Special Functions

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Chapter Overview

Special Functions

Special functions are mathematical functions that arise frequently in engineering, physics, and applied mathematics. They include functions such as Bessel functions, Legendre polynomials, and Gamma functions, which have unique properties and applications in solving complex problems. In SepalSolver, we implement various special functions to provide engineers with tools for advanced mathematical modeling and analysis.

Special functions are widely used in applications such as signal processing, quantum mechanics, and fluid dynamics. They help in solving differential equations, performing integral transforms, and modeling physical phenomena.

In this chapter, we will explore different special functions, their implementations in SepalSolver, and practical examples demonstrating their applications.

Sections in this chapter

  1. 04.1Orthogonal Polynomials4 units · 6 examples · 19 min
  2. 04.2Bessel Functions2 units · 5 examples · 23 min
  3. 04.3Error Functions6 units · 6 examples · 17 min
  4. 04.4Mittag-Leffler Functions4 units · 1 examples · 4 min
  5. 04.5Exercise On Special FunctionsNot yet written in the book
Start: Orthogonal Polynomials