An approximation for $\smallint ^{\infty }{}_{\chi }e^{-t2/2}t^{p} dt,$ $\chi >0,$ $p$ real
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- by A. R. DiDonato PDF
- Math. Comp. 32 (1978), 271-275 Request permission
Abstract:
A new approximation is given for $\smallint _x^\infty {e^{ - {t^2}/2}{t^p}dt}$, $x > 0$, p real, which extends an earlier approximation of Boydโs for $p = 0$.References
- Milton Abramowitz and Irene A. Stegun (eds.), Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover Publications, Inc., New York, 1992. Reprint of the 1972 edition. MR 1225604
- A. V. Boyd, Inequalities for Millsโ ratio, Rep. Statist. Appl. Res. Un. Japan. Sci. Engrs. 6 (1959), 44โ46 (1959). MR 118856 A. H. MORRIS, Symbolic Algebraic Languages-An Introduction, NWL Technical Report No. TR-2928, U. S. Naval Weapons Laboratory, Dahlgren, Va., March 1973.
- H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 271-275
- MSC: Primary 65D20; Secondary 33A70
- DOI: https://doi.org/10.1090/S0025-5718-1978-0458802-8
- MathSciNet review: 0458802