## Abstract

We employ the exponentially improved asymptotic expansions of the confluent hypergeometric functions on the Stokes lines discussed by the author [Appl. Math. Sci.

**7**(2013) 6601–6609] to give the analogous expansions of the modified Bessel functions*I*(z) and_{ν}*K*(z) for large z and finite_{ν}*ν*on arg*z*= ±π (and, in the case of*I*(z), also on arg_{ν}*z*= 0). Numerical results are presented to illustrate the accuracy of these expansions.Original language | English |
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Pages (from-to) | 407-416 |

Number of pages | 10 |

Journal | Mathematica Æterna |

Volume | 7 |

Issue number | 4 |

Publication status | Published - 2017 |