Results 251 to 260 of about 18,893 (283)
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Journal of the London Mathematical Society, 1949
Die Differentialgleichung der Bessel-Funktionen wird durch die Transformation \(w = \sqrt{\zeta} J_\nu(\lambda\sqrt{1-\zeta^2})\), \(u = \mathfrak{ArTg}\,\zeta - \zeta\) in die Form gebracht: \[ d^2w/du^2 + w\{- \nu^2 + (\zeta^{-2} - 1) [\tfrac54 \zeta^{-4}+ \tfrac14 \zeta^{-2} + \lambda^2 - \nu^2)]\} = 0, \tag{1} \] wo \(\lambda\) eine geeignet ...
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Die Differentialgleichung der Bessel-Funktionen wird durch die Transformation \(w = \sqrt{\zeta} J_\nu(\lambda\sqrt{1-\zeta^2})\), \(u = \mathfrak{ArTg}\,\zeta - \zeta\) in die Form gebracht: \[ d^2w/du^2 + w\{- \nu^2 + (\zeta^{-2} - 1) [\tfrac54 \zeta^{-4}+ \tfrac14 \zeta^{-2} + \lambda^2 - \nu^2)]\} = 0, \tag{1} \] wo \(\lambda\) eine geeignet ...
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Applicable Algebra in Engineering, Communication and Computing, 1998
The author gives an expansion algorithm for germs of exp-log functions at infinity, which is correct modulo Schanuel's conjecture. He also shows how the algorithm can be made generic.
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The author gives an expansion algorithm for germs of exp-log functions at infinity, which is correct modulo Schanuel's conjecture. He also shows how the algorithm can be made generic.
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1995
Abstract The following asymptotics related to solutions of the CHE can be studied: Asymptotics of solutions of the CHE in a neighbourhood of the irregular singularity at infinity with special emphasis on Stokes phenomena. Asymptotics of solutions of the CHE and of the monodromy matrices with respect to large values of parameters.
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Abstract The following asymptotics related to solutions of the CHE can be studied: Asymptotics of solutions of the CHE in a neighbourhood of the irregular singularity at infinity with special emphasis on Stokes phenomena. Asymptotics of solutions of the CHE and of the monodromy matrices with respect to large values of parameters.
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1965
Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics.
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Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics.
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