the distribution of zeros of entire functions

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... variables. 13 the type of the sum is not greater than the larger of the types of the two summands. In addition, if one of the two functions is of larger growth than the other, then the sum has the same ... in (−1, 0), then the zeros of h(z) also lie in K. (iii) If the zeros of f(z) lie in (−a, a) and the zeros of g(z) lie in (−b, 0) (or in (0, b)), where a, b > 0, then the zeros of h(z) also ... AND THE DISTRIBUTION OF ZEROS OF ENTIRE FUNCTIONS A DISSERTATION SUBMITTED TO THE GRADUATE DIVISION OF THE UNIVERSITY OF HAWAI‘I AT M ¯ ANOA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE...

Ngày tải lên: 10/03/2014, 16:15

... significantly reduced by dysfunctions of the SH2 and ⁄ or SH3 domains of the protein. Furthermore, we found that dysfunctions of SH2 and ⁄ or SH3 domains reduce auto- phosphorylation of the kinase activation ... results in blocking of the binding of the SH2 domain to the substrate and thereby preventing interaction of the substrate with the kinase domain. For active n-Src in which the C-tail tyrosine ... auto-phosphor- ylation by modulating the kinase activity of the enzyme. To determine the roles of the SH3 and ⁄ or SH2 domains in Src regulation of NMDAR phosphoryla- tion, the protein fragment corresponding...

Ngày tải lên: 06/03/2014, 01:20

... divisors of n, Ω(n) is the number of prime power divisors of n, π(x) is the number of primes ≤ x, τ(n) is the number of divisors of n. P(s, t) is the set of positive integers composed of prime ... author enjoyed the hospitality of the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. Finally, the author acknowledges the referee for a thorough reading of the paper and ... is the set of square-free members of P (s, t). We list a few estimates from prime number theory and sieve theory. The first is the Brun-Titchmarsh inequality and the second is a consequence of the Prime...

Ngày tải lên: 06/03/2014, 08:21

... rates as (i) the ratio of the number of banks headquartered in a state that failed to the total number of banks headquartered in that state as of June 30, 2006; and (ii) the ratio of the deposits ... captures the influence on a state’s failure rate of the deposits in branches of banks that are headquartered in another state. Figure 6 shows the distribution of the failure rate (ratio of failed ... deposits, the failures of 2007-10 approach the failures of the 1980s and early 1990s (Figures 1 and 2). 2 The bank failures of the 1980s and early 1990s were concentrated in regions of the country...

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