Expression of Complete Elliptic Integrals of the First and Second Kind in Terms of Elementary Functions in the Tunnel Mathematics Space
DOI:
https://doi.org/10.61359/11.2106-2465Keywords:
Elliptic Integrals, Elementary Functions, Tunnel Mathematics Space, Navier-Stokes EquationAbstract
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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