄ=Å_À|È0LjπÈ3ÌLÂ

qrTffHGVCBux‹:XQœUokABnOtB;›€TAV¢UoVC:=Td…:XQ-js‚k JLT€Ol?‚tUokAB.B

Y

MJLUWVN:XTd.^UC7Dp =b|iwBu9E:X<?B

;

@

==

Œ?;

@

@=

[N;

@

=U@

Œ?;

@

@/@

^ACDAp

b

JXTO

;7=/=;7=U@ƒŒ?;V@=;V@/@°[NDÕ ^UC7Dp CD=b

ZmkABˆ›€fodhU…B

Y

MJKUoVC:=T•GVNBE@vOAd

;

@

=/=

> ;

@

=U@

@

[

;

@

@/@

> ;

@

@.=

@

x…kAVN@NBˆUWkABndWBu9E:XTO:XTABˆe=VCH=Bud

;

@

==

;

@

=A@

[K;

@

@=

;

@

@/@

Õ

M@¢UoVC>A@N•GVCTe?UWkABˆ@vJKUhUoBEf…B

Y

M€JKUWVN:XTiG•#O‚AJXTO¤UokABET‰J=OAOtVNTAelVCU…UW:jUokABˆ>AfWBuHGVC:=Mdz:XTAB=‚

VCU…QS:X@N@C:Kx6d

;

@

==

Œ<;

@

=U@

@

[

;

@

@/@

Œ?;

@

@=

@

Ò

UokJKU6VvdE‚

;

@

=/=

Œ?;

@

=A@

[K;

@

@/@

Œ?;

@

@.=

Õ ^UC7Dp C8CPb

P

:=<j>€JLfoVCTAeff^ACDAp!C5CŸb|x…VCUWk ^UC7DAp

b;‚t:XTABˆe=B;Uod

;

@

==

[K;

@

@/@

Ò

UokJKU6VvdE‚

;

=/=

[ ;

@@

Õ

q—Q^; =/= W[ND‚GUWkABuT^AC7Dp CD=b|eXVNHXBPdE‚tJXOOtV¢UoVC:=TJL@N@N•X‚

;

=U@

[ ;

@.=

Õ ^UC7Dp C

×

b

q—Q^;7=/=6[ND‚GUWkABuT^AC7Dp C8CPb|•GVCBu@NOAd.^UC7Dp C

×

bzJLe†JLVNT3p

qrT‰dWMA<?<?JXfW•=‚GUWkABˆQS:=@C@N:Kx…VNTAejdhUoJLUWBu<jBuT†U6kJXdmiwBEBuTž>fW:KH=BuO

ffflfiffi! "#ffi!$&%('*)

9 ]ffi $0 $0 0 $E. ] 0I(ffi'&e +fl $-,ffi ff3$/fi8fi]

*( /.V$0ffi

0 B B$ ffi'&` B % B]9 X0 #(.&)( VffE(E Tfi $0$0ffi +fl $ffi^ 1.$ (E$

($*( R .`$0z^aŁ¡†ÒhL¡Ÿb2

FIH

Ñ

[GFILŸÓwÒ FIHKÓ?[ > FIL

Ñ

FIH

Ñ

[ > FILŸÓ€Ò F HXÓj[NFIL

Ñ

Õ

¼+½¾—¼}¾ È0ÇIσÇIÈ+Ä=Å_À .Ä=΃Â%È0ÀƒË}ÇI là œÄXÈ+Ä=Å_À

P :=TdhVvOtBuf6JLe=JXVCT–UWkAB.@NVNTABuJXfWVuJLUWVN:XT

:

Ñ

[

Ñ

¡ Œ?; =/= ^aŁ`>5Ł ¡ bœŒ<; =U@ ^aE>5 ¡ b

:

Ó¤[~Ó ¡ Œ?; @.= ^SŁ#>5Ł ¡ b0Œ?; @/@ ^SE>R ¡ b

:XQmJff9;:=T†UWVNT†M:XMdW@C•ffiOAV¢š"BEfoBET†UWVvJLi@CB?<sJL>A>VCTAe

Ñ

[

Ñ

^SŁ0ÒWAb‚0Ó[ Ó"^SŁœÒhAbˆJKU–^aŁ¡†ÒhL¡Pb

^ dhBuB|QS:=fW<lMA@NJXB!^ACDAp!CPb;‚G^UC7Dp

×

b+VNT ™ MAidWBu9;UWVN:XTC7DAp!CXp!CPb;p3qrT ™ MidhBP9UoVC:=T`C7Dp C=p C=‚uxzBƒ9uJL@CF

