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LEADER: 02243cam a22003137a 4500
001 2010280023
003 DLC
005 20110628092957.0
008 100617s2007 si a b 001 0 eng d
010 $a 2010280023
015 $aGBA950988$2bnb
016 7 $a015107158$2Uk
020 $a9789812707741
020 $a9812707743
035 $a(OCoLC)ocn156823801
040 $aBTCTA$cBTCTA$dYDXCP$dBAKER$dUUM$dOCLCG$dSTF$dUKM$dOKU$dI8H$dDLC
042 $alccopycat
050 00 $aQA351$b.K35 2007
082 04 $a515.5$222
100 1 $aKanemitsu, Shigeru.
245 10 $aVistas of special functions /$cShigeru Kanemitsu & Haruo Tsukada.
260 $aSingapore ;$aHackensack, NJ :$bWorld Scientific,$cc2007.
300 $axii, 215 p. :$bill. ;$c24 cm.
504 $aIncludes bibliographical references (p. 207-211) and index.
505 0 $aThe theory of Bernoilli and allied polynomials -- The theory of the gamma and related functions -- The theory of the Hurwitz-Lerch zeta-functions -- The theory of Bernoulli polynomilas [sic] via zeta-functions -- The theory of the gamma and related functions via zeta-functions -- The theory of Bessel functions and the Epstein zeta-functions -- Fourier series and Fourier transforms -- Around Dirichlet's L-functions -- Appendix A : Complex functions -- Appendix B : Summation formulas and convergence theorems.
520 $aThis is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The Fourier series for the (first) periodic Bernoulli polynomial is effectively used, familiarizing the reader with the relationship between special functions and zeta-functions.
650 0 $aFunctions, Special.
650 0 $aBernoulli polynomials.
700 1 $aTsukada, Haruo,$d1961-