References
S. B. Bank and R. B. Kaufman,A note on Hölder's theorem concerning the gamma function, Math. Ann.232 (1978), 115–120.
M. Boshernitzan,An extension of Hardy's class L of “Orders of Infinity”, J. Analyse Math.39 (1981), 235–255.
P. M. Cohn,Algebra, Vol. 2, Wiley, London, 1977.
O. A. Gel'fond and A. G. Khovanskii,Real Liouville functions, Funct. Anal. Appl.14 (1980), 122–123.
G. H. Hardy,Properties of logarithmico-exponential functions, Proc. London Math. Soc. (2)10 (1912), 54–90.
G. H. Hardy,Some results concerning the behaviour at infinity of a real and continuous solution of an algebraic differential equation of the first order, Proc. London Math. Soc. (2)10 (1912), 451–468.
G. H. Hardy,Orders of Infinity, Cambridge Tracts in Math. and Math. Phys. 12 (2nd edition), Cambridge, 1924.
P. Hartman,Ordinary Differential Equations, Wiley, New York, 1964.
J. Kaplansky,An Introduction to Differentiable Algebra, Hermann, Paris, 1957.
L. A. Rubel,A universal differential equation, Bull. Am. Math. Soc.4 (1981), 345–349.
T. Vijayaraghavan,Sur la croissance des fonctions définier par les équations différentielles, C. R. Acad. Sci. Paris194 (1932), 827–829.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Boshernitzan, M. New “orderes of infinity”. J. Anal. Math. 41, 130–167 (1982). https://doi.org/10.1007/BF02803397
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02803397