期刊: MATHEMATICAL REPORTS, 2020; 22 (2)
The aim of this paper is to consider a class of linear ultraparabolic equations with bounded and VMO coefficients a(ij)(z). We first establish higher ......
期刊: MATHEMATICAL REPORTS, 2020; 22 (1)
The harmonic index of a graph G is defined as H(G) = Sigma(uv is an element of E(G)) 2/d(u)+d(v), where E(G) is the edge set of G, d(u) and d(v) are t......
期刊: MATHEMATICAL REPORTS, 2020; 22 (3-4)
For a positive integer N, hypergeometric Cauchy numbers c(N,n) are defined by 1/F-2(1) (1, N; N + 1: - x) = (-1)(N-1)x(N)/N/log(1+x) - Sigma(N-1)(n=1)......
期刊: MATHEMATICAL REPORTS, 2020; 22 (3-4)
In this paper, we obtain the second main theorem for holomorphic curves on annuli crossing a finite set of moving hyperplanes in u-subgeneral position......
期刊: MATHEMATICAL REPORTS, 2020; 22 (3-4)
The main purpose of this paper is to continue our study of a certain mixed character sum and to prove a particular exact formula of a fourth power mea......
期刊: MATHEMATICAL REPORTS, 2019; 21 (1)
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempotent and a regular element. We prove that every ri......
期刊: MATHEMATICAL REPORTS, 2019; 21 (1)
The hyper Zagreb index is a kind of extensions of Zagreb indices, used for predicting physicochemical properties of organic compounds. Given a graph G......
期刊: MATHEMATICAL REPORTS, 2019; 21 (1)
Many kinds of convolution identities have been considered about several numbers, including Bernoulli, Euler, Genocchi, Cauchy, Stirling, and Fibonacci......
期刊: MATHEMATICAL REPORTS, 2018; 20 (2)
In this paper, we first investigate harmonic maps and harmonic morphisms between almost Kenmotsu manifolds and almost Hermitian manifolds, extending s......
期刊: MATHEMATICAL REPORTS, 2018; 20 (2)
Many authors studied bounds for reciprocal sums involving terms from Fibonacci and other related sequences. The purpose of this paper is to provide bo......
期刊: MATHEMATICAL REPORTS, 2018; 20 (2)
We investigate the value distribution of difference polynomials f(n) - Sigma(lambda is an element of I) a(lambda)(z) Pi(m)(v=1) f(z + c(v))(l lambda,v......
期刊: MATHEMATICAL REPORTS, 2018; 20 (1)
An element in a ring R is called uniquely weakly nil-clean if it can be uniquely written as the sum or difference of a nilpotent element and an idempo......
期刊: MATHEMATICAL REPORTS, 2018; 20 (1)
The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of the number of the ......
期刊: MATHEMATICAL REPORTS, 2018; 20 (3)
This paper addresses continuous g-frames which are extensions of g-frames and continuous frames. Firstly, using operator methods we establish some new......
期刊: MATHEMATICAL REPORTS, 2017; 19 (1)
The main purpose of this paper is using the analytic methods and a relation between the two-term cubic expontial sums and general Kloosterman sums to ......