Inequalities for modified Bessel functions

Author:
Ingemar Nasell

Journal:
Math. Comp. **28** (1974), 253-256

MSC:
Primary 33A40

DOI:
https://doi.org/10.1090/S0025-5718-1974-0333288-9

MathSciNet review:
0333288

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Abstract | References | Similar Articles | Additional Information

Abstract: A sequence of sharp versions of the inequality , is established.

**[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. 220-222. 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. 220-221. 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. 41-65. MR**0350082 (50:2575)****[6]**A. V. Prohorov, "Inequalities for Bessel functions of a purely imaginary argument,"*Teor. Verojatnost. i Primenen.*, v. 13, 1968, pp. 525-531.*Theor. Probability Appl.*, v. 13, 1968, pp. 496-501. MR**39**#503. MR**0239146 (39:503)****[7]**D. O. Reudink, "On the signs of the*v*-derivatives of the modified Bessel functions and ,"*J. Res. Nat. Bur. Standards Sec. B*, v. 72B, 1968, pp. 279-280. 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. 406-407. MR**32**#2634. MR**0185164 (32:2634)**

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0333288-9

Article copyright:
© Copyright 1974
American Mathematical Society