‹ Traité d'analyse (volume 4)Chapitre 123 sur 154 · I . 3iix · texte numérisé non relu

I . 3iix

ll(x)= iq* sin— — — iq^ sin — -^ 2K ^ 2K

. Y . T.X [ „ ira? ,V/ , Tzx .

— Aiq"* sin— -( 1 — iq^cos— + ^* )( i — 2 ^'^ cos -7^ H- ^^

H,(a7) = 2^*cos-7^ -^2^*cos — TT- -^. ..-^iq^ ^ ^ cos- rr^ h...

. ^, 'KX f ^ -KX A/ , izx \

= PLiq* cos— r^ { 1 + 2^2 cos— ^ q^)\i-^ 2^*C0S-f^ -^ 9 ) • •'

Hi(K) = o, ei(K4-KV^) = o.

H(:r + K)-Hi(;r); Hi(a7 + K) = - H(^).

0(^ + KV^^) = /^-i"BH(:r), 0i(:r -I- KV^) = BH,(^), H (a; + K' v/=^) = v/==^B 0 (07); II, (^ -4- K' s/^) = B ©i (;2^).

0(^-^2K'v/^^)= -A0(^), 0i(a7-t-2K'v/^)= A0j(^), H(iP + 2K' v/=^) = - A H(^); H, (^ -f- 2K' y/^^) = kYi^{x).

snœ = -— :

ni(o)

BKo)

/PHi(^ /t-,^ e(o) V /c e(;r) ' ^^ ei(o)

i -]- iq -\- iq* -T-. . .

iq-^iq^ — ••• ^ l4-Si^-i-2^*

l)(;r) = 2/?* COSh — f-7 +. . .-h 2/?^ 2 / cOSh ^ ;^-|^7-^

1 + 2/?*cosh -)—

= A2/>* COsh -^, / 1 + 2/>2 cOSlî -fTT +P^)(

ti, ( a? ) = I H- 2/? COS h —y- + 2/?* COS h — j-T h ... -h 2/)"' COS 11 — r-^ h

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