LEADER 03999nam 22011295 450 001 9910154746503321 005 20190708092533.0 010 $a1-4008-8237-0 024 7 $a10.1515/9781400882373 035 $a(CKB)3710000000628068 035 $a(MiAaPQ)EBC4738712 035 $a(DE-B1597)468023 035 $a(OCoLC)979836553 035 $a(DE-B1597)9781400882373 035 $a(EXLCZ)993710000000628068 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 13$aAn Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 /$fClifford Truesdell 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1949 215 $a1 online resource (197 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v348 311 $a0-691-09577-9 320 $aBibliography. 327 $tPREFACE -- $tTABLE OF CONTENTS -- $tChapter I. The Object and Plan of This Essay -- $tChapter II. Reduction to The F-Equation -- $tChapter III. Existence and Uniqueness Theorems -- $tChapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, ?O) = ? (z) -- $tChapter V. Remarks on Solutions Such That F(z, ?O) = ? (z) -- $tChapter VI. Conclusions and Unsolved Problems -- $tAppendix I. Special Functions -- $tAppendix II. Operators -- $tAppendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- $tBibliography 330 $aThe description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vno. 18. 606 $aFunctional equations 610 $aAddition. 610 $aAntiderivative. 610 $aAsymptotic formula. 610 $aBessel function. 610 $aBeta function. 610 $aBoundary value problem. 610 $aChange of variables. 610 $aClosed-form expression. 610 $aCoefficient. 610 $aCombination. 610 $aContinuous function. 610 $aCorollary. 610 $aDifferential equation. 610 $aEnumeration. 610 $aEquation. 610 $aExistential quantification. 610 $aExplicit formula. 610 $aExponential function. 610 $aFactorial. 610 $aFunction (mathematics). 610 $aFunctional equation. 610 $aHermite polynomials. 610 $aHypergeometric function. 610 $aInteger. 610 $aLaguerre polynomials. 610 $aLaplace transform. 610 $aLegendre function. 610 $aLinear difference equation. 610 $aLinear differential equation. 610 $aMathematical induction. 610 $aMathematician. 610 $aMonomial. 610 $aNatural number. 610 $aNumber theory. 610 $aOrdinary differential equation. 610 $aParameter. 610 $aPeriodic function. 610 $aPolygamma function. 610 $aPolynomial. 610 $aPotential theory. 610 $aPower series. 610 $aRectangle. 610 $aRecurrence relation. 610 $aRemainder. 610 $aScientific notation. 610 $aSequent. 610 $aSimple function. 610 $aSingular solution. 610 $aSpecial case. 610 $aSpecial functions. 610 $aSummation. 610 $aTheorem. 610 $aTheory. 610 $aUniqueness theorem. 610 $aVariable (mathematics). 610 $aWithout loss of generality. 615 0$aFunctional equations. 676 $a517.5 700 $aTruesdell$b Clifford, $017725 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154746503321 996 $aAn Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18$92785797 997 $aUNINA