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The zeros of a function occurring in the solution of the Graetz problem
Author(s) -
Davis A. M. J.
Publication year - 1974
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300005787
Subject(s) - mathematics , simple (philosophy) , fourier transform , inversion (geology) , function (biology) , transfer function , mathematical analysis , pure mathematics , paleontology , philosophy , epistemology , structural basin , evolutionary biology , electrical engineering , biology , engineering
Abstract In the study of heat transfer to fluids flowing in pipes or channels, the inversion of a Fourier transform requires consideration of the zeros of a certain function. The principal contribution here is a proof that these zeros are all real and simple, properties assumed by previous authors.