Title | Double-sided bounds for hypergeometric functions with relations on parameters |
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Authors | I. A. Maruseev^{1}, M. A. Pisarev^{1}, A. E. Rassadin^{1}^{1}HSE University |

Annotation | In the work, using the direct and reverse Ho¨lder inequalities in integral form, estimates from below and from above for a hypergeometric function with a linear relationship between its parameters are found. In addition, to determine the effectiveness of estimates obtained, such values of the parameters of hypergeometric functions were selected, in which they are expressed in terms of elementary functions. |

Keywords | Pochhammer symbol, Chebyshev theorem, relative error. |

Citation | Maruseev I. A., Pisarev M. A., Rassadin A. E. ''Double-sided bounds for hypergeometric functions with relations on parameters'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 125-128. Available at: https://conf.svmo.ru/files/2024/papers/paper21.pdf. - Date of access: 12.11.2024. |

**© SVMO, National Research Mordovia State University, 2024**

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