论文标题
fonctionsspécialesetpolynômesorthogonaux：outers et练习corrigés
Fonctions spéciales et polynômes orthogonaux: cours et exercices corrigés
论文作者
论文摘要
该报告（用法语编写）致力于研究物理中最常用的特殊功能。特殊功能是数学，理论物理和数学物理学的非常广泛的分支。他们出现在19世纪作为数学物理方程的解决方案，尤其是二次和四个顺序的部分微分方程。他们的知识对于正确处理和理解物理学问题至关重要。它们还与物理和数学科学计算的艺术有关。特殊功能包括在MATLAB，Mathematica和Maple等许多计算机代数软件中，强烈鼓励学生参加这一开发项目，这对于治疗当前所有物理学的所有问题都是必不可少的。手稿包含六个章节：伽玛和β函数，贝塞尔函数，菲涅尔误差和积分函数，指数积分，正弦积分，余弦积分和对数积分，正交多项式以及最终超地球函数。
This report (written in French) is devoted to studying special functions the most used in physics. Special functions are a very broad branch of mathematics, theoretical physics, and mathematical physics. They appeared in the nineteenth century as solutions of equations in mathematical physics, particularly partial differential equations of order two and four. Their knowledge is essential for the proper handling and understanding of current problems in physics. They are also related to the art of scientific computing in physics and mathematics. Special functions are included in many computer algebra software such as Matlab, Mathematica, and Maple, and students are strongly encouraged to take part in this development which has become indispensable for the treatment of almost all current problems in physics. The manuscript contains six chapters: gamma and beta functions, Bessel functions, Fresnel error, and integral function, exponential integral, sine integral, cosine integral, and logarithm integral, orthogonal polynomials, and finally hypergeometric functions.
