Real and complex functions form the backbone of modern mathematical analysis, uniting the study of continuity, differentiability, and integrability on the real line with the rich structure of analytic ...

These functions, which are characterised by their upper semi-continuity and subharmonicity along complex lines, are instrumental in formulating and solving complex Monge-Ampère equations.

The Millennium Prize Problems, announced in 2000 by the Clay Mathematics Institute in the United States, are problems with a prize of $1 million (approximately 160 million yen). One of these problems ...

Archive for History of Exact Sciences, Vol. 61, No. 5 (September 2007), pp. 457-518 (62 pages) In his writings about hypergeometric functions Gauss succeeded in moving beyond the restricted domain of ...

If standard quantum theory holds up, imaginary numbers are critical. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Imaginary numbers are ...