### Abstract

Discrete Chebyshev-type inequalities are established for sequences of modified Bessel functions of the first and second kind, recognizing that the sums involved are actually Neumann series of modified Bessel functions I _{ν} and K _{ν} . Moreover, new closed integral expression formulae are established for the Neumann series of second type, which occur in the discrete Chebyshev inequalities.

Original language | English |
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Title of host publication | Analytic Number Theory, Approximation Theory, and Special Functions |

Subtitle of host publication | In Honor of Hari M. Srivastava |

Publisher | Springer New York |

Pages | 809-820 |

Number of pages | 12 |

Volume | 9781493902583 |

ISBN (Electronic) | 9781493902583 |

ISBN (Print) | 1493902571, 9781493902576 |

DOIs | |

Publication status | Published - Nov 1 2014 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Baricz, Á., & Pogány, T. K. (2014). Properties of the product of modified bessel functions. In

*Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava*(Vol. 9781493902583, pp. 809-820). Springer New York. https://doi.org/10.1007/978-1-4939-0258-3_31