Geodesic
On algorithms for calculating complete elliptic integrals
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 5-16

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Methods for calculating complete elliptic integrals of the first and second kind and their implementation in the MathPartner computer algebra system are considered. 
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     author = {S. Adlaj and G. I. Malashonok and K. Yu. Malyshev and A. V. Seliverstov and F. G. Uskov},
     title = {On algorithms for calculating complete elliptic integrals},
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     publisher = {mathdoc},
     volume = {517},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a0/}
}
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S. Adlaj; G. I. Malashonok; K. Yu. Malyshev; A. V. Seliverstov; F. G. Uskov. On algorithms for calculating complete elliptic integrals. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a0/