Results & Lemmas (6)
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Theorem 2.
Theorem 2. Let A ~ o, and ° A j~’ J ~~~ ~ § z P(A,B) and I z I ~ ) I B I, then ) qy S J )
Theorem 2. Let A ~ o , and ° A j~’ J ~~~ ~ § z P(A,B) and I z I ~ ) I B I , then ) qy S J )
Theorem 3.
Theorem 3. Let A # °,, and 0394 zp 03A8q ( 03BB i, Ai) 1,p; z ~ R (A, B) ( i, Bi)1,q; then for Re(03B3) > 0 and [ z [
Theorem 3. Let A # ° , , and 0394 zp 03A8q ( 03BB i, Ai) 1,p ; z ~ R (A, B) ( i, Bi)1,q ; then for Re(03B3) > 0 and [ z [
Corollary 1.
Corollary 1. L~r Fd + v) jy (z) c P*(a), ~/: ~ Va~~l’ ’ I (4.4) ~~ ! ~ I (~~~’"’)’ I c-~ (iii) Re J 03BD (z) ~ 1 0393 (1 + 03BD) (1 -…
Corollary 1. L~r Fd + v) jy (z) c P*(a), ~/: ~ Va~~l’ ’ I (4.4) ~~ ! ~ I (~~~’"’)’ I c-~ (iii) Re{J 03BD (z)} ~ 1 0393 (1 + 03BD) (1 - (1-203B1) |z| 1 + |z|), (4.6)
Corollary 2
Corollary 2. If r i + v > Jf z > e P * a >, and ) z ] S I, then |J 1+v+ (z)| ~ 2(1 - 03B1) |0393(1+03BD)| (1+|z|2). (4.9)
Corollary 2 . If r i + v > Jf z > e P * a > , and ) z ] S I , then |J 1+v+ (z)| ~ 2(1 - 03B1) |0393(1+03BD)| (1+|z|2) . (4.9)
Corollary 3
Corollary 3. Let r (03B2) > z i " # > /« E03B1, 03B2 z ) e P* a ),, then ~~~ )C (fi ~ ~ ’, ~~’~~~ (ii) |z(1 - 03B2) / 03B1 E03B1, 03B2 ( z)…
Corollary 3 . Let r (03B2) > z i " # > /« E03B1, 03B2 z ) e P* a ) , , then ~~~ )C (fi ~ ~ ’ , ~~’~~~ (ii) |z(1 - 03B2) / 03B1 E03B1, 03B2 ( z) |
Corollary 4.
Corollary 4. If 0393 (03B2) z(1-03B2)/03B1 E03B1,03B2 (z> e P* «), and ] z ]
Corollary 4. If 0393 (03B2) z(1-03B2)/03B1 E03B1,03B2 (z> e P* «) , and ] z ]