@article {MATHEDUC.06166896,
author = {Anghel, Vinicius Nicolae Petre},
title = {A use of symmetry: generalization of an integral identity found by M. L. Glasser.},
year = {2013},
journal = {American Mathematical Monthly},
volume = {120},
number = {1},
issn = {0002-9890},
pages = {62-69},
publisher = {Mathematical Association of America (MAA), Washington, DC},
doi = {10.4169/amer.math.monthly.120.01.062},
abstract = {Summary: The integral identity found by {\it M. L. Glasser\/} [J. Phys. A, Math. Theor. 44, No. 22, Article ID 225202, 5 p. (2011; Zbl 1252.33012)] is generalized using the permutation symmetry of coordinates of an $n$-spherical surface simplex. The first calculation technique is simple to apply, but the second technique allows further generalization of M. L. Glasser's identity. Analogous results are discussed for the $n$-hemispherical surface of the unit $n$-sphere and for the entire surface of the $n$-sphere. The $n$-sphere surface result is used to generalize M. L. Glasser's solution to a problem proposed by {\it J. R. Bottiger\/} and {\it D. K. Cohoon\/} [``A normalization constant", SIAM Review 29, 302--303 (1987)].},
msc2010 = {I55xx},
identifier = {2013e.00610},
}