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New oscillation results for non-canonical higher order nonlinear neutral dynamic equations

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021; 27 (3)

We shall present new oscillation criteria for non-canonical higher order nonlinear neutral dynamic equations of the form ((a(t)(y(Delta n-1)(t))(alpha......

Algebraic equation and the radius of convergence of Poincare series

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021; 27 (1)

In this note, we obtain two families of algebraic numbers which can appear as the radii of convergence of Poincare series of loop spaces of simply con......

Normal functions concerning derivatives and shared sets

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2019; 25 (3)

Let f(z) be meromorphic in Delta, E-1 = {a(1), a(2), a(3)} and E-2 = {b(1), b(2), b(3)} be two sets in C, k is an element of Z(+). Suppose that f(z) i......

The reciprocal of the weighted geometric mean is a Stieltjes function

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2018; 24 (1)

In the paper, by the Cauchy integral formula in the theory of complex functions, the authors establish an integral representation for the reciprocal o......

A characterization of linear groups L-3(q) by their character degree graphs and orders

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2018; 24 (1)

Let L-n(q) be the projective special linear group of degree n over a finite field of order q. In this paper, the projective special linear group L-3(q......

Some results on n-coherent rings, n-hereditary rings and n-regular rings

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2018; 24 (1)

Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented left R-module is (n + 1)-presented. A left R-module M i......

Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2018; 24 (2)

We present a new method to convert the boundary value problems for impulsive fractional differential equations involving Caputo fractional derivatives......

On the average value of the first n values of the Euler function

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2018; 24 (2)

We prove that the number of positive integers n <= x, such that phi(1) + phi(2) + ... + phi(n) is a multiple of n, is less than x/(log x)(0.15742) ......

On the rational homotopical nilpotency index of principal bundles

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2017; 23 (2)

Let Aut(p) denote the space of all self-fibre homotopy equivalences of a principal G-bundle p : E -> X of simply connected CW complexes with E fini......

The harmonic and geometric means are Bernstein functions

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2017; 23 (2)

In the paper, the authors present by several approaches that both the harmonic mean and the geometric mean of two positive numbers are Bernstein funct......

On some fractional Hermite-Hadamard inequalities via s-convex and s-Godunova-Levin functions and their applications

期刊: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2017; 23 (2)

In this paper, we establish two fractional integral equalities involving once and twice differential functions. Then, we apply such equalities to give......

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