TY - BOOK AU - TI - Introduction to special functions T2 - UNITEXT-La Mathematica per il 3+2, SN - 9783319413440 U1 - 517.5 PY - 2016/// CY - Switzerland PB - Springer KW - Functional analysis KW - Functions of complex variables KW - Functions of real variables KW - Special functions KW - Picard theorems KW - Weierstrass factorization KW - Bernoulli numbers KW - Bernoulli polynomials KW - Euler gamma-function KW - Hypergeometric functions N2 - 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 function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in "higher calculus" and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics UR - https://link.springer.com/content/pdf/bfm:978-3-319-41345-7/1 UR - https://www.goodreads.com/book/show/30420543-an-introduction-to-special-functions?ref=nav_sb_ss_1_13#CommunityReviews ER -