Zbl 0308.12003, [5] Morita, Y. We show how various known results concerning the Barnes multiple zeta and gamma functions can be obtained as specializations of simple features shared by a quite extensive class of functions. Zbl 0308.12003, | Posté par . Annales de l'Institut Fourier, Tome 58 (2008) no. AU - Berndt, Bruce C. PY - 1985. MR 441924 Both of these new approaches to the Barnes functions give rise to novel integral representations. Amer. MR 718674, | To generalize and extend this approach to additional lymphocyte-activating molecules, we designed and constructed chimeric genes composed of a single-chain Fv domain (scFv) of an antibody linked with gamma or zeta chains, the common signal-transducing subunits of the immunoglobulin receptor and the TCR. MR 1760253 | Zbl 0382.12008, [3] Friedman, E.; Ruijsenaars, S. N. M. Shintani-Barnes zeta and gamma functions, Adv. Copyright © 2000 Academic Press. MR 424762 | Zbl 0329.12017, [10] Washington, L. Introduction to Cyclotomic Fields, Springer-Verlag, Berlin, 1982 | | Sci. T1 - The gamma function and the Hurwitz zeta-function. We also prove a Raabe-type formula for p-adic Hurwitz zeta functions. Nous démontrons aussi une formule de type Raabe pour les fonctions zêta de Hurwitz p-adiques. | Research output: Contribution to journal › Article › peer-review. in Math., Tome 187 (2004), pp. TY - JOUR. Y1 - 1985. La formule de Raabe classique donne la valeur de l’intégrale de la fonction log gamma d’Euler sur un intervalle de longueur 1. | Univ. Number Theory, Tome 8 (1976), pp. The pertinent functions involve Laplace transforms, and their asymptotics is obtained by exploiting this. 255-266 On the Hurwitz-Lerch L-functions, J. Fac. Nous calculons des intégrales p-adiques analogues pour les fonctions log gamma p-adiques de Diamond et de Morita, et nous montrons que chacune de ces fonctions est caractérisée de manière unique par son équation fonctionnelle et sa formule de Raabe p-adique. Zbl 0356.12019, | U2 - 10.2307/2322640. Zbl 0947.11035, [8] Schikhof, W. H. An Introduction to Ultrametric Calculus, Cambridge, Cambridge University Press, 1984 [1] Andrews, G.; Askey, R.; Roy, R. Special Functions, Cambridge University Press, Cambridge, 2000 362-395 Zbl 0484.12001. Sci. MR 1688958, | Die Riemannsche Zeta-Funktion, auch Riemannsche ζ-Funktion oder Riemannsche Zetafunktion (nach Bernhard Riemann), ist eine komplexwertige, spezielle mathematische Funktion, die in der analytischen Zahlentheorie, einem Teilgebiet der Mathematik, eine wichtige Rolle spielt.Erstmals betrachtet wurde sie im 18. All rights reserved. | Jahrhundert von Leonhard Euler, der sie im Rahmen des Basler Problems untersuchte. tealc re : Fonction zêta 03-07-06 à 12:44. et effectivement ca m'intéresse (même si je priviligie la fonction zêta de Riemann que celle d'Hurwitz) donc merci. Univ. MR 406982 | @article{18836fc0a71640c6855ec59306184947. La dérivée partielle de la fonction zeta est une suite de Sheffer : , Ainsi, la série de Taylor peut être écrite comme suit : , ----- je reposte. We compute p-adic integrals of the p-adic logΓ-functions, both Diamond’s and Morita’s, and show that each of these functions is uniquely characterized by its difference equation and p-adic Raabe formula. By continuing you agree to the use of cookies. The gamma function and the Hurwitz zeta-function. 245-250 DO - 10.2307/2322640 | Soc., Tome 233 (1977), pp. | | Gamma Zeta Alpha Fraternity, Inc. (ΓΖΑ) was founded on December 3, 1987 at California State University, Chico in Chico, California.It is a Latino Interest fraternity that emphasizes Latino culture and the success of Latino males in higher education. MR 718674 Zbl 1075.33500, | MR 406982, | | We show how various known results concerning the Barnes multiple zeta and gamma functions can be obtained as specializations of simple features shared by a quite extensive class of functions. publisher = "Mathematical Association of America", The gamma function and the Hurwitz zeta-function. Tokyo Sect. Posté par . We use cookies to help provide and enhance our service and tailor content and ads. Article IA Math., Tome 22 (1975), pp. ISSN : 0373-0956 - 1, pp. A p-adic analogue of the Γ-function, J. Fac. Zbl 0356.12019, [6] Nielsen, N. Handbuch der Theorie der Gammafunktion, Chelsea, New York, 1965 (reprint of 1906 edition), [7] Robert, A. MR 2078341 | Zbl 0329.12017, | Zbl 0947.11035, | MR 498503, | By continuing you agree to the use of cookies, University of Illinois at Urbana-Champaign data protection policy, University of Illinois at Urbana-Champaign contact form. Zbl 0553.26006, [9] Washington, L. A note on p-adic L-functions, J. 363-376. MR 498503 title = "The gamma function and the Hurwitz zeta-function". A Course in p-adic Analysis, Springer-Verlag, Berlin, 2000 / Berndt, Bruce C. T1 - The gamma function and the Hurwitz zeta-function, Powered by Pure, Scopus & Elsevier Fingerprint Engine™ © 2020 Elsevier B.V, "We use cookies to help provide and enhance our service and tailor content. 29-43 Tokyo Sect. | We also demonstrate how Barnes' multiple zeta and gamma functions fit into a recently … | e-ISSN : 1777-5310, [ Formules de Raabe pour les fonctions gamma et zêta, | MR 791759 | Zbl 1075.33500, [2] Diamond, J. MR 1688958 journal = "American Mathematical Monthly". Zbl 02105047, [4] Morita, Y. MR 1760253, | The p-adic log gamma function and p-adic Euler constants, Trans. Article, | Math. | | MR 791759, | | IA Math., Tome 24 (1977), pp. Zbl 0484.12001. Fonctions zeta de Riemann et fonction gamma : exercice de mathématiques de niveau LicenceMaths 2e/3e a - Forum de mathématiques The pertinent functions involve Laplace transforms, and their asymptotics is obtained by exploiting this. MR 441924, | | 321-337 MR 2078341, | ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. On Barnes' Multiple Zeta and Gamma Functions. fabuloso Fonction zêta 03-07-06 à 12:45. Article MR 424762, | Zbl 0553.26006, | Zeta has weakened to a tropical storm but is expected to regain hurricane strength as it moves over the southern Gulf of Mexico on Tuesday, the U.S. National Hurricane Center said. The classical Raabe formula computes a definite integral of the logarithm of Euler’s Γ-function. Raabe’s formula for p-adic gamma and zeta functions ... La formule de Raabe classique donne la valeur de l’intégrale de la fonction log gamma d’Euler sur un intervalle de longueur 1. We also demonstrate how Barnes' multiple zeta and gamma functions fit into a recently developed theory of minimal solutions to first order analytic difference equations. Copyright © 2020 Elsevier B.V. or its licensors or contributors. Zbl 0382.12008, | Zbl 02105047, |
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