Inequalities for modified Bessel functions
Author:
Ingemar Nasell
Journal:
Math. Comp. 28 (1974), 253256
MSC:
Primary 33A40
MathSciNet review:
0333288
Fulltext PDF Free Access
Abstract 
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Additional Information
Abstract: A sequence of sharp versions of the inequality , is established.
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220–222. MR 0213624
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L. Jones, An extension of an inequality involving modified Bessel
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D.
O. Reudink, On the signs of the 𝜈derivatives of the
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 [1]
 M. Abramowitz & I. A. Stegun (Editors), Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables, Dover, New York, 1966. MR 34 #8606. MR 0208797 (34:8606)
 [2]
 J. A. Cochran, "The monotonicity of modified Bessel functions with respect to their order," J. Math. and Phys., v. 46, 1967, pp. 220222. MR 35 #4482. MR 0213624 (35:4482)
 [3]
 A. L. Jones, "An extension of an inequality involving modified Bessel functions," J. Math. and Phys., v. 47, 1968, pp. 220221. MR 37 #3067. MR 0227483 (37:3067)
 [4]
 Y. L. Luke, The Special Functions and Their Approximations. Vol. II, Math. in Sci. and Engineering, vol. 53, Academic Press, New York, 1969. MR 40 #2909. MR 0249668 (40:2909)
 [5]
 Y. L. Luke, "Inequalities for generalized hypergeometric functions," J. Approximation Theory, v. 5, 1972, pp. 4165. MR 0350082 (50:2575)
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 A. V. Prohorov, "Inequalities for Bessel functions of a purely imaginary argument," Teor. Verojatnost. i Primenen., v. 13, 1968, pp. 525531. Theor. Probability Appl., v. 13, 1968, pp. 496501. MR 39 #503. MR 0239146 (39:503)
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 D. O. Reudink, "On the signs of the vderivatives of the modified Bessel functions and ," J. Res. Nat. Bur. Standards Sec. B, v. 72B, 1968, pp. 279280. MR 38 #3479. MR 0235168 (38:3479)
 [8]
 R. P. Soni, "On an inequality for modified Bessel functions," J. Math. and Phys., v. 44, 1965, pp. 406407. MR 32 #2634. MR 0185164 (32:2634)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197403332889
PII:
S 00255718(1974)03332889
Article copyright:
© Copyright 1974
American Mathematical Society
