Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Group theory --- Mathematical analysis --- Functions, Special --- Fonctions spéciales --- Special functions --- Functions, Special. --- Fonctions spéciales --- Groupes topologiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial differential equations --- Symmetry (Physics) --- Functions, Special --- Differential equations, Partial --- Separation of variables --- Symétrie (Physique) --- Fonctions spéciales --- Equations aux dérivées partielles --- Numerical solutions --- Solutions numériques --- 517.9 --- 517.5 --- -Functions, Special --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Conservation laws (Physics) --- Physics --- Variables, Separation of --- Special functions --- Mathematical analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Theory of functions --- Functions, Special. --- Separation of variables. --- Numerical solutions. --- Symmetry (Physics). --- 517.5 Theory of functions --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Symétrie (Physique) --- Fonctions spéciales --- Equations aux dérivées partielles --- Solutions numériques --- Numerical analysis --- Differential equations, Partial - Numerical solutions

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and useful area of mathematics. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, many important but relatively unknown nineteenth century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics, and applications to combinatorial problems. The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This clearly expressed and readable work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics.

Functions, Special. --- Special functions --- Mathematical analysis --- Functions, Special --- Fonctions spéciales --- Hypergeometric functions. --- Hypergeometric series.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)