2019
Том 71
№ 6

# Continued-fractions representations of the functions $\mathrm{s}\mathrm{h} z, \mathrm{c}\mathrm{h} z, \mathrm{s}\mathrm{i}\mathrm{n} z, \mathrm{c}\mathrm{o}\mathrm{s} z$

Pahirya M. M.

Abstract

We obtain the representations of the functions $\mathrm{s}\mathrm{h} z, \mathrm{c}\mathrm{h} z, \mathrm{s}\mathrm{i}\mathrm{n} z,$ and $\mathrm{c}\mathrm{o}\mathrm{s} z$ by quasireciprocal functional continued fractions of the Thiele type.

Citation Example: Pahirya M. M. Continued-fractions representations of the functions $\mathrm{s}\mathrm{h} z, \mathrm{c}\mathrm{h} z, \mathrm{s}\mathrm{i}\mathrm{n} z, \mathrm{c}\mathrm{o}\mathrm{s} z$ // Ukr. Mat. Zh. - 2018. - 70, № 5. - pp. 682-698.