Results & Lemmas (5)
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LEMMA 1.
LEMMA 1. Let p(z) i P(A, B). Then, for s r < 1,
LEMMA 1. Let p(z) i P(A, B) . Then, for \z\ s r < 1 ,
LEMMA 2
LEMMA 2 [4]. Suppose p(z) = [l+Aw(z))[l+Bw(z)]~1 where -1 < A < B S l and w(z) € ff. Then, for C > B, p^r) for RQ < Rx, P2(r) for where (r)…
LEMMA 2 [4]. Suppose p(z) = [l+Aw(z))[l+Bw(z)]~1 where -1 < A < B S l and w(z) € ff . Then, for C > B , p^r) for RQ < Rx , P2(r) for where (r) = C1+Ar l+5r + 4 1+Sr
LEMMA 3
LEMMA 3 [ 4 ], J / 1 1+Br " €# and p(z) = ] [l+Bw z) Re [l+Aw(z)][l+Bw(z)] 1 > r where G =B-A B e(_* + 5 p ( 2 ) | _ LEMMA 4 [ 5 ]. Let N
LEMMA 3 [ 4 ] , J / 1 1+Br " €# and p(z) = ] [l+Bw{z) Re [l+Aw(z)][l+Bw(z)] 1 > r where G =B-A B e(_* + 5 p ( 2 ) | _ LEMMA 4 [ 5 ] . Let N
LEMMA 5.
LEMMA 5. Let p^z) and p^z) belong to P(A, B); then ^(Pl(s)+p2(3)) € P(A, B).
LEMMA 5. Let p^z) and p^z) belong to P(A, B) ; then ^(Pl(s)+p2(3)) € P(A, B) .
THEOREM 2.
THEOREM 2. Let gU) € S*U, B) and F(s) i S*(A, B). Let us [z define f z) by F(z)g(z) = 2 f(t)dt or equivalently, J0 ^ for = r, P (r) for R S…
THEOREM 2. Let gU) € S*U, B) and F(s) i S*(A, B) . Let us [z define f{z) by F(z)g(z) = 2 f(t)dt or equivalently, J0 ^ for \z\ = r , P (r) for R S S
Function classes studied:
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