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[null,"1.","Record Nr.",null,"UNISA996391490603316"]
[null,null,"Titolo",null,"Responce a la protestation, faicte par l'ambassadeur du Roy Treschrestien de la part dudict Roy so[n] maistré, à la Royne d'angleterre, le vingtiesme iour d'apuril [[electronic resource]]"]
[null,null,"Pubbl/distr/stampa",null,"[London, : Printed by Richard Jugge and John Cawood], Anno. 1.5.60"]
[null,null,"Descrizione fisica",null,"[64] p"]
[null,null,"Soggetti",null,"Great Britain Foreign relations France Early works to 1800"]
[{"$nulls":4},"Great Britain Foreign relations 1558-1603 Early works to 1800"]
[{"$nulls":4},"France Foreign relations Great Britain Early works to 1800"]
[null,null,"Lingua di pubblicazione",null,"Francese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","A translation of: Responsum ad protestationem, quam orator Regis Gallorum, nomine sui principis, serenissimÃ¦ AngliÃ¦ ReginÃ¦ obtulit xx. die Aprilis, anno Domini M.D.LX."]
[{"$nulls":4},"Colophon reads: A Londres. Par Rychard Iugge, & Iehan Cavvod .."]
[{"$nulls":4},"Signatures: A-D."]
[{"$nulls":4},"The last leaf is blank."]
[{"$nulls":4},"Issued with: Protestation faicte de la part du Roy Treschrestien (STC 11309.7)."]
[{"$nulls":4},"Identified as part of STC 9183+ on UMI microfilm reel 215."]
[{"$nulls":4},"Reproduction of the original in the Henry E. Huntington Library and Art Gallery."]
[null,null,null,"Sommario/riassunto","eebo-0113"]
[null,"2.","Record Nr.",null,"UNISA996483153603316"]
[null,null,"Autore",null,"Marichal Jean-Luc"]
[null,null,"Titolo",null,"A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi"]
[null,null,"Pubbl/distr/stampa",null,"Cham, : Springer Nature, 2022"]
[{"$nulls":4},"Cham : , : Springer International Publishing AG, , 2022"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"3-030-95088-3"]
[null,null,"Descrizione fisica",null,"1 online resource (xviii, 323 pages)"]
[null,null,"Collana",null,"Developments in mathematics ; v.70"]
[null,null,"Soggetti",null,"Convex functions"]
[{"$nulls":4},"Gamma functions"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Preface List of main symbols Table of contents Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Uniqueness and existence results Chapter 4. Interpretations of the asymptotic conditions Chapter 5. Multiple log-gamma type functions Chapter 6. Asymptotic analysis Chapter 7. Derivatives of multiple log-gamma type functions Chapter 8. Further results Chapter 9. Summary of the main results Chapter 10. Applications to some standard special functions Chapter 11. Defining new log-gamma type functions Chapter 12. Further examples Chapter 13. Conclusion A. Higher order convexity properties B. On Krull-Webster's asymptotic condition C. On a question raised by Webster D. Asymptotic behaviors and bracketing E. Generalized Webster's inequality F. On the differentiability of \\sigma_g Bibliography Analogues of properties of the gamma function Index"]
[null,null,null,"Sommario/riassunto","In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this "]
[{"$nulls":4},"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."]