Weitere Bemerkung zu ∫eb(x+a cosx)dx

  • Peter Henrici
Kurze Mitteilungen


For the function\(E(a,b;X) = \int\limits_{ - \infty }^X {e^{b(x + a \cos x)} dx (\Re b > 0)} \) a series representation in term of products of Bessel and trigonometric functions is given, valid for realX and reala∈(−1, 1).


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  1. 1).
    R. Smith-Johannsen, AAF Technical Report 5539, General Electric Co. U.S.A. (1946).Google Scholar
  2. 2).
    D. L. Loughborough,Reduction of the Adhesion of Ice, J. aeron. Sci.13, 126 (1946).Google Scholar
  3. 4).
    K. Emden,Eine Lösung für ∫e b(x+a cosx) dx, ZAMP2, 289–292 (1951).Google Scholar

Copyright information

© Birkhäuser-Verlag 1952

Authors and Affiliations

  • Peter Henrici
    • 1
  1. 1.American UniversityWashington, D. C.

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