Functional Equations Laboratory
Discovering new functions in unsolvable equations
Various functions that the students learn up till the first year of universities, such as trigonometric functions and exponential functions, are called “elementary functions” and serve as the basis for formulating changes and shapes. But there are many phenomena such as large oscillations of a pendulum or the shape the moving rope takes when used in rope-skipping, which cannot be set to formulae without using “special functions.” Our laboratory aims to discover unique special functions and their applications by researching the mathematical structure and characteristics of certain relational expressions (functional equations, in particular differential equations).
|Faculty of Engineering||Mathematical Sciences|
|Faculty Name||Shingo Takeuchi|
|Academic Society||The Mathematical Society of Japan|
American Mathematical Society
Mathematics Education Society of Japan
|Keyword||Differential equation theory, Functional analyses, Nonlinear, Functions, Mathematical analyses, Mathematical analyses, Mathematical science, Equations, Theories|
For SocietyMathematics is the abstraction of common notions that appear in our daily life and the underlying sciences. If the knowledge of engineering can help students “acquire a trade,” that of sciences will help them “color the brain.” Among them, the graduates of the Department of Mathematical Sciences are expected to do well in broad job fields.
- Research on the peculiarity of a solution to a nonlinear differential equation
- Research on the generalization of trigonometric functions and elliptic integrals