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INTEGRABILITY RESULTS FOR WEAK SOLUTIONS TO ULTRAPARABOLIC EQUATIONS

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 ......

ON THE HARMONIC INDEX AND DIAMETER OF UNICYCLIC GRAPHS

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......

REMARKS ON HYPERGEOMETRIC CAUCHY NUMBERS

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)......

SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES WITH THE MOVING TARGETS ON ANNULI

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......

ON THE FOURTH POWER MEAN OF THE GENERALIZED TWO-TERM EXPONENTIAL SUMS

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......

ALMOST UNIT-CLEAN RINGS

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......

JIF:0.34

BOUNDS OF ZAGREB INDICES AND HYPER ZAGREB INDICES

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......

JIF:0.34

CONVOLUTION IDENTITIES FOR TRIBONACCI NUMBERS WITH SYMMETRIC FORMULAE

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......

JIF:0.34

HARMONIC MAPS ON ALMOST KENMOTSU MANIFOLDS

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......

JIF:0.34

RECIPROCAL SUMS OF SEQUENCES INVOLVING BALANCING AND LUCAS-BALANCING NUMBERS

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......

JIF:0.34

ON THE VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS

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......

JIF:0.34

RINGS IN WHICH EVERY ZERO DIVISOR IS THE SUM OR DIFFERENCE OF A NILPOTENT ELEMENT AND AN IDEMPOTENT

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......

JIF:0.34

THE NUMBER OF SOLUTIONS OF THE DIAGONAL CUBIC CONGRUENCE EQUATION mod p

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 ......

JIF:0.34

NEW INEQUALITIES AND ERASURES FOR CONTINUOUS G-FRAMES

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......

JIF:0.34

THE FOURTH POWER MEAN OF TWO-TERM EXPONENTIAL SUMS AND ITS APPLICATION

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 ......

JIF:0.25

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