The use of Riemann problems in solving a class of transcendental equations
- 1 January 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 73 (1) , 111-118
- https://doi.org/10.1017/s0305004100047526
Abstract
A method of finding explicit expressions for the roots of a certain class of transcendental equations is discussed. In particular it is shown by determining a canonical solution of an associated Riemann boundary-value problem that expressions for the roots may be derived in closed form. The explicit solutions to two transcendental equations, tan β = ωβ and β tan β = ω, are discussed in detail, and additional specific results are given.Keywords
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- Two-group transport theoryJournal of Nuclear Energy, 1967