On some generalizations of the Vandermonde matrix and their relations with the Euler beta-function.
Lomidze, I. (1994)
Georgian Mathematical Journal
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Lomidze, I. (1994)
Georgian Mathematical Journal
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Savaş, E., Şevli, H., Rhoades, B.E. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy, S. Nima Salehy (2012)
Matematički Vesnik
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Cardoulis, Laure (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Neuwirth, Erich (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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de Malafosse, Bruno (2002)
Novi Sad Journal of Mathematics
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Peradze, J. (2007)
Bulletin of TICMI
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E. Malkowsky, V. Rakočević, Snežana Živković (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Enrique Navarro, Rafael Company, Lucas Jódar (1993)
Applicationes Mathematicae
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In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Eberhard Malkowsky, Vladimir Rakocević (2000)
Zbornik Radova
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Půža, B. (1997)
Georgian Mathematical Journal
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Ukpera, Awar Simon (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yordanov, Russi (1998)
Serdica Mathematical Journal
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Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).