An Improper Integral with a Square Root

نویسندگان

  • FENG QI
  • F. QI
چکیده

In the paper, the author presents explicit and unified expressions for a sequence of improper integrals in terms of the beta functions and the Wallis ratios. Hereafter, the author derives integral representations for the Catalan numbers originating from combinatorics.

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تاریخ انتشار 2016