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Apr 30, 2021Open    Access

Certain Problem for Starlike Functions with Respect to Other Points

Ghassan H. Esa
In this work, a new class of analytic and univalent functions , , with respect to other points that include symmetrical and conjugats in the unit disk are studied. The estimated coefficients are calculated respectively for each class of functions. The fractional calculus techniques where were used to study the distortion theorem. The fractional integral operator was used to satistfy the analytic function f(z) in a simply-connected region of the z-plane containing the origin on a class , and ...
Open Access Library J.   Vol.8, 2021
Doi:10.4236/oalib.1107383


Oct 30, 2020Open    Access

Study about Non-Linear Structures

Stéphane Le Corre
This article proposes a new algebraic structure that goes beyond the vector space, named sector space. We show that this new space is associated with projective spaces as vector space is associated with affine spaces. Parallelly, we suggest two other algebraic structures which extend the notions of group and field. Notions of element not reducible to a point (extended object), of ternary structure (extension of the binary notion of the linear group) and of complementary association (bifocal cons...
Open Access Library J.   Vol.7, 2020
Doi:10.4236/oalib.1106726


Jul 17, 2020Open    Access

Solving a Geometrical Locus Problem Using GeoGebra Software and Then Analytical Geometry

M. El Aydi, R. Bendaoud, M. Sbaa, M. Barkatou, M. Benhmida
In this work, intended for future teachers, we present a solution of a geometric locus problem using the GeoGebra software. This allows first to visualize the shape of the geometric locus, then to state a conjecture to validate a solution founded by analytical geometry methods. The search for a geometric locus using GeoGebra software makes the activity more attractive.
Open Access Library J.   Vol.7, 2020
Doi:10.4236/oalib.1106539


Dec 23, 2019Open    Access

Reverse Building of Complete (k,r)-Arcs in PG(2,q)

Mina Ghareeb Faraj, Nada Yassen Kasm
The purpose of this work is to study the construction of complete (ki,i)-arcs in PG(2,9), where i=q,9-1,...2 by eliminating points from a complete (kn,n)-arc to get a complete(km,m)-arc, where m < n. And we adopted a new sequential way to delete points [1] [2].
Open Access Library J.   Vol.6, 2019
Doi:10.4236/oalib.1105900


Oct 25, 2017Open    Access

On Markov Moment Problem and Mazur-Orlicz Theorem

Octav Olteanu, Janina Mihaela Mihaila
Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlie
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Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103950


Aug 23, 2016Open    Access

The Proof of Hilbert’s Seventh Problem about Transcendence of e+π

Jiaming Zhu
We prove that eπ is a transcendental number. We use proof by contradiction. The key to solve the problem is to establish a function that doesn’t satisfy the relational expression that we derive, thereby produce a conflicting result which can verify our assumption is incorrect.
Open Access Library J.   Vol.3, 2016
Doi:10.4236/oalib.1102893


Mar 24, 2014Open    Access

On Convexity and Approximating the Perimeter of an Ellipse

Octav Olteanu
In the first part of this work, a convex partition of a compact subset is constructed. Minimum-length surrounding curve and minimum-area surrounding surfaces for a compact set are constructed too. In the second part, one writes the perimeter of an ellipse as the sum of an alternate series. On the other hand, we deduce related “sandwich” inequalities for the perimeter, involving Jensen’s inequality and logarithmic function respectively. We discuss the values of the ordinate of the gravity center ...
Open Access Library J.   Vol.1, 2014
Doi:10.4236/oalib.1100332


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