journal = "American Mathematical Monthly". Tokyo Sect. The pertinent functions involve Laplace transforms, and their asymptotics is obtained by exploiting this. | 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 406982, | Y1 - 1985. | 245-250 Both of these new approaches to the Barnes functions give rise to novel integral representations. MR 424762, | e-ISSN : 1777-5310, [ Formules de Raabe pour les fonctions gamma et zêta, | 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. MR 791759, | MR 406982 @article{18836fc0a71640c6855ec59306184947. | 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. Zbl 0329.12017, [10] Washington, L. Introduction to Cyclotomic Fields, Springer-Verlag, Berlin, 1982 Zbl 0382.12008, [3] Friedman, E.; Ruijsenaars, S. N. M. Shintani-Barnes zeta and gamma functions, Adv. Sci. TY - JOUR. | IA Math., Tome 22 (1975), pp. Article MR 1760253 Nous démontrons aussi une formule de type Raabe pour les fonctions zêta de Hurwitz p-adiques. We use cookies to help provide and enhance our service and tailor content and ads. IA Math., Tome 24 (1977), pp. Soc., Tome 233 (1977), pp. All rights reserved. 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. MR 441924, | | Zbl 0329.12017, | 363-376. | 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. Zbl 0356.12019, [6] Nielsen, N. Handbuch der Theorie der Gammafunktion, Chelsea, New York, 1965 (reprint of 1906 edition), [7] Robert, A. Article Sci. | | MR 1760253, | MR 424762 29-43 Zbl 0947.11035, [8] Schikhof, W. H. An Introduction to Ultrametric Calculus, Cambridge, Cambridge University Press, 1984 The pertinent functions involve Laplace transforms, and their asymptotics is obtained by exploiting this. Research output: Contribution to journal › Article › peer-review. Zbl 02105047, | Zbl 0308.12003, [5] Morita, Y. A p-adic analogue of the Γ-function, J. Fac. T1 - The gamma function and the Hurwitz zeta-function. Amer. MR 441924 The p-adic log gamma function and p-adic Euler constants, Trans. Zbl 0356.12019, | fabuloso Fonction zêta 03-07-06 à 12:45. We also demonstrate how Barnes' multiple zeta and gamma functions fit into a recently … Zbl 0553.26006, [9] Washington, L. A note on p-adic L-functions, J. The classical Raabe formula computes a definite integral of the logarithm of Euler’s Γ-function. 321-337 MR 498503, | Jahrhundert von Leonhard Euler, der sie im Rahmen des Basler Problems untersuchte. | MR 718674, | Annales de l'Institut Fourier, Tome 58 (2008) no. MR 791759 La formule de Raabe classique donne la valeur de l’intégrale de la fonction log gamma d’Euler sur un intervalle de longueur 1. / 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. | We also prove a Raabe-type formula for p-adic Hurwitz zeta functions. Zbl 1075.33500, | Math. Zbl 0484.12001. 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. Copyright © 2000 Academic Press. 1, pp. Fonctions zeta de Riemann et fonction gamma : exercice de mathématiques de niveau LicenceMaths 2e/3e a - Forum de mathématiques | title = "The gamma function and the Hurwitz zeta-function". Zbl 0553.26006, | ISSN : 0373-0956 - A Course in p-adic Analysis, Springer-Verlag, Berlin, 2000 Univ. MR 2078341, | MR 498503 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. [1] Andrews, G.; Askey, R.; Roy, R. Special Functions, Cambridge University Press, Cambridge, 2000 Posté par . in Math., Tome 187 (2004), pp. 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. | 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 0484.12001. | The gamma function and the Hurwitz zeta-function. By continuing you agree to the use of cookies. MR 718674 Copyright © 2020 Elsevier B.V. or its licensors or contributors. AU - Berndt, Bruce C. PY - 1985. DO - 10.2307/2322640 Posté par . Zbl 0382.12008, | 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, | | 255-266 Univ. MR 1688958 Zbl 02105047, [4] Morita, Y. | | La dérivée partielle de la fonction zeta est une suite de Sheffer : , Ainsi, la série de Taylor peut être écrite comme suit : , ----- je reposte. MR 1688958, | | 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. | Article, | 362-395 Tokyo Sect. U2 - 10.2307/2322640. publisher = "Mathematical Association of America", The gamma function and the Hurwitz zeta-function. | MR 2078341 Zbl 0947.11035, | 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. Zbl 1075.33500, [2] Diamond, J. On the Hurwitz-Lerch L-functions, J. Fac. Number Theory, Tome 8 (1976), pp. 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.

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