Errata to the paper: "Construction of the lowest-order recurrence relation for the Jacobi coefficients'' (Zastos, Mat. 17 (1983), pp. 655-675)
S. Lewanowicz (1987)
Applicationes Mathematicae
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S. Lewanowicz (1987)
Applicationes Mathematicae
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Georg Gasper, Walter Trebls (1979)
Mathematische Annalen
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A. Calderón (1978)
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S. Lewanowicz (1983)
Applicationes Mathematicae
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Green, Mark L. (1998)
Documenta Mathematica
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Jean-Pierre Kahane (2003)
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Boychev, Georgi (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.
Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.
Yadav, Sarjoo Prasad (2004)
International Journal of Mathematics and Mathematical Sciences
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Andrzej Dabrowski (1996)
Mathematische Zeitschrift
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Wenchang Chu (2007)
Bollettino dell'Unione Matematica Italiana
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The simplest proof of Jacobi's triple product identity originally due to Cauchy (1843) and Gauss (1866) is reviewed. In the same spirit, we prove by means of induction principle and finite difference method, a finite form of the quintuple product identity. Similarly, the induction principle will be used to give a new proof of another algebraic identity due to Guo and Zeng (2005), which can be considered as another finite form of the quintuple product identity.