Jacobian Elliptic Functions |
Contents
Prolegomena i Lattices | 1 |
ii Elliptic functions in general | 16 |
iii The Weierstrassian functions | 26 |
24 other sections not shown
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Common terms and phrases
addition theorem aggregate algebraic argument basis branchpoints circle condition congruent constant multiple coperiodic copolar critical paths critical values defined denote differential equation double doubly periodic doubly periodic function elementary functions elliptic function elliptic integral equivalent expressed factor finite formulae func function f(z function pqu halfperiod Hence identical imaginary implies infinity integrand integrating functions inversion irreducible set Jacobian functions Jacobian system K₁ Landen lattice points leading coefficient logarithmic derivative meromorphic function modulus negative notation odd function origin parallelogram parameter path of integration plane poles and zeros positive pq'u primitive functions quarterperiods ratio rational function real values rectangle relation replace residue satisfied simple poles simple zeros singlevalued solution substitution theta functions tion transformation variable w₁ Weierstrassian