IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i24p3316-d706366.html
   My bibliography  Save this article

Analytical Solution of the Three-Dimensional Laplace Equation in Terms of Linear Combinations of Hypergeometric Functions

Author

Listed:
  • Antonella Lupica

    (Department of Economics, Engineering, Society and Business Organization (DEIm), University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy
    These authors contributed equally to this work.)

  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, 00186 Roma, Italy
    These authors contributed equally to this work.)

  • Flavio Crisanti

    (Department of Economics, Engineering, Society and Business Organization (DEIm), University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy
    These authors contributed equally to this work.)

  • Artur Ishkhanyan

    (Department of General Physics, Russian-Armenian University, Yerevan 0051, Armenia
    Institute for Physical Research, Ashtarak 0203, Armenia
    These authors contributed equally to this work.)

Abstract

We present some solutions of the three-dimensional Laplace equation in terms of linear combinations of generalized hyperogeometric functions in prolate elliptic geometry, which simulates the current tokamak shapes. Such solutions are valid for particular parameter values. The derived solutions are compared with the solutions obtained in the standard toroidal geometry.

Suggested Citation

  • Antonella Lupica & Clemente Cesarano & Flavio Crisanti & Artur Ishkhanyan, 2021. "Analytical Solution of the Three-Dimensional Laplace Equation in Terms of Linear Combinations of Hypergeometric Functions," Mathematics, MDPI, vol. 9(24), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3316-:d:706366
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/24/3316/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/24/3316/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3316-:d:706366. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.