000			02073nam a22003497a 4500
003			OSt
005			20241022180231.0
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020			_a9783319413440
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a517.5 _bVIO-I
100			_4Viola, Carlo
245			_aIntroduction to special functions
260			_aSwitzerland : _bSpringer, _c2016.
300			_aviii, 168p.
490			_aUNITEXT-La Mathematica per il 3+2, _v102 _x2038-5722;
520			_aThe 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.
650			_aFunctional analysis
650			_aFunctions of complex variables
650			_aFunctions of real variables
650			_aSpecial functions
650			_aPicard theorems
650			_aWeierstrass factorization
650			_aBernoulli numbers
650			_aBernoulli polynomials
650			_aEuler gamma-function
650			_aHypergeometric functions
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-319-41345-7/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/30420543-an-introduction-to-special-functions?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35337 _d35337