Particular solutions for a class of ODE related to the -exponential functions.
Bretti, Gabriella, Natalini, Pierpaolo (2004)
Georgian Mathematical Journal
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Bretti, Gabriella, Natalini, Pierpaolo (2004)
Georgian Mathematical Journal
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Petojević, Aleksandar (2005)
Novi Sad Journal of Mathematics
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Akysh, A.Sh. (2002)
Sibirskij Matematicheskij Zhurnal
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Myslivets, S.G. (2001)
Sibirskij Matematicheskij Zhurnal
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Grigor'eva, E.G. (2000)
Siberian Mathematical Journal
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Antipova, I.A. (2000)
Siberian Mathematical Journal
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Èmanuilov, O.Yu. (2000)
Sibirskij Matematicheskij Zhurnal
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Akishev, G.A. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Yang, Dachun (2002)
Georgian Mathematical Journal
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Jean-Yves Enjalbert, Hoang Ngoc Minh (2007)
Journal de Théorie des Nombres de Bordeaux
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In this work, a symbolic encoding of generalized Di-richlet generating series is found thanks to combinatorial techniques of noncommutative rational power series. This enables to explicit periodic generalized Dirichlet generating series – particularly the coloured polyzêtas – as linear combinations of Hurwitz polyzêtas. Moreover, the noncommutative version of the convolution theorem gives easily rise to an integral representation of Hurwitz polyzêtas. This representation enables us to...
Raina, R.K., Chhajed, P.K. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Sui Cheng, Guang Zhang (2000)
Annales Polonici Mathematici
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This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.