Ramanujan beta integral
(0.000 seconds)
9 matching pages
1: 5.13 Integrals
Ramanujan’s Beta Integral
…2: Bibliography P
3: 17.13 Integrals
§17.13 Integrals
… ►Ramanujan’s Integrals
►4: Bibliography R
5: Bibliography C
6: Bibliography K
7: Bibliography D
8: Bibliography
9: Errata
In the asymptotic expansion, as , on the right-hand side, we have removed an incorrect multiplicative factor of .
Suggested by Tianye Liu on 2024-03-18
Just above the paragraph Ramanujan’s Summation, a paragraph Analytic Continuation was inserted describing the analytic continuation of the formulas which follow.
In both equations, the second entry in the has been corrected with an extra minus sign.
Two corrections have been made in this paragraph. First, the correct range of the initial displacement is . Previously it was . Second, the correct period of the oscillations is . Previously it was given incorrectly as .
Reported 2014-05-02 by Svante Janson.
Originally the differential was identified incorrectly as ; the correct differential is .
Reported 2011-04-08.