9EMA@NJLUWBPO.UWkBzf‡JKUoVC:°:LQ<sJXeXTAVC›€9EJLUWVN:XTn:XQAUWkBƒ@NBETAeXUWkd}:XQHXBP9UW:=fod0MATOtBuf}UWkABm@NVCTABPJLfoVuBuO

<sJL>>AVCTepffiqrTRUokABdWB

Y

MABu@|xzB–dhk€JL@N@z9uJL@v9;MA@vJKUoB?UWkABžJL<?:XMAT†UciG•Rx…kAVv9‡kRUWkABžJLTAe=@CBPd

iwB;UyxzBEBuT‰HXBu9;UW:=fod…JXTOžUWkABcfWBPJL@0JLDGVvd6JXfWBˆfo:LUoJLUWBPO+pƒqrT‰>€JLfWUWVv9;MA@vJLfP‚AxzBndhkJX@C@œJLTdWxƒBuf

UokAB

Y

MBudhUWVN:XTffiMAT€OtBEfˆx…kJLUˆ9E:XTOtVCUWVN:XT€d!UokAB?OtBudWVCfoBuOJL<?:XMT=U.Ot:GBud°TA:XUˆOtBu>€BuTO:XT

UokABnOtVNfWBP9UWVN:XTž:LQ}UWkB.HXBu9;UW:=fodup

8°d…VCT ™ MidhBP9UoVC:=T CDAp!CXp!CX‚t9;:=TdWVNOtBuf…>€:=VCT†U‡d6`?:XTUWkABn9EVCf‡9;@NB.x…VCUWkfffoJ=OtVNMd6Ql9;BuT†UWfoBuO

JLU!`u¡°[Ł¡zŒ—L¡X‚AUWkJLU6VNdu‚

` >R`P¡°[^aŁ#>5Ł¡Kb0Œ ^aX>5L¡Pb[NQA^a9;:†dfc?ŒGdhVNT\c+bƒ[ Q_B;Dt>3^S c3bÒ

x…kABufWBflcVvd{UokAB°JXfWe=MA<?BET†U:LQ3`R>–`

¡

p^ZmkABET

:

>

¡

[ ^

:

Ñ

>

Ñ

¡

bGŒž^

:

Ó >–Ó

¡

b{Vvde=VCH=BET

iG•

^;7==|Œ ;V@=;bE^SŁ`>5Ł¡Ÿb0Œ‹^;7=U@ƒŒ ;@@Pb;^SB>5L¡Pb[

C

×

^;==Œ;V@=R>;7=U@ƒŒ?;V@@Pb;^ ` >5`P¡Ÿb0Œ

C

×

^;7=/=Œ ;@.=Œ;7=U@\> ;V@/@ub ^a` >R`P¡Pb

iwBu9uJLMdWB

^SŁ#>5Ł

¡

bƒ[

C

×

_

^ ` >R`

¡

b0Œ ^ ` >R` ¡

b

a

^SE>L¡Ÿbƒ[



×

_

^ ` >R`u¡Pb1>*^ ` >R`u¡ŸbAa_Õ

™

VNT9EB

^a` >R`P¡Pb[NQ}BEDt>3^A>… c3bÒ

UokAB

Y

MA:LUoVCBuT=U

:

>

¡

` > `P¡

9EJXTiwB.B;Dt>AfoBudodhBPO–iG•

C

×

d

^;7=/=Œ ;V@=R>5 ;=A@ƒŒ?;V@/@ub0Œ‹^;==Œ;V@={Œ ;7=U@\> ;@@ŸbGB;Dt>0^U>

×

 c3b

g

Õ^UC7Dp CM=b

kAVN@NB‰UWkABffiJXidW:X@NMtUWBffHKJL@NMAB‰:LQ˜UWkB‰B;Dt>AfoBudodhVN:XTÐ^ACDAp!C7M=bceXVNHXBPdjUWkAB‰f‡JKUoVC:R:XQ˜<sJLeXF

