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Tytuł artykułu
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Języki publikacji
Abstrakty
In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Wydawca
Czasopismo
Rocznik
Tom
Numer
Opis fizyczny
Daty
otrzymano
2015-06-03
zaakceptowano
2015-10-16
online
2015-10-30
Twórcy
autor
- School of Science, Shandong University of Technology, Zibo, Shandong, 255049, China
autor
- School of Science, Shandong University of Technology, Zibo, Shandong, 255049, China
Bibliografia
- [1] Furdui O., Limits, Series and Fractional Part Integrals. Problems in Mathematical Analysis, Springer, New York, 2013
- [2] Boros G., Moll V.H., Irresistible Integrals, Symbolics, Analysis and Experiments in the Evaluation of Integrals, Cambridge University Press, Cambridge, 2004
- [3] Blümlein J., Broadhurst D.J., Vermaseren J.A.M., The multiple zeta value data mine, Comput. Phys. Commun., 2010, 181, 582–625 [WoS]
- [4] Lewin L., Polylogarithms and Associated Functions, North-Holland, Amsterdam, 1981
- [5] Srivastava H.M., Choi J., Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, 2001
- [6] Li-Chien S., Remarks on some integrals and series involving the Stirling numbers and ξ(n), Trans. Am. Math. Soc., 1995, 347 (4), 1391–1399
- [7] Bromwich T.J.I’A., An Introduction to the Theory of Infinite Series, 3rd ed., AMS Chelsea Publishing, Providence, Rhode Island, 1991
- [8] Medina L.A., Moll V.H., A class of logarithmic integrals, Ramanujan J., 2009, 20, 91–126 [WoS]
- [9] U. Abel, A solution to Open Problem 3.137 by O. Furdui on multiple factorial series [arXiv:1508.04315]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2015-0069