This is a preview of subscription content, log in via an institution to check access.
References
N. I. Akhiezer, “On certain paired integral equations,” Dokl. Akad Nauk. SSSR,98, No. 3, 333–336 (1954).
N. I. Akhiezer, “On the theory of paired integral equations,” Zap. Mat. Otd. Fiz.-Mat. Fak. Khar'k. Gos. Univ. i Khar'k, Mat. Obshch.,XXV, 5–31 (1957).
N. I. Akhiezer and A. N. Akhiezer, “On the problem of diffraction of electromagnetic waves on circular openings in a flat screen,” Dokl. Akad. Nauk SSSR,109, No. 1, 53–56 (1957).
V. A. Marchenko and K. V. Maslov, “Short-wave approximation in problems on diffraction at a flat screen,” Teoriya Funktsii, Funktsion. Analiz i Ikh Prilozh., No. 3, 158–182 (1966).
V. G. Sologub, “Short-wave asymptotic for solutions to the problem of diffraction on a circular disk,” Zhurn. Vychislit. Mat. i Mat. Fiziki, No. 2, 388–412 (1972).
Yu. V. Gandel', “On solution of one integral equation in the mathematical theory of wave diffraction,” Vestn. Khar'k. Univ. Ser. Mekh.-Mat.,35, 23–28 (1970).
Yu. V. Gandel', “On one pair of summing equations with Bessel functions,” Vestn. Kh. GU, Zap. Mekh.-Mat. Fak. i Khar's. Mat. Obshch.,33, 115–119 (1967).
Yu. V. Gandel', “On the theory of paired Fourier—Bessel series,” Teoriya Funktsii, Funktsion. Analiz i Ikh Prilozh., No. 12, 59–69 (1970).
Yu. V. Gandel', “Remark on the theory of paired Fourier—Bessel series,” Teoriya Funktsii, Funktsion. Analiz. i Ikh Prilozh., No. 22, 35–41 (1975).
J. N. Sneddon, Mixed Boundary Value Problems in Potential Theory, Amsterdam (1966).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, Vol. 56, pp. 46–55, 1991.
Rights and permissions
About this article
Cite this article
Gandel', Y.V. Akhiezer's theory of paired integral equations and the problem of diffraction of waves on a circular disc. J Math Sci 76, 2479–2485 (1995). https://doi.org/10.1007/BF02364905
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02364905