1. On the modification of Rouche's theorem for the queueing theory problems.  
   Klimenok, V.
   Queueing Syst. Theory Appl.  38  (2001),  no. 4, 431--434, MathSciNet.  
2. Half-integer winding number solutions to the Ginzburg-Landau-Higgs equations.  
   Govaerts, Jan
   J. Phys. A  34  (2001),  no. 42, 8955--8993, MathSciNet.  
3. The argument principle and boundaries of analytic varieties.  
   Wermer, John
   Recent advances in operator theory and related topics (Szeged, 1999),  639--659, Oper. Theory Adv. Appl., 127, Birkhäuser, Basel, 2001, MathSciNet.  
4. Finding a cluster of zeros of univariate polynomials
   Yakoubsohn JC
   J Complexity 16 (3): 603-638 SEP 2000,Web of Science.    
5. Generalized Rouché's theorem. (Chinese)
   Chen, Xiao Hua
   J. Shenzhen Univ. Sci. Eng. 17 (2000), no. 2-3, 80--85, MathSciNet.  
6. An equivalent format for the Rouché theorem and its application. (Chinese)
   Tao, Yin Xin
   J. Yiyang Teachers College 17 (2000), no. 6, 24--25, MathSciNet.  
7. A generalization of the argument principle.
   Cristea, Mihai
   Complex Variables Theory Appl. 42 (2000), no. 4, 333--345, MathSciNet.  
8. Winding numbers, complex currents, and non-Hermitian localization
   Shnerb, Nadav M.;   Nelson, David R.  
   Physical Review Letters, v 80, n 23, Jun 8, 1998, p 5172, Engineering Village.  
9. Rouche theorem in the problem of finding the stationary distribution of a two-dimensional quasi-Toeplitz Markov chain
   Klimenok VI
   Autom. Control Comp. S 32 (1): 18-23 1998,Web of Science.    
10. A generalization of Rouché's theorem for queueing problems. (Russian)
    Klimenok, V. I.
    Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk 1998, no. 1, 57--59, 141, MathSciNet.  
11. On the use of the argument principle in a spectral problem for systems of ordinary differential equations with singularities. (Russian)
    Abramov, A. A.; Ul'yanova, V. I.; Yukhno, L. F.
    Zh. Vychisl. Mat. Mat. Fiz. 38 (1998), no. 1, 61--67, MathSciNet.  
12. On the integral giving the degree of a map and a Rouché type theorem.
    Hatziafratis, T.; Tsarpalias, A.
    Z. Anal. Anwendungen 16 (1997), no. 2, 239--247, MathSciNet.  
13. A Rouché-type theorem for complex Banach spaces. (Chinese)
    Zhang, Wen Jun
    Chinese Ann. Math. Ser. A 18 (1997), no. 3, 325--330, MathSciNet.  
14. A stability criterion based on Rouché's theorem. (Chinese)
    Wu, Zhi Long
    Inform. and Control (Shenyang) 26 (1997), no. 6, 427--430, MathSciNet.  
15. The Argument Principle for Harmonic Functions (in Notes)  
    Peter Duren; Walter Hengartner; Richard S. Laugesen  
    American Mathematical Monthly, Vol. 103, No. 5. (May, 1996), pp. 411-415, Jstor.  
16. On the role of Rouché's theorem in queueing analysis.
    Cohen, J. W.; Down, D. G.
    Queueing Systems Theory Appl. 23 (1996), no. 1-4, 281--291, MathSciNet.  
17. Extensions of Rouche's theorem
    Lin, K.-J.; Juang, Y.-T.  
    Source: Journal of Control Systems and Technology, v 4, n 2, Jun, 1996, p 127-131, Engineering Village.  
18. Homotopy methods and a generalization of Rouché theorem.
    Gao, Tang An; Wang, Ze Ke
    Complex analysis and its applications (Hong Kong, 1993), 174--177, Pitman Res. Notes Math. Ser., 305, Longman Sci. Tech., Harlow, 1994, MathSciNet.  
19. Computation of the integral --- an extension of the argument principle. (Chinese)
    Ye, Shou Zhen
    Guizhou Shifan Daxue Xuebao Ziran Kexue Ban 11 (1993), no. 3, 60--64, 73, MathSciNet.  
