An Introduction to Special Functions

• Main Author: Viola, Carlo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: UNITEXT, 102
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Functions of real variables.; Special functions.; Functions of a Complex Variable.; Functional Analysis.; Real Functions.; Special Functions.; Several Complex Variables and Analytic Spaces.

The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric fu...

Table of Contents:

• 1 Picard’s Theorems
• 2 The Weierstrass Factorization Theorem
• 3 Entire Functions of Finite Order
• 4 Bernoulli Numbers and Polynomials
• 5 Summation Formulae
• 6 The Euler Gamma-Function
• 7 Linear Differential Equations
• 8 Hypergeometric Functions.