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Some properties of a class of functions related to completely monotonic functions. (English) Zbl 1268.26017
Summary: We present several properties of the composition of functions which are related to the completely monotonic and absolutely monotonic functions. Relevant connections of the results derived in this article with those in earlier investigations are also indicated.

MSC:
26A48 Monotonic functions, generalizations
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[1] Widder, D.V., The Laplace transform, (1966), Pinceton University Press Pinceton · Zbl 0148.10902
[2] Trimble, S.Y.; Wells, J.; Wright, F.T., Supperaddative functions and a statistical application, SIAM J. math. anal., 20, 1255-1259, (1989) · Zbl 0688.44002
[3] Guo, S.; Srivastava, H.M., A certain function class related to the class of logarithmically completely monotonic functions, Math. comput. modelling, 49, 2073-2079, (2009) · Zbl 1171.26319
[4] Lorch, L.; Newman, D.J., On the composition of completely monotonic functions, completely monotonic sequences and related questions, J. London math. soc. ser. 2, 28, 31-45, (1983) · Zbl 0547.26010
[5] Miller, K.S.; Samko, S.G., Completely monotonic functions, Integral transforms spec. funct., 12, 389-402, (2001) · Zbl 1035.26012
[6] Gradshteyn, I.S.; Ryzhik, I.M., Tables of integrals, series and products, (1980), Academic Press New York, (Corrected and Enlarged edition prepared by A. Jeffrey); sixth edition, 2000 · Zbl 0521.33001
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