TAVC›€9uJKUWVN:XT0‚6V¢U‡dffJLfoeXMA<?BET†U–VvdB

Y

MJL@°UW:ŽUWkABN$

ffi! 4/ $ p ZmkABB;Dt>AfoBudodhVN:XT

^UC7DAp!C7M†bOAB;›TABPd J~9EVCf‡9;@NB*x…V¢Uok”f‡JXOtVNMd

=

@

;

=/=

Œ ;

@=

Œ ;

=U@

> ;

@/@

9;BuT†UWfoBuO JLU

=

@

^;7=/=Œ;V@.=\>;7=U@|Œ<;@@Pbp{q—U6Vvd…VCT€OtBE>wBETOABET†U6:LQ1cVCQ_JXTO:XTA@N•¤VCQ

;7=/=Œ ;@.={Œ;7=A@\> ;V@/@°[NDÒ

UokJKU6VvdE‚

;

=/=

[G;

@/@

JLT€O ;

@.=

[ > ;

=U@

Õ

™

VNT9EB‰UWkAB9;:GB¤9;VNBET†U‡d#;‰:XQ°UokABffi@NVCTBuJLfoVuJKUoVC:=T*9uJLTiwB‰B;Dt>AfoBudodhBPO*i†•ŽUWkAB>JLfWF

UoVNJX@}OtBufWVNHKJKUoVCH=Budn^ 9Qyp…UokABnQS:=fW<lMA@NJXB–^ACDAp M=b…JXTO ^ACDAp O†bmVNT

™

MAi€dhBP9UWVN:XT?C7DAp!CXp!CPb;‚tUWkB

QS:=@C@N:Kx…VCTe?dhUoJLUWBu<jBuT†Umk€JXdmiwBEBETff>Afo:KHXBPO

ffflfiffi! "#ffi!$&% )

9 ffi']% /$0$ $ . ] I(ffi'& 0 +fl V/ V$ ,Vffi 4ff $.fi5fi%]

$0

^aŁ ¡ Òh ¡ b# 0 $0 V( / .( ,& $N$

ffi 0,9f/9?*(#]8 fi 5 X 3i9 ] . 0G

i9 ) . 0 X$%` 0ffi'&3 i9 e(&)( ff

F H

Ñ

[GF L ÓwÒ F H Ó?[ > F L

Ñ

*( ($*( R .`$0z^aŁ ¡ Òh ¡ b+

ffi $ "

ZmkAB¤JLTAe=@CBjiG•x…kAVv9‡k5HXBu9;UW:=fodˆJLfoB?fW:XUoJLUWBuO5OtBu>€BuTOAdu‚0:LQm9;:=MAfodWBX‚0:XT

UokAB.>€:=VCT†Uc^aŁ ¡ Òh ¡ bp

ffi $ "

qrT¤HGVNBEx:XQ,ZmkABE:=fWBu<

×X×

:XQ ™ Bu9;UWVN:XT

×

p C=p M‚ ZmkBE:XfoBE< C°VC<?>A@NVNBudƒUWkJLU

Ñ

Œ¤—Ó.Vvd{kA:=@C:=<j:=fW>kAVN9zVNTs9EJXdWBmBEH=BEfo•†x…kBEfoB|UokAB…@CVNTABPJLfoVPJKUWVN:XT€d_:LQwUWkAB69E:XT†UWVNTGMA:XMdW@N•

OtVCš"BEfoBET†UWVvJLiA@NBffi<sJL>>AVCTe

Ñ

[

Ñ

^aŁ0ÒWtb;‚mÓ~[ Ó"^SŁ0ÒWAb?fW:XUoJLUWBud¤HXBu9;UW:=fod?iG•-J ›ADtBuO

JX<j:=MAT†U…TA:LU!OtBu>€BuTOtVNTAes:XTUWkBnOtVCfoBu9;UWVN:XTž:LQ}UWkAB.H=Bu9;UW:Xf‡dup

ffi $ "

