In 1904 he extended Whittaker's solution of the potential and wave equation by definite integrals to more general partial differential equations. |
Both the peak values and the integrals under the characteristic fluorescence curves were measured. |
Galois, after reading Abel and Jacobi's work, worked on the theory of elliptic functions and abelian integrals. |
He found expressions for the Bessel functions as integrals involving Legendre functions. |
His work on algebra was an extension of Abel's work on algebraic functions and their integrals. |
Then of course the relevant integrals involve odd functions, and it results that the centroid lies on the y-axis. |