20. A new formula for winding number.
    McIntyre, Margaret; Cairns, Grant
    Geom. Dedicata 46 (1993), no. 2, 149--159, MathSciNet.  
21. Winding Number and the Number of Real Zeros of a Function  
    Lieven Smits; Willem Kuyk  
    Proceedings of the American Mathematical Society, Vol. 114, No. 4. (Apr., 1992), pp. 981-987, Jstor.  
22. The Rouché theorem for holomorphic maps in complex Banach spaces.
    Wodarczyk, Kazimierz
    Complex Variables Theory Appl. 20 (1992), no. 1-4, 71--73, MathSciNet.  
23. The symmetric Rouché's form for robustness.
    El-Sakkary, Ahned Kamal
    IEEE Trans. Automat. Control 37 (1992), no. 6, 810--812, MathSciNet.  
24. An upper bound for the winding number for solutions of the Ginzburg-Landau equation.
    Kukavica, Igor
    Indiana Univ. Math. J. 41 (1992), no. 3, 825--836, MathSciNet.  
25. A linear representation of the mapping class group M and the theory of winding numbers.
    Trapp, Rolland
    Topology Appl. 43 (1992), no. 1, 47--64, MathSciNet.  
26. Plane Curves, Polar Coordinates and Winding Numbers  
    John A. Baker  
    Mathematics Magazine, Vol. 64, No. 2. (Apr., 1991), pp. 75-91, Jstor.  
27. Rouche's Theorem for Polynomials (in Notes)  
    Michael Filaseta  
    American Mathematical Monthly, Vol. 97, No. 9. (Nov., 1990), pp. 834-835, Jstor.  
28. Rotation and Winding Numbers for Planar Polygons and Curves  
    Branko Grunbaum; G. C. Shephard  
    Transactions of the American Mathematical Society, Vol. 322, No. 1. (Nov., 1990), pp. 169-187, Jstor.  
29. A Version of Rouche's Theorem for Continuous Functions (in Notes)  
    A. Tsarpalias  
    American Mathematical Monthly, Vol. 96, No. 10. (Dec., 1989), pp. 911-913, Jstor.  
30. On a generalization of Rouché's theorem for trace ideals with applications for resonances of Schrödinger operators.
    Siedentop, Heinz K. H.
    J. Math. Anal. Appl. 140 (1989), no. 2, 582--588, MathSciNet.  
31. Stability of perturbed polynomials based on the argument principle and Nyquist criterion.
    Lin, S. H.; Fong, I. K.; Juang, Y. T.; Kuo, T. S.; Hsu, C. F.
    Internat. J. Control 50 (1989), no. 1, 55--63, MathSciNet.  
32. A generalization of winding number functions on surfaces.
    Humphries, Stephen P.; Johnson, Dennis
    Proc. London Math. Soc. (3) 58 (1989), no. 2, 366--386, MathSciNet.  
33. The winding number of three complexes in SU.
    Lasher, Gordon
    Lattice 88 (Batavia, IL, 1988). Nuclear Phys. B Proc. Suppl. 9 (1989), 416--421. 81T25
34. A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain.
    Ying, Xingren; Katz, I. Norman
    Numer. Math. 53 (1988), no. 1-2, 143--163, MathSciNet.  
35. A generalization of the argument principle. (Chinese)
    Ye, Shou Zhen
    Qufu Shifan Daxue Xuebao Ziran Kexue Ban 14 (1988), no. 4, 115--117, MathSciNet.  
36. The first Donaldson invariant as the winding number of a Nicolai map.
    Mansfield, P.
    Modern Phys. Lett. A 3 (1988), no. 17, 1647--1650, MathSciNet.  
37. A generalization of Rouché's theorem with application to resonances.
    Siedentop, Heinz
    Resonances (Lertorpet, 1987), 77--85, Lecture Notes in Phys., 325, Springer, Berlin, 1989, MathSciNet.  
38. A generalization of Rouché's theorem.
    Cristea, Mihai
    An. Univ. Bucuresti Mat. 36 (1987), 13--15, MathSciNet.  
