We present a definition of holomorphic function and an approach to the Cauchy theory that presents complex function theory as a natural outgrowth of multivariable calculus. Journal Information ...

How to turn the complex mathematics of vector calculus into simple pictures Feynman diagrams revolutionized particle physics. Now mathematicians want to do the same for vector calculus.

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.

ES_APPM 312: Methods of Applied Mathematics: Complex Variables VIEW ALL COURSE TIMES AND SESSIONS Prerequisites Multivariable Calculus Description This course will introduce you to the theory of ...

We first define the q-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of ...