Geodesic
LINSPACE constructive analogue of $(1+x)^h$ function
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 239-249

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Algorithms of class $FLINSPACE$ are constructed in order to calculate the arbitrary precision of $(1+x)^h$ function with the help of Taylor expansion. This function is analyzed with the multitude of constructive real numbers, that is, the algorithms calculating rational approximations are used as $x$ argument.
Keywords: rational approximations, algorithms, closeness. 
@article{VSGTU_2008_2_a26,
     author = {S. V. Yakhontov},
     title = {LINSPACE constructive analogue of $(1+x)^h$ function},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {239--249},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a26/}
}
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S. V. Yakhontov. LINSPACE constructive analogue of $(1+x)^h$ function. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 239-249. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a26/