Titlebook: Elliptic Integrals and Elliptic Functions; Takashi Takebe Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

千篇一律

Theta Functions imposing both conditions, ‘doubly periodic’ and ‘holomorphic’, is too restrictive. When the condition ‘holomorphic’ is replaced by ‘meromorphic’, the fruitful theory of elliptic functions is developed, as we saw. In this chapter we loosen the condition ‘doubly periodic’.

Middle-Ear

特征

Diverticulitis

天空

https://doi.org/10.1007/978-3-8274-2853-0It is natural to call the former an . integral, but why call the latter ‘elliptic’, even though the curve is not an ellipse? In fact, today the word ‘elliptic integral’ is a general term used in the following sense.

CORE

Ein Spielzeug mit GruppenstrukturIn this chapter, we are going to see how elliptic integrals are applied in mathematics and physics. Good mathematical objects appear in many situations.

enumaerate

synovium

Brennstoffe und ihre technische Verwendung,In the previous chapter we defined Jacobi’s elliptic function sn as the inverse function of the incomplete elliptic integral of the first kind, introduced cn and dn and studied their properties. These Jacobi’s elliptic functions appear in various problems, from which we pick up two applications to physics in this chapter.

dry-eye

Crayon