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010   $a3-319-41345-7
024 7 $a10.1007/978-3-319-41345-7
035   $a(CKB)3710000001006477
035   $a(DE-He213)978-3-319-41345-7
035   $a(MiAaPQ)EBC6314169
035   $a(MiAaPQ)EBC5590863
035   $a(Au-PeEL)EBL5590863
035   $a(OCoLC)962748987
035   $a(PPN)197138012
035   $a(EXLCZ)993710000001006477
100   $a20161102d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 13$aAn Introduction to Special Functions /$fby Carlo Viola
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (VIII, 168 p.) 
225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v102
311   $a3-319-41344-9 
327   $a1 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.
330   $aThe subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in "higher calculus" and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.
410  0$aLa Matematica per il 3+2,$x2038-5722 ;$v102
606   $aFunctions of complex variables
606   $aFunctional analysis
606   $aFunctions of real variables
606   $aSpecial functions
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
615  0$aFunctions of complex variables.
615  0$aFunctional analysis.
615  0$aFunctions of real variables.
615  0$aSpecial functions.
615 14$aFunctions of a Complex Variable.
615 24$aFunctional Analysis.
615 24$aReal Functions.
615 24$aSpecial Functions.
615 24$aSeveral Complex Variables and Analytic Spaces.
676   $a515.5
700   $aViola$b Carlo$4aut$4http://id.loc.gov/vocabulary/relators/aut$062490
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254090003321
996   $aIntroduction to special functions$91523136
997   $aUNINA