Asymptotic Expansions of the Modified Bessel Function of the Third Kind of Imaginary Order

作者: Charles B. Balogh

DOI: 10.1137/0115114

关键词: Struve functionKelvin functionsAiry functionBessel functionAsymptotic analysisHankel transformMathematical analysisBessel polynomialsBessel processPhysicsApplied mathematics

摘要:

参考文章(5)
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Charles B. Balogh, Uniform asymptotic expansions of the modified Bessel function of the third kind of large imaginary order Bulletin of the American Mathematical Society. ,vol. 72, pp. 40- 43 ,(1966) , 10.1090/S0002-9904-1966-11408-8
F. W. J. Olver, Error Bounds for First Approximations in Turning-Point Problems Journal of the Society for Industrial and Applied Mathematics. ,vol. 11, pp. 748- 772 ,(1963) , 10.1137/0111057
The asymptotic expansion of bessel functions of large order Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences. ,vol. 247, pp. 328- 368 ,(1954) , 10.1098/RSTA.1954.0021