Zobrazeno 1 - 10
of 83
pro vyhledávání: '"F.M. ARSCOTT"'
Autor:
F.M. Arscott, I.M. Khabaza
Tables of Lamé polynomials presents tables of Lamé polynomials, which were calculated on the Ferranti'Mercury'machine at the London University Computer Unit in England. Lamé polynomials are solutions of Lamé differential equation, which is used i
Autor:
F.M. Arscott
Publikováno v:
The Mathematical Gazette. 39:126-131
The longitudinal oscillation of “light” springs carrying loads, in various combinations, has a well-established place in all mechanics textbooks, but none of the standard works appear to deal thoroughly with the oscillation of a spring whose mass
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e0cf9bc2e23611cbd99d1fac0181fb1
https://doi.org/10.2307/3609975
https://doi.org/10.2307/3609975
Autor:
F.M. Arscott
Publisher Summary This chapter discusses the integral-equation formulation of two-parameter eigenvalue problems. The chapter considers a two-parameter eigenvalue problem in differential equations associated with which are the three-point boundary con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::379fe9aa5cbb98230fd3daa95c96ff6e
https://doi.org/10.1016/s0304-0208(08)70734-5
https://doi.org/10.1016/s0304-0208(08)70734-5
Autor:
F.M. Arscott
This chapter reviews two developments regarding integral equations and Bessel function series, which are so closely connected that they are best considered together. It focuses on integral equations for the four types of Mathieu function and expansio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11ebc4466f8c1ae35fbe1f168ba7539d
https://doi.org/10.1016/b978-0-08-009984-2.50008-0
https://doi.org/10.1016/b978-0-08-009984-2.50008-0
Autor:
F.M. Arscott
This chapter presents Mathieu's general equation. The terms stable and unstable arise naturally from the frequent occurrence of Mathieu's general equation in problems where z represents time. Stability or instability is a property of the general solu
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https://doi.org/10.1016/b978-0-08-009984-2.50010-9
https://doi.org/10.1016/b978-0-08-009984-2.50010-9
Autor:
F.M. Arscott
There are five different forms used for the Lame's equation itself, the Jacobian, the Weierstrassian, two algebraic forms and one trigonometric. Modern literature uses the Jacobian form as a basis. Lame's equation has one even and one odd solution. T
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https://doi.org/10.1016/b978-0-08-009984-2.50013-4
https://doi.org/10.1016/b978-0-08-009984-2.50013-4
Autor:
F.M. Arscott
This chapter reviews Hill's equation, which is a generalization of Mathieu's equation, namely, (d 2 w/ d z 2 ) + J ( z ) = 0, where J ( z ) is even and periodic with period π. This equation arose in the course of Hill's investigation of the motion o
Externí odkaz:
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https://doi.org/10.1016/b978-0-08-009984-2.50011-0
https://doi.org/10.1016/b978-0-08-009984-2.50011-0