journal article
Sep 01, 1994
On asymptotic behavior of the Taylor coefficients of algebraic functions
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References
11
[1]
D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing [Russian translation], Mir, Moscow (1988).
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E. I. Jury, Inners and Stability of Dynamic Systems [Russian translation], Nauka, Moscow (1979).
[3]
Sh. A. Dautov, “On absolute convergence of the series composed of the Taylor coefficients of a rational function in two variables. Stability of two-dimensional digital recursive filters,” Dokl. Akad. Nauk SSSR,257, No. 6, 1302–1305 (1981).
[4]
A. K. Tsikh, “Conditions for absolute convergence of the series composed of the Taylor coefficients of meromorphic functions in two variables,” Mat. Sb.,182, No. 11, 1588–1612 (1991).
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G. P. Egorychev, Integral Representation and Calculation of Combinatorial Sums [in Russian], Nauka, Novosibirsk (1977).
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E. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces [Russian translation], Mir, Moscow (1974).
[7]
H. Poincaré, Selected Works. Vol. I: New Methods of Celestial Mechanics [Russian translation], Nauka, Moscow (1971).
[8]
F. W. J. Olver, Asymptotics and Special Functions [Russian translation], Nauka, Moscow (1990).
[9]
M. V. Fedoryuk, Asymptotics: Integrals and Series [in Russian], Nauka, Moscow (1987).
[10]
E. Udovichich, “An analog of Puiseux series for functions in several complex variables,” Mat. Vestnik,13, No. 3, 343–348 (1976).
[11]
A. K. Tsikh, Estimates for Taylor Coefficients of Meromorphic Functions in Two Variables and Stability Conditions for Two-Dimensional Digital Recursive Filters [Preprint] [in Russian], Inst. Fiziki (Krasnoyarsk), Krasnoyarsk (1989).
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References
Details
- Published
- Sep 01, 1994
- Vol/Issue
- 35(5)
- Pages
- 1002-1013
- License
- View
Authors
Cite This Article
A. G. Orlov (1994). On asymptotic behavior of the Taylor coefficients of algebraic functions. Siberian Mathematical Journal, 35(5), 1002-1013. https://doi.org/10.1007/bf02104578
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