Expression of Complete Elliptic Integrals of the First and Second Kind in Terms of Elementary Functions in the Tunnel Mathematics Space

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DOI:

https://doi.org/10.61359/11.2106-2465

Keywords:

Elliptic Integrals, Elementary Functions, Tunnel Mathematics Space, Navier-Stokes Equation

Abstract

Analytical expressions in closed form of complete elliptic integrals of the first and second kind are obtained in terms of elementary functions. These expressions model the tabular values of integrals quite well, so they can be used for differentiation and integration, as well as for solving certain applied problems. When deriving these expressions in tunnel mathematics space, an additional dependence on the azimuthal angle φ as a parameter appears. Precise adjustment of this parameter allows reducing the error in modeling.

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Published

2024-11-30

How to Cite

Oleh G. Shvydkyi. (2024). Expression of Complete Elliptic Integrals of the First and Second Kind in Terms of Elementary Functions in the Tunnel Mathematics Space. Acceleron Aerospace Journal, 3(6), 648–669. https://doi.org/10.61359/11.2106-2465

Issue

Vol. 3 No. 6 (2024): Acceleron Aerospace Journal (AAJ), Volume 3, Issue 6, 2024

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Copyright (c) 2024 Acceleron Aerospace Journal

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