The main aim of this paper is that for any second-order linear recurrence sequence, the generating function of which is f ( t) = 1 1 + a t + b t 2 , we can give the exact coefficient expression of the power series expansion of f x ( t ) for x ∈ R with elementary methods and symmetry properties.Expand

Using certain results of exponential Diophantine equations, we prove that (i) if p ≡ ±3(mod 8), then the equation 8x + p y = z 2 has no positive integer solutions (x, y, z).Expand

Abstract Due to the high flowability of self-compacting concrete (SCC), compared with ordinary concrete, it is more prone to have stability problems and segregation. In order to study the segregation… Expand

Let n be a positive integer and k≥2, bk(n) denotes the k-th power complement fuction, we define a new set A.This paper is mainly to study the mean value properties of the Euler function in set A,and… Expand

In this paper, we investigate the existence and stability of the positivesteady-state solutions for a Lotka-Volterra system with intraspecific competition byusing the Lyapunov-Schmidt reduction… Expand

We introduce the fourth-order linear recurrence sequence and its generating function and obtain the exact coefficient expression of the power series expansion using elementary methods and symmetric properties of summation processes.Expand

In order to study the effect of seismic permanent deformation on the safety and stability of earth-rock dam, the permanent deformation is considered as the non-design permanent load, and the… Expand