Summary
A theorem (Theorem 3) is given, which proves, under certain general conditions, that the trajectoriesα n (t) in the Chew-Frautschi diagram, are, asymptotically inn, parallel and spaced by one unit.
Riassunto
Si espone un teorema (teorema III), che dimostra che, in condizioni del tutto generali, le traiettorieα n (t) nel diagramma di Chew-Frautschi sono, asintoticamente inn, parallele e spaziate di una unità.
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References
M. Jacob andJ. Mandelbrojt:Nuovo Cimento,63 A, 279 (1969).
S. Mandelbrojt:Séries de Dirichlet, principes et méthodes (Paris, 1969).
Martin suggested that it would be worth-while to see which of our considerations can be extended to asymptotic Dirichlet series. Such series are studied for instance in ref. (3).
S. Mandelbrojt:Séries adhérentes, régularisation des suites, applications (Paris, 1952).
S. Mandelbrojt:Les singularités des fonctions analytiques représentées par une série de Taylor, Memorial des Sciences Mathématiques (Paris, 1932).
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Mandelbrojt, J., Mandelbrojt, S. Applications of the theory of dirichlet series to the superposition of an infinite number of regge poles. Nuov Cim A 1, 274–284 (1971). https://doi.org/10.1007/BF02722669
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DOI: https://doi.org/10.1007/BF02722669