# Remarkable properties of the sincp,q functions and related integrals

Houry Melkonian, Shingo Takeuchi

## 抄録

Different types of sinc integrals are investigated when the standard sine function is replaced by the generalised sinp,q in two parameters. A striking generalisation of the improper Dirichlet integral is achieved. A second surprising but interesting generalisation of the identity between the Dirichlet integral and that of the integrand sinc2 is discovered. Moreover, an asymptotically sharpened form of Ball's integral inequality is obtained in terms of two parameters.

本文言語 English 124981 Journal of Mathematical Analysis and Applications 499 1 https://doi.org/10.1016/j.jmaa.2021.124981 Published - 2021 7 1

• 分析
• 応用数学

## フィンガープリント

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