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American Journal of Applied Mathematics

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Volume 9, Issue 3, June 2021

  • The Cauchy Operator and the Homogeneous Hahn Polynomials

    Qiuxia Hu, Xinhao Huang, Zhizheng Zhang

    Issue: Volume 9, Issue 3, June 2021
    Pages: 64-69
    Received: 31 March 2021
    Accepted: 23 April 2021
    Published: 27 May 2021
    DOI: 10.11648/j.ajam.20210903.11
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    Abstract: The Cauchy operator plays important roles in the theory of basic hypergeometric series. As some applications, our purpose is mainly to show new proofs of the Mehler’s formula, the Rogers formula and the generating function for the homogeneous Hahn polynomials Φ(α)n(x,y|q)) by making use of the Cauchy operator and its properties. In addition, some i... Show More
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  • The Problem of Setting Traffic Signal Cycles at Crossroads

    Dimitra Alexiou, Leonidas Bakouros

    Issue: Volume 9, Issue 3, June 2021
    Pages: 70-74
    Received: 17 April 2021
    Accepted: 13 May 2021
    Published: 7 June 2021
    DOI: 10.11648/j.ajam.20210903.12
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    Abstract: In this paper, the problem of setting traffic light cycles at crossroads and intersections is considered in order to reduce traffic congestion by minimizing total vehicle waiting time. A method to determine the family ℘ of all discrete cycle phasing systems with the minimum number of phases is presented. The aim is to detect the most appropriate ph... Show More
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  • Modelling Chlamydia Trachomatis Infection Among Young Women in Ghana: A Case Study at Tarkwa Nsuaem Municipality

    Christiana Cynthia Nyarko, Nicholas Nicodemus Nana Nsowa-Nuamah, Peter Kwesi Nyarko, Eric Neebo Wiah, Albert Buabeng

    Issue: Volume 9, Issue 3, June 2021
    Pages: 75-85
    Received: 8 May 2021
    Accepted: 3 June 2021
    Published: 16 June 2021
    DOI: 10.11648/j.ajam.20210903.13
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    Abstract: Chlamydia Genital infection has been a global health issue especially among most developing countries. Although, a lot of researchers have modelled CT infection to determine the impact of different intervals between Chlamydia infection and the development of Pelvic Inflammatory Disease (PID) on the cost-effectiveness of screening and the use of Chl... Show More
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  • A Maximization Problem Involving a Fractional Laplace Type Operator

    Chong Qiu

    Issue: Volume 9, Issue 3, June 2021
    Pages: 86-91
    Received: 25 May 2021
    Accepted: 4 June 2021
    Published: 16 June 2021
    DOI: 10.11648/j.ajam.20210903.14
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    Abstract: Fractional Laplacian is an important nonlocal operator which has many applications in different kinds of differential equations. Recently, optimization problems involving the fractional Laplacian have been studied a lot by many authors. However, most of these papers are focusing on the optimization problems related to the first eigenvalue of the eq... Show More
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