xameerJun 15, 2021
#Weierstrass zeta function w was called an integral of 2nd kind in #elliptic function theory; it is a log derivative of a theta function, so simple poles, with integer residues. decomposition of a (#meromorphic) elliptic function into pieces of '3 kinds' || as
a constant +
a
xameerJan 5, 2021
#elliptic function is a #meromorphic function that is periodic in two directions.
xameerNov 16, 2020

For #Lebesgue-integrable f(z)/f(z) integrable in abs value/ principle value v definitions -> standard definition of I

If f(z) is #meromorphic, Sokhotski–Plemelj theorem Relates principal v(I.f(z))over C w/ #meanvalue of I w contour +/-, st residue theorem can be applied to I

xameerNov 16, 2020

For #Lebesgue-integrable f(z)/f(z) integrable in abs value/ principle value v definitions -> standard definition of I

If f(z) is #meromorphic, Sokhotski–Plemelj theorem Relates principal v(I.f(z))over C w/ #meanvalue of I w contour +/-, st residue theorem can be applied to I