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Literature Cited
M. I. Kontorovich and N. N. Lebedev, One Method for Solving Certain Problems of Diffraction Theory and the Problems Related to It, Zh. éksperim. teor. fiz.,8, Nos. 10–11, 1192–1206 (1938).
N. N. Lebedev, One Transformation Formula, Doklady Ak. Nauk SSSR,52, No. 8, 661–664 (1946).
N. N. Lebedev, The Expansion of an Arbitrary Function in an Integral with Respect to the Square of the MacDonald Function with Imaginary Sign, Sib. matem. zh.,III, No. 2, 213–222 (1962).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, and Products [in Russian] (Fizmatgiz, Moscow, 1962).
E. C. Tichmarsh, Theory of Functions, 2nd ed., Oxford V.P., N. Y. (1939).
M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian] (Fizmatgiz, Moscow, 1958).
I. P. Natanson, Theory of Functions of a Real Variable [in Russian] (Gostekhizdat, Moscow, 1957).
E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford U.P., N.Y. (1937).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 6, pp. 1293–1305, November–December, 1966.
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Mishustin, B.A. Expansion of an arbitrary function in terms of bessel functions of complex order. Sib Math J 7, 1018–1025 (1966). https://doi.org/10.1007/BF00966398
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DOI: https://doi.org/10.1007/BF00966398