Glasser, M.L. and Manna, Dante (2007) *On the Laplace Transform of the Psi Function.* [UNSPECIFIED] (In Press)

| PDF Download (130Kb) | Preview |

## Abstract

Guided by numerical experimentation, we have been able to prove that $$ \frac{8}{\pi}\int_0^{\pi/2}\frac{x^2}{x^2+\ln^2[2\cos(x)]}dx=1-\gamma+\ln(2\pi) $$ and to establish a connection with the Laplace transform of $\psi(t+1)$.

Item Type: | UNSPECIFIED |
---|---|

Additional Information: | pubdom FALSE |

Subjects: | 26-xx Real functions > 26Axx Functions of one variable |

Faculty: | UNSPECIFIED |

Depositing User: | Dante Manna |

Date Deposited: | 13 Aug 2007 |

Last Modified: | 27 Apr 2010 16:45 |

URI: | https://docserver.carma.newcastle.edu.au/id/eprint/375 |

### Actions (login required)

View Item |