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]***Handbook of mathematical functions, with formulas, graphs, and mathematical tables*, Edited by Milton Abramowitz and Irene A. Stegun, Dover Publications, Inc., New York, 1966. MR**0208797****[2]**James Alan Cochran,*The monotonicity of modified Bessel functions with respect to their order*, J. Math. and Phys.**46**(1967), 220–222. MR**0213624****[3]**A. L. Jones,*An extension of an inequality involving modified Bessel functions*, J. Math. and Phys.**47**(1968), 220–221. MR**0227483****[4]**Yudell L. Luke,*The special functions and their approximations. Vol. II*, Mathematics in Science and Engineering, Vol. 53, Academic Press, New York-London, 1969. MR**0249668****[5]**Yudell L. Luke,*Inequalities for generalized hypergeometric functions*, J. Approximation Theory**5**(1972), 41–65. Collection of articles dedicated to J. L. Walsh on his 75th birthday, I. MR**0350082****[6]**A. V. Prohorov,*Inequalities for Bessel functions of a purely imaginary argument*, Teor. Verojatnost. i Primenen.**13**(1968), 525–531 (Russian, with English summary). MR**0239146****[7]**D. O. Reudink,*On the signs of the 𝜈-derivatives of the modified Bessel functions 𝐼ᵥ(𝑥) and 𝐾ᵥ(𝑥)*, J. Res. Nat. Bur. Standards Sect. B**72B**(1968), 279–280. MR**0235168****[8]**R. P. Soni,*On an inequality for modified Bessel functions*, J. Math. and Phys.**44**(1965), 406–407. MR**0185164**

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

Article copyright:
© Copyright 1974
American Mathematical Society