Báo cáo toán học: " Subclasses of Uniformly Starlike and Convex Functions Defined by Certain Integral Operator" ppt

... Vietnam Journal of Mathematics 33:3 (2005) 319–334 Subclasses of Uniformly Starlike and Convex Functions Defined by Certain Integral Operator Maslina Darus 1 ,AiniJanteng 2 , and Suzeini Abdul ... (α>0,β >−1) (5) and J α f(z)=z + ∞  n=2  α +1 α + n  a n z n , (α>−1). (6) Uniformly Starlike and Convex Functions Defined by Certain Integral...

Ngày tải lên: 06/08/2014, 05:20

... positive solutions of (1.1), (1.2), and obtain the existence of positive solutions of (1.1) and (1.2). More- over, we can also obtain the existence of negative solutions of (1.1) and (1.2). Now, ... r(T) denote the set of real characte ristic values of T and Γ denote the closure of the set of nontrivial solutions of (2.1). Theorem 2.1 ([15, Theorem 1.3]). If μ Î r(...

Ngày tải lên: 20/06/2014, 20:20

... exons and 10 introns, with a length of 2871 bp, and pb-3 had 16 exons and 15 introns, with a length of 2595 bp. As shown in Table 3, the number, size and order of exons was the same in pb-1 and ... pb-1 and pb-3 was shorter than that between pb-2 and pb-1 (or pb-3). Exon-intron analysis of pb-1 and pb-3 showed that both genes have nearly the same number, size and...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 09:46

... class="bi x0 y0 w4 h 2" alt =""

Ngày tải lên: 05/08/2014, 15:20

... h 1" alt =""

Ngày tải lên: 05/08/2014, 15:21

... the study of the hook formula for various kinds of Young diagrams. The proofs are based on properties of shifted Schur functions, due to Okounkov and Olshanski. The theory of these functions ... asymptotic theory of Vershik and Kerov of the representations of the symmetric groups. ∗ Work partially supported by N.S.F. Grant No.DMS-94-01197. † Partially supported by Gra...

Ngày tải lên: 07/08/2014, 06:20

... crossings and nestings of two edges in matchings and partitions. 2 Proof of Theorem 1.2 Let π = B 1 − B 2 −···−B k be a partition of [n]andi an integer in [n]. The i-th trace of π is defined by T i (π)=B 1 (≤ ... proved by De Sainte-Catherine [5] and also by De M´edicis and Viennot [4]. We were inspired by the general combinatorial theory of orthogonal polynomials...

Ngày tải lên: 07/08/2014, 13:21

... broken by the rule that 5s and 6s are connected to a 7 by a path in H 7 on the same face of the cube, whereas 1s and 3s are not. This symmetry reflects a number of features of the structure of the ... Orthogonality and partial order in Γ 7 . More generally, one can compare α ∈ ∆ + s and β ∈ ∆ + t by considering ˜α and ˜ β. Theorem 3.4.4. Suppose α ∈ ∆ + s and β ∈ ∆ +...

Ngày tải lên: 07/08/2014, 21:20

... conics defined over GF(q 2 ) and con- jugate over GF(q). In the first three cases we may assume that Φ splits into two conics C 1 and C 2 defined over GF(q), with P + and P − on C 1 and Q + and Q − on ... lines defined over GF(q), and U a,b ∩Ω is the union of two Baer subconics of Ω sharing one point; (iii) Γ is an affine line, counted twice, defined over GF(q) , and U a,b...

Ngày tải lên: 08/08/2014, 12:22