1303.0879 (Yoon Seok Choun)

The generating functions of Lame equation in the Weierstrass's form    [PDF]

Yoon Seok Choun

Generating functions are extremely important in modern physics; Quantum mechanics, black hole, supersymmetry, etc also in mathematics; number theory, special functions, etc. Because we obtain expectation values of any physical quantities from generating functions; think about expectation values of position and momentum in the case of hydrogen-like atoms. We consider generating functions of Lame function in the Weierstrass's form including all higher terms of $A_n$'s; applying integral forms of Lame functions in the Weierstrass's form by Choun.

View original: http://arxiv.org/abs/1303.0879