39. Compléments à l'étude asymptotique des nombres de tours du mouvement brownien complexe autour d'un nombre fini de points. (French) [Complements to the study of the winding numbers of complex Brownian motion around a finite set of points]
    Pitman, Jim; Yor, Marc
    C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 17, 757--760, MathSciNet.  
40. A Rouché's type theorem in several complex variables.
    Lupacciolu, Guido
    Rend. Accad. Naz. Sci. XL Mem. Mat. (5) 9 (1985), no. 1, 33--41, MathSciNet.  
41. The argument principle for elliptic complexes. (Russian)
    Tarkhanov, N. N.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1985, no. 12, 74--75, 79, MathSciNet.  
42. Une décomposition asymptotique du nombre de tours du mouvement brownien complexe. (French) [An asymptotic decomposition of the winding number of complex Brownian motion]
    Yor, M.
    Colloquium in honor of Laurent Schwartz, Vol. 2 (Palaiseau, 1983). Astérisque No. 132 (1985), 103--126, MathSciNet.  
43. Sur un "lemme fondamental" de N. Rouche, P. Habets et M. Laloy. (French) [On a fundamental lemma of N. Rouche, P. Habets and M. Laloy]
    Mikoajska, Z.
    Ann. Polon. Math. 44 (1984), no. 1, 45--50, MathSciNet.  
44. Counting Zeros of Real Polynomials within the Unit Disk  
    Charles W. Schelin  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 5. (Oct., 1983), pp. 1023-1031, Jstor.  
45. On the winding number and equivariant homotopy classes of maps of manifolds with some finite group actions.
    Bowszyc, C.
    Fund. Math. 115 (1983), no. 3, 235--247, MathSciNet.  
46. A Converse to Rouche's Theorem (in Notes)
    David Challener; Lee Rubel
    American Mathematical Monthly, Vol. 89, No. 5. (May, 1982), pp. 302-305, Jstor.  
47. Generalized Rouché's theorem and its application to multivariate autoregressions.
    Monden, Yoshimi; Arimoto, Suguru
    IEEE Trans. Acoust. Speech Signal Process. 28 (1980), no. 6, 733--738, MathSciNet.  
48. Rouché's and related theorems for analytic functions of several complex variables.
    Shih, Mau Hsiang
    Bull. Inst. Math. Acad. Sinica 8 (1980), no. 4, 527--533, MathSciNet.  
49. A note on Rouché's theorem. (Spanish)
    Ruiz, Francisco; Uriz, Zenaida
    Proceedings of the sixth conference of Portuguese and Spanish mathematicians, Part I (Santander, 1979). Rev. Univ. Santander No. 2, part 1 (1979), 233--235, MathSciNet.  
50. Queues solvable without Rouché's theorem.
    Neuts, Marcel F.
    Oper. Res. 27 (1979), no. 4, 767--781, MathSciNet.  
51. Remarks on generalising Rouché's theorem.  
    Lloyd, N. G.
    J. London Math. Soc. (2)  20  (1979), no. 2, 259--272, MathSciNet.  
52. On the argument principle in multidimensional complex manifolds.
    Lupacciolu, Guido
    Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 66 (1979), no. 5, 323--330, MathSciNet.  
53. Generalized argument principle for commutative Banach algebras.
    Naghshineh-Ardjmand, Mohsen
    J. London Math. Soc. (2) 18 (1978), no. 1, 140--146, MathSciNet.  
54. Hurwitz' theorem implies Rouché's theorem.
    Abian, Alexander
    J. Math. Anal. Appl. 61 (1977), no. 1, 113--115, MathSciNet.  
55. Tangent winding numbers and branched mappings.
    Quine, J. R.
    Pacific J. Math. 73 (1977), no. 1, 161--167, MathSciNet.  
56. A Remark on Rouche's Theorem (in Mathematical Notes)  
    I. Glicksberg  
    American Mathematical Monthly, Vol. 83, No. 3. (Mar., 1976), pp. 186-187, Jstor.  
57. An Algorithm for Winding Numbers for Closed Polygonal Paths  
    Kenneth O. Leland  
    Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp. 554-558, Jstor.  
58. A generalized argument principle. (Russian)
    Gahov, F. D.; Zverovi\v c, É. I.; Samko, S. G.
