1303.0873 (Yoon Seok Choun)

Lame equation in the algebraic form    [PDF]

Yoon Seok Choun

We consider the power series expansion of Lame function in the algebraic form and its integral forms applying three term recurrence formula by Choun. We show how to transform power series expansion of Lame function to an integral formalism mathematically in an elegant way for cases of infinite series and polynomial. And we show that integral form of Lame function involves $_2F_1$ function in itself analytically.

View original: http://arxiv.org/abs/1303.0873