l’Hôpital’s Rule for Multivariable Functions

Multivariable Appell Functions

Multivariable Appell functions show up in the work of Kac and Wakimoto in the computation of character formulas for certain s`(m, 1)∧ modules. Recently Bringmann and Ono showed that the character formulas for the s`(m, 1)∧ modules L(Λ(s)), where L(Λ(s)) is the irreducible s`(m, 1) ∧ module with highest weight Λ(s), can be seen as the “holomorphic parts” of certain nonholomorphic modular functio...

Multivariable Utility Functions

Utility functions of several variables are ubiquitous in economics. Their maximization requires inversion of the gradient map. Using convex analysis tools, we provide a representation of an extension of this inverse that accounts for possible constraints. To solve economic equilibrium problems, the utility functions of the agents are frequently aggregated into a representative (agent’s) utility...

Maximization of Multivariable Functions Using Interval Analysis

Fuzzy Objective Functions in Multivariable Predictive Control

In order to incorporate fuzzy goals and constraints in model predictive control, this control technique have recently been integrated with fuzzy decision making. The goals and the constraints of the control problem are combined by using a decision function from the theory of fuzzy sets. This technique have been studied for single-input single-output processes. This paper extends this approach f...

Multivariable Regular Variation of Functions and Measures

Regular variation is an asymptotic property of functions and measures. The one variable theory is well–established, and has found numerous applications in both pure and applied mathematics. In this paper we present several new results on multivariable regular variation for functions and measures.