    Vesci Akad. Navuk BSSR Ser. Fi z.-Mat. Navuk 1975, no. 1, 5--16, 139, MathSciNet.  
59. An algorithm for winding numbers for closed polygonal paths.
    Leland, Kenneth O.
    Math. Comp. 29 (1975), 554--558, MathSciNet.  
60. Winding numbers and the solvability condition Psi.
    Trèves, François
    J. Differential Geometry 10 (1975), 135--149, MathSciNet.  
61. A Winding Number Algorithm for Closed Polygonal Paths  
    J. V. Petty  
    Mathematics of Computation, Vol. 27, No. 122. (Apr., 1973), pp. 333-337, Jstor.  
62. A note on Rouché's theorem.
    Chatterjea, S. K.
    Mat. Vesnik 10(25) (1973), 297--298, MathSciNet.  
63. Rouché's theorem. (Russian)
    Skordev, Genco S.
    Annuaire Univ. Sofia Fac. Math. Méc. 67 (1972/73), 1--6 (1976), MathSciNet.  
64. Winding numbers on surfaces. II.
    Chillingworth, D. R. J.
    Math. Ann. 199 (1972), 131--153, MathSciNet.  
65. Winding numbers on surfaces. I.
    Chillingworth, D. R. J.
    Math. Ann. 196 (1972), 218--249, MathSciNet.  
66. A Functional Analytic Proof of Rouche's Theorem (in Mathematical Notes)  
    D. van Dulst  
    American Mathematical Monthly, Vol. 78, No. 7. (Aug. - Sep., 1971), pp. 770-771, Jstor.  
67. On a theorem of N. Rouche.
    Gambardella, Lucia; Tenneriello, Catello
    Rend. Accad. Sci. Fis. Mat. Napoli (4) 38 (1971), 145--150, MathSciNet.  
68. An operator generalization of the logarithmic residue theorem and Rouché's theorem. (Russian)
    Gohberg, I. C.; Sigal, E. I.
    Mat. Sb. (N.S.) 84(126) (1971), 607--629, MathSciNet.  
69. Winding numbers and C-flows. (Russian)
    Katok, A. B.
    Uspehi Mat. Nauk 25 1970 no. 5 (155), 243--244, MathSciNet.   
70. A note on an extension of Rouche's theorem.
    Ghosh, A.
    Bull. Calcutta Math. Soc. 61 1969 115--117, MathSciNet.  
71. A certain corollary of Rouché's theorem. (Serbo-Croatian)
    Daci'c, R.
    Mat. Vesnik 6 (21) 1969 157--160, MathSciNet.  
72. A lesson on Rouché's theorem. (Spanish)
    Cuesta, N.
    Gac. Mat. (Madrid) (1) 18 1969 28--43, MathSciNet.  
73. The one-dimensional cohomologies of the Lie algebra of divergence-free vector fields, and the winding numbers of dynamical systems. (Russian)
    Arnold, V. I.
    Funkcional. Anal. i Prilozen. 3 1969 no. 4, 77--78, MathSciNet.  
74. A note on Rouché's theorem.
    Bank, S. B.; Orland, G. H.
    Fund. Math. 63 1968 137--141, MathSciNet.  
75. Über eine Versc hurfung der Aussage des Satzes von Rouché. (German)
    Tutschke, Wolfgang
    Arch. Math. (Basel) 17 1966 432--434, MathSciNet.  
76. On the application of Rouché's theorem to the resultant of two polynomials. (Serbo-Croatian)
    Dajovi'c, V.
    Bull. Soc. Math. Phys. Serbie 15 1963 63--65, MathSciNet.  
77. Further remarks on the winding number.
    Reinhart, Bruce L.
    Ann. Inst. Fourier (Grenoble) 13 1963 155--160, MathSciNet.  
78. Remarks on winding numbers. (Russian)  
    Arnold, V. I.
    Sibirsk. Mat. Z.  2  1961 807--813, MathSciNet.  
79. The winding number on two manifolds.
    Reinhart, Bruce L.
    Ann. Inst. Fourier. Grenoble 10 1960 271--283, MathSciNet.  
80. The monotonic argument principle and differentiation of inequalities. (Russian)
    Meiman, N.
    Dokl. Akad. Nauk SSSