Related papers: A note on the convergence of the Adomian decomposi…

This paper presents a method for constructing flat deformations of associative algebras. We will refer to this method as method two because it is a generalisation of the method obtained in [1]. The deformations obtained using the first two…

The main purpose of this note is to provide a topological approach to defining additive functions on Riemannian co-compact normal coverings.

The decomposition theorem is deduced from local purity.

The purpose of this note is to provide an alternative proof of two quadratic transformation formulas contiguous to that of Gauss using a differential equation approach.

We give a sketch for an alternative proof of a recent result by J. Tseng.

In this paper we explore a new method of analysis of associative algebras.

In this paper, we introduce a new iteration method and show that this iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that the new iteration method is equivalent to both Mann…

An algebraic deformation theory of coalgebra morphisms is constructed.

We introduce a new criterion which if satisfied implies the Riemann hypothesis.

This paper presents a decomposition method for solving elliptic boundary value problems in one-dimension. The method is an improvement to an existing technique for approximating elliptic systems. It is demonstrated to be computationally…

We prove that seminormality of cut polytopes is equivalent to normality. This settles two conjectures regarding seminormality of cut polytopes.

The development of higher order finite elements methods has become an active research area. The deformation method for mesh generation has achieved a prescribed positive Jacobian determinant constraint and it has been a useful method for…

We propose conformable Adomian decomposition method (CADM) for fractional partial differential equations (FPDEs). This method is a new Adomian decomposition method (ADM) based on conformable derivative operator (CDO) to solve FPDEs. At the…

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

The Hodge-de Rham Theorem is introduced and discussed. This result has implications for the general study of several partial differential equations. Some propositions which have applications to the proof of this theorem are used to study…

We prove a recent conjecture by Ulas on reducible polynomial substitutions.

In this paper, we obtain new results on the critical points of a polynomial, these results are useful to the Sendov conjecture.

We recover a result of Iwasawa on the p-adic logarithm of principal units with the use of the value at 1 of p-adic L-functions. We deduce an Iwasawa-like result in the odd part of principal units.

We present an understandable, efficient, and streamlined proof of the Holonomy Decomposition for finite transformation semigroups and automata. This constructive proof closely follows the existing computational implementation. Its novelty…

We obtain another proof of Hermite's integral for the Hurwitz zeta function.