LEADER 04268nam 22008055 450 001 9910409844703321 005 20231110211905.0 010 $a9783110649673 010 $a3110649675 010 $a9783110653663 010 $a3110653664 024 7 $a10.1515/9783110653663 035 $a(CKB)4100000011288920 035 $a(DE-B1597)515819 035 $a(DE-B1597)9783110653663 035 $a(OCoLC)1158139751 035 $aEBL7015078 035 $a(AU-PeEL)EBL7015078 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/30788 035 $a(MiAaPQ)EBC7015078 035 $a(Perlego)2107155 035 $a(Au-PeEL)EBL7015078 035 $a(OCoLC)1330933306 035 $a(EXLCZ)994100000011288920 100 $a20200608h20202020 fg 101 0 $ager 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aZukunft Lernwelt Hochschule $ePerspektiven und Optionen für eine Neuausrichtung /$fAlexandra Becker, Richard Stang 205 $a1st ed. 210 $aBerlin/Boston$cDe Gruyter$d2020 210 1$aBerlin ;$aBoston : $cDe Gruyter Saur, $d[2020] 210 4$d©2020 215 $a1 online resource (XIV, 273 p.) 225 0 $aLernwelten 300 $aDescription based upon print version of record. 311 08$a9783110649468 311 08$a3110649462 327 $tFrontmatter -- $tVorwort zur Reihe -- $tDanksagung -- $tInhalt -- $tEinleitung -- $tZukunftsfähige Organisationsstrukturen gestalten -- $tNeues Studienmodell und organisatorische Herausforderungen -- $tDigitalisierung als Teil der Universitätsentwicklung -- $tVier Hochschulen ? eine Bibliothek -- $tOrganisation von Hochschule mitgestalten -- $tLehr- und Lernwelten der Zukunft -- $tNeue Lernwelten etablieren -- $tLehr-Lernkontexte in einer transformativen Fakultät -- $tLehre und Lernen mitbestimmen -- $tDigitalisierung in Studium und Lehre als strategische Chance für Hochschulen -- $tDigitale Strukturen im sozio-technischen Experimentierfeld -- $tDigitalisierung als gelebte Praxis -- $tStudentische Perspektiven auf die digitale Transformation der Hochschulen -- $tDas Selbststudium der Studierenden -- $tZentrale Lernflächen für die Fachhochschule Bielefeld -- $tZur Relevanz der Verknüpfung von Lernen, Raum und Organisation -- $tLehr- und Lernräume für Studierende gestalten -- $tInnovation als Transformation -- $tDie Zukunft der Lernwelt Hochschule gestalten -- $tAutorinnen, Autoren, Herausgeberin und Herausgeber -- $tRegister 330 $aAuf der Basis des Forschungsprojektes Lernwelt Hochschule wird in den verschiedenen Beiträgen über die Zukunft der Hochschulen unter den thematischen Foki Organisation, Hochschuldidaktik, physische Lehr-/Lernräume und digitale Strukturen diskutiert. In Zukunft wird entscheidend sein, die Hochschule als ganzheitliche bzw. integrierte Lernwelt zu etablieren. 330 $aBased on the findings of the college learning environment research project, this book includes a range of articles on the future of colleges focusing on organization, didactics, digital structures and physical learning or teaching spaces. In the future, a critical task will be establishing colleges as unified or integrated learning environments. 410 0$aLernwelten 606 $aColleges 606 $aHochschule 606 $aLearning Center 606 $aLernwelt 606 $alearning center 606 $alearning environment 610 $aColleges. 610 $alearning center. 610 $alearning environment. 615 4$aColleges. 615 4$aHochschule. 615 4$aLearning Center. 615 4$aLernwelt. 615 4$alearning center. 615 4$alearning environment. 676 $a020 700 $aStang$b Richard$4edt$0565592 702 $aBecker$b Alexandra, $4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aStang$b Richard, $4edt$4http://id.loc.gov/vocabulary/relators/edt 712 02$aHochschule der Medien$4fnd$4http://id.loc.gov/vocabulary/relators/fnd 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910409844703321 996 $aZukunft Lernwelt Hochschule$93602253 997 $aUNINA LEADER 04468nam 22006255 450 001 9910583594703321 005 20251113194550.0 010 $a3-030-95088-3 024 7 $a10.1007/978-3-030-95088-0 035 $a(CKB)5700000000101748 035 $a(MiAaPQ)EBC7041855 035 $a(Au-PeEL)EBL7041855 035 $a(OCoLC)1335127471 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/87685 035 $a(PPN)263897478 035 $a(ODN)ODN0010066366 035 $a(oapen)doab87685 035 $a(DE-He213)978-3-030-95088-0 035 $a(EXLCZ)995700000000101748 100 $a20220706d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions /$fby Jean-Luc Marichal, Naïm Zenaïdi 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (xviii, 323 pages) 225 1 $aDevelopments in Mathematics,$x2197-795X ;$v70 311 1 $a3-030-95087-5 327 $aPreface -- List of main symbols -- Table of contents -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Uniqueness and existence results -- Chapter 4. Interpretations of the asymptotic conditions -- Chapter 5. Multiple log-gamma type functions -- Chapter 6. Asymptotic analysis -- Chapter 7. Derivatives of multiple log-gamma type functions -- Chapter 8. Further results -- Chapter 9. Summary of the main results -- Chapter 10. Applications to some standard special functions -- Chapter 11. Definining new log-gamma type functions -- Chapter 12. Further examples -- Chapter 13. Conclusion -- A. Higher order convexity properties -- B. On Krull-Webster's asymptotic condition -- C. On a question raised by Webster -- D. Asymptotic behaviors and bracketing -- E. Generalized Webster's inequality -- F. On the differentiability of \sigma_g -- Bibliography -- Analogues of properties of the gamma function -- Index. 330 $aIn 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization. The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory. 410 0$aDevelopments in Mathematics,$x2197-795X ;$v70 606 $aSpecial functions 606 $aDifference equations 606 $aFunctional equations 606 $aSpecial Functions 606 $aDifference and Functional Equations 615 0$aSpecial functions. 615 0$aDifference equations. 615 0$aFunctional equations. 615 14$aSpecial Functions. 615 24$aDifference and Functional Equations. 676 $a515.5 686 $aMAT034000$2bisacsh 700 $aMarichal$b Jean-Luc$01255007 701 $aZenaïdi$b Naïm$01255008 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910583594703321 996 $aGeneralization of Bohr-Mollerup's Theorem for Higher Order Convex Functions$94161042 997 $aUNINA