One-dimensional nonautonomous dynamical systems with exact transcendental invariants
New classes of dynamical systems for nonautonomous particle motion in one dimension are exactly solved in terms of arbitrary functions of both space and time. Besides extending considerably the class ...
New classes of dynamical systems for nonautonomous particle motion in one dimension are exactly solved in terms of arbitrary functions of both space and time. Besides extending considerably the class ...
Stokes constants for a certain class of second-order ordinary differential equations
By generalizing the coupled wave integral equations method devised by Hinton, the Stokes phenomena of the standard second-order ordinary differential equations with the following coefficient functions...
By generalizing the coupled wave integral equations method devised by Hinton, the Stokes phenomena of the standard second-order ordinary differential equations with the following coefficient functions...
Grassmannian Legendre functions
J. Math. Phys. 33, 2688 (1992); doi:10.1063/1.529590
Issue Date: August 1992
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The Grassmannian analogues of the Legendre polonomials are obtained from the corresponding Grassmannian Hermite multinomials. The generating function, recurrence relations, and differential equation are given. In contrast to the Hermitian case there is no Berezin weight function that orthogonalizes these functions. Generalizations to the Tchebyscheff and Gegenbauer cases are also possible.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
| History: | Received 19 February 1992; accepted 24 February 1992 |
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http://link.aip.org/link/?JMAPAQ/33/2688/1 |
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BibSonomy
KEYWORDS and PACS
LEGENDRE POLYNOMIALS,
HERMITE POLYNOMIALS,
RECURSION RELATIONS,
SUPERSYMMETRY,
EIGENFUNCTIONS,
FERMIONS
- 02.30.Gp
Mathematical methods in physics Function theory, analysis Special functions - 02.10.Sp
Mathematical methods in physics Logic, set theory, and algebra Linear and multilinear algebra; matrix theory (finite and infinite) - 11.30.Pb
General theory of fields and particles Symmetry and conservation laws Supersymmetry - YEAR: 1992
PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (4)
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- R. Finkelstein and M. Villasante, J. Math. Phys. 27, 1595 (1986).
- P. Kwon and M. Villasante, J. Math. Phys. 29, 560 (1988);
- R. Finkelstein and M. Villasante, Phys. Rev. D 33, 1666 (1986).
- Bateman Manuscript Project, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 2.
