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On the expansion of functions satisfying four boundary conditions

Published online by Cambridge University Press:  26 February 2010

S. Chandrasekhar
S. Chandrasekhar
Affiliation:
University of Chicago, Chicago, Illinois, U.S.A.
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Extract

In the solution of many problems in applied mathematics it is often convenient to have expansions for functions, F(r), which satisfy the boundary conditions

In some recent work on hydrodynamic and hydromagnetic stability the author has found certain types of expansions for such functions which have proved very useful and which appear to be novel in this connection. In this note two types of such expansions will be considered and the principles underlying them will be described.

Type
Research Article
Information
Mathematika , Volume 4 , Issue 2 , December 1957 , pp. 140 - 145
Copyright
Copyright © University College London 1957

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References

1.Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids (Oxford, Clarendon Press, 1947); see particularly pages 93–109.Google Scholar
2.Chandrasekhar, S., Mathematika, 001 (1954), 5–13.CrossRefGoogle Scholar
3.Chandrasekhar, S. and Reid, W. H., Proc. Nat. Acad. Sc., 043 (1957), 521–527.CrossRefGoogle Scholar