Sentence examples for dominating coefficient from inspiring English sources

Note that in Theorems A and B, Eq. (1.2) has only one dominating coefficient a l.

For the case when there is no dominating coefficient and all coefficients are polynomials in Eq. (1.2), Chen [10] obtained an improvement of Theorem A.

Another question raised by Laine and Yang in [16] is whether all meromorphic solutions f ( z ) of (1.1) satisfy ρ ( f ) ≥ max 0 ≤ j ≤ n ρ ( A j ) + 1, even if there is no dominating coefficient.

If the dominating coefficient M is 1, then END random variables reduce to NOD random variables which contain NA random variables and NSD random variables (see Joag-Dev and Proschan [2], Hu [3] and Wang et al. [4]).

In Theorems B and C, there is always some dominating coefficient A l such that ρ ( A l ) > 0. A natural question is what happens if the dominating coefficient A l is of order zero?

end{aligned} Therefore, it can be found that ({Z_{n},ngeq1}) is also an END sequence with the same dominating coefficient M. Shen [10].

(i) Let a random sequence ({X_{n}, ngeq1 }) be WOD with dominating coefficients (g(n)).

Let a random sequence ({X_{n}, ngeq1 }) be WOD with dominating coefficients (g(n)).

Let a random sequence ({ X_{n}, ngeq1 }) be WOD with dominating coefficients (g(n)), and let (A1)–(A3) hold true.

Let a random sequence ({X_{n}, ngeq1 }) be WOD with dominating coefficients (g(n)), and (EX_{i}=0), (|X_{i}|leq d), a.s.s

Assume that ({X_{i}, igeq1} ) are WUOD r.v.s with dominating coefficients (g_{U}(n) (nge1)) satisfying (2.1).