Remarkable properties of the sincp,q functions and related integrals

Houry Melkonian, Shingo Takeuchi

研究成果: Article査読

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
論文番号124981
ジャーナルJournal of Mathematical Analysis and Applications
499
1
DOI
出版ステータスPublished - 2021 7 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

フィンガープリント 「Remarkable properties of the sinc<sub>p,q</sub> functions and related integrals」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル