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Paper Title : ON A FUNCTION CLASS RELATED TO COMPLETELY MONOTONE FUNCTIONS

ISSN : 2395-1303
Year of Publication : 2021
10.29126/23951303/IJET-V7I6P10

Authors: S. GUO

         


Abstract
In this review article, we introduce some basic knowledge closely related to completely monotone functions. 2010 Mathematics Subject Classification: 33E20, 33E30

Reference
1. S. Bernstein, Sur la definition et les proprietes des fonctions analytiques dune variable reelle, Math. Ann. 75 (1914), 449–468. 2. W. Feller, Completely monotone functions and sequences, Duke Math. J. 5 (1939), 661–674. 3. G. Gruss, Bemerkungen zur theorie der voll-bzw. Mehrfachmonotonen funktionen, Math. Z. 39 (1935), 732–741. 4. S. Guo, Some properties of completely monotonic sequences and related interpolation, Appl. Math. Comp. 219(10) (2013), 4958-4962. 5. F. Hausdorff, Summationsmethoden und momentfolgen I, Math. Z. 9 (1921), 74– 109. 6. L. Lorch and L. Moser, A remark on completely monotonic sequences, with an application to summability, Canad. Math. Bull. 6 (1963),171–173. 7. L. Lorch and D. J. Newman, On the composition of completely monotonic functions, completely monotonic sequences and related questions, J. London Math. Soc.(2) 28 (1983), 31–45. 8. C. O’Cinneide, A property of completely monotonic functions, J. Austral. Math. Soc. Ser. A 42 (1987), 143–146. 9. D. V. Widder, The Laplace Transform, Princeton University Press, Princeton, New Jersey, 1941. 10. D. V. Widder, Necessary and sufficient conditions for the representation of a function as a Laplace integral, Trans. Amer. Math. Soc. 33 (1931), 851–892. 11. J. Wimp, Sequence transformations and their applications, Academic Press, New York, 1981
Keywords
-absolutely monotone functions, completely monotone sequences