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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
Simon Joseph, Fatin Saeed, Nagat Suoliman, Mohammed Khanfoor, Abd Elmotaleb Abd Ellah
Short Retraction Notice The paper does not meet the standards of "Advances in Pure Mathematics". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to…
Yijian Ge
In this paper, we study the existence of solution for some <i>p</i>(<i>x</i>) -polyharmonic Kirchhoff equations. The latter is allowed to vanish at the origin (degenerate case). Firstly, we study the existence of solutions of approximate equations. Secondly,…
Rong Hu
Different function spaces have certain inclusion or equivalence relations. In this paper, the author introduces a class of M ö bius-invariant Banach spaces Q K , 0 (p,q) of analytic function on the unit ball of C n , where K :(0,∞)→[0,∞) are non-decreasi…
Cao-Huu Tuan, Dorin Ghisa, Allan Florin Muscutar
We are dealing with domains of the complex plane which are not symmetric in common sense, but support fixed point free antianalytic involutions. They are fundamental domains of different classes of analytic functions and the respective involutions are obtaine…
Dalal Adnan Maturi
In this paper, we will use the successive approximation method for solving Fredholm integral equation of the second kind using Maple18. By means of this method, an algorithm is successfully established for solving the non-linear Fredholm integral equation of…
Tomonori Noda, Hinako Matsuyama
The purpose of this article is to formulate Bayesian updating from dynamical viewpoint. We prove that Bayesian updating for population mean vectors of multivariate normal distributions can be expressed as an affine symplectic transformation on a phase space w…
Prodromos Char. Papadopoulos
In the following pages I will try to give a solution to this very known unsolved problem of theory of numbers. The solution is given here with an important analysis of the proof of formula (4.18), with the introduction of special intervals between square of p…
Aurélien Goudjo, Uriel Aguemon
In this paper, an isogeometric error estimate for transport equation is obtained in 2D to prove the convergence of isogeometric method. The result that we have obtained, generalizes Ern result, got in finite elements method. For the time discretization, the t…
George M. Lady, Carlisle E. Moody
A recent literature on qualitative analysis has shown that its successful application in testing the consistency of the sign patterns of a proposed structure and an estimated reduced form was far less restricted than a previous literature had proposed. A freq…
Sarathi Mallappa Vanithalakshmi, Senajji Kampalappa Narasimhamurhthy, Mallappa Kariyappa Roopa
The notion of the holomorphic curvature for a Complex Finsler space ( M,F ) is defined with respect to the Chern complex linear connection on the pull-back tangent bundle. This paper is about the fundamental metric tensor, inverse tensor and as a special appr…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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