86@CUWkA:=MAeXkˆUokAB|foB€Bu9UoVC:=T

[ `…>AfoBudWBEfoHXBPd+JLTAe=@CBPd+iwB;UyxzBEBET.OtVNfoBu9UoVC:=Tdu‚

UokAB–JLTeX@NBs:LQmfW:XUoJKUoVC:=T5OABE>wBETOAdc:XT5UWkB–OtVNfWBP9UWVN:XT0p–q—QTc%[ DA‚œUWkABuTRUWkAB¤JXTAeX@NBs:LQ

fo:LU‡JKUWVN:XTžVvd…JL@vdh:?B

Y

MJX@"UW: EBufW:€pA:XfTc‰[

×

UWkBnJLTAe=@CBˆ:LQ}fW:XUoJLUWVN:XTžB

Y

MJL@vd

p

P

:=<j>€JLfoVCTAecUWkAB.dhUoJLUWBE<?BuT=Um:LQ-ZmkABE:=fWBu< C°x…VCUWkUWk€JKUm:LQ,ZmkABu:XfoBE< 8Dn:LQ

™

MAidWBu9;F

UoVC:=T CDAp!CXp

×

‚G:XTB˜e=B;U‡dzUWkABˆQS:=@C@N:Kx…VCTe?9E:Xfo:X@N@NJXfW•

" "

fiff

fi5fi )( i9 flffi'] .$$0 0 fl$X. 0] I(ffi'&X0 +fl V$ ,Vffi! ff $.fifl

fi%]

$ˆ^SŁ€¡=ÒWL¡Pb# $ (ffi .V .( ,& $[$ff3 f 0,9I.9 5 (#% 8 fi ]9

0] .V [ B]9 ffi .V .(+

)

9 <i9 `0]ffi $$ [ Bi9 3ff3$/fi8fi]

*(# /.V$0ffi- C$0

^aŁ

¡

Òh

¡

b+

¼+½¾—¼}¾ !ffiÆÅIÂ"À}ÄXÈ+Ä=Å_À"EÊzƀÌLÂwÃ=Á|ÅIÀƒËÉ~È3ʃÊmÅ—À|Ë}Ì

#

T9EBˆ<j:=fWB=‚A9;:=TdhVvOtBufmUWkAB.@NVCTBuJLfoVuJKUoVC:=T

:

Ñ

[

Ñ

¡

Œ?;

=/=

^aŁ`>5Ł

¡

bœŒ<;

=U@

^aE>5

¡

b

:

Ó¤[~Ó

¡

Œ?;

@.=

^SŁ#>5Ł

¡

b0Œ?;

@/@

^SE>R

¡

b

:XQmJff9;:=T†UWVNT†M:XMdW@C•ffiOAV¢š"BEfoBET†UWVvJLi@CB?<sJL>A>VCTAe

Ñ

[

Ñ

^SŁ0ÒWAb‚0Ó[ Ó"^SŁœÒhAbˆJKU–^aŁ¡†ÒhL¡Pb

^ dhBuB…QS:Xfo<cMA@vJLBn^UC7Dp CŸb‚€^UC7Dp

×

b}VCT

™

MidhBP9UoVC:=T C7DAp!CXp!CPb;p 5B6TABEDGUƒOtBu9EVNOAB6MATOtBuf|x…kJLU

9E:XTOtVCUWVN:XT€dzUWkAVvdm<sJL>A>AVNTAejVNdm:=fWVNBET†U‡JKUWVN:XTAFI>AfoBudWBEfoHGVCTep$:XfmUWkVNdm>AMfW>w:=dWB°xzB.9EJX@N9EMtF

@vJKUoB{UWkAB|UoJXTAeXBuT=Uœ:LQGUWkAB|>€:=@NJXfœJLTeX@NB

:

cj:XQ3^

:

Ñ

Ò

:

Ótb"x…V¢UoknfoBudW>€BP9U3Uo:c^

Ñ

¡XÒWÓK¡Ÿb;p%A:=fW<lMA@vJLB

^UC7DAp!CPb;‚3^ACDAp

×

bĥGVCBu@NO

UoJXT

:

cff[

:

Óe>5Ó

¡

:

Ñ

>

Ñ

¡

[

;

@.=

^SŁ#>5Ł

¡

b0Œ?;

@@

^SB>

¡

b

;==L^SŁ#>5Ł¡Kb0Œ?;7=A@=^SB>X¡ub

[

;

@.=

9E:=dfc¤Œ?;

@@

dhVNT\c

;=="9E:=dfc¤Œ?;7=A@0dhVNT\c

Õ ^UC7Dp C7O†b

8 <sJX>A>AVNTAesVNdE $ &fl!fi% V(V ']

V¢Q{JLT‰VNT9EfWBPJXdWVCTAe c@CBPJXOAdmUo:¤JLTffVNT9;foBuJ=dhVNTAe

:

c_pZmkAVvd…VvdzUWkABn9uJXdWB˜VCQ

(

:

c

(

c*)

DAÕ

™ VNT9EB¤^AC7Dp C7O†b|VC<?>A@NVNBud

(

(

c

UoJXT

:

cff[

; =/= ; @@ > ; =U@ ; @=

^; =/= 9;:†dfc¤Œ<; =U@ dWVCT c3b

@

Ò

xzB.dhBuBˆUWkJLU…UWkAB.<sJL>>AVCTejVvdm:XfoVNBET†UoJLUWVN:XTtF—>AfoBudWBEfoH†VNTAelV¢Q^; =/= ; @/@ > ; =A@ ; @=

)

Dtp

h

BETA:XUWBˆUokAB

J=9;:=iAVNJXT–:XQœUokAB.<sJL>A>AVNTAe

Ñ

[

Ñ

^aŁ0ÒhAb;‚AÓj[ZÓw^aŁ0ÒhAbziG•{‚tUokJKU…VvdE‚

‰[

S

S

S

S

F H

Ñ

F L

Ñ

F H ÓF L Ó

S

S

S

S

Õ ^UC7Dp C Xb

ZmkGMd|UWkAB

J=9;:XiVNJXTffJLU˜^SŁ€¡=ÒWL¡ubB

Y

MJL@vd ;==V;V@@1> ;7=U@;V@=KpkJLU|kJ=diwBEBET–>AfW:KH=BuO

9uJLTžTA:Kx‹iwBndyU‡JKUoBuOffJXd

"# %

. ] 0I(ffi'& 0 +fl V$ ,Vffi! ff3$/fi5fi%]

*( 0 V $0 0&fl

fi% ( '7]

$m^SŁ ¡ Òh ¡ b i9 f$5. -,$N*(6fi (.] B$0z^aŁ ¡ Òh ¡ b+

¦3§6¨ ©ª|«6´‡ª¶

¹

·{±

¹

·}º°º°­W«6»|¯

¼+½¾ ¾—¼ _À œÃGÉ~È0Ç°É~È3ÊzÊzÅ—ÀƒËœÌƔΠ}Ç_É }Ã=ÊmÎzÅ Ï zÀ|ÏÄ=Å}ÀƒÌ

™

M>A>€:†dhB–TA:Kx UokJKU

[(]_^a`Gb.[

Ñ

^SŁœÒhAb{Œ%—Ó"^SŁ0ÒWAbˆVNdlJffkA:X@N:X<?:=fW>AkVN9lQSMAT9;UWVN:XT3p

ZmkABuT–foBuJX@>JXfhU

Ñ

JXTOsVN<?JXeXVNTJLfo•j>JLfWUƒÓsdoJKUWVvdhQS•lUokABffflfiffi"!$#&%('*),+"+dh•tdhUWBE<

JXTO+‚39;:=TdWB

Y

MABET†Uo@C•=‚%ZmkBE:XfoBE< 8D¤Vvd˜JX>A>A@NVN9uJLiA@NBX‚wUokJKUˆVNdu‚+iG•‰HGVCfWUWMABl:LQ°^UC7Dp †bmUWkB

@NVCTBuJLfoVuJKUoVC:=Tl:XQ€UokAB6<sJL>

[~]_^a`Gb_JKU|`

¡

[Ł

¡

Œ–—

¡

<sJL>dJ˜H=Bu9Uo:Xf{:XQ€UokAB6@NBETAeXUWk

QjVCT†UW:sJjHXBP9Uo:Xfm:LQ}UWkAB.@NBETeLUWk

Q

j”[KQ*- ;

@

==

Œ?;

@

=U@

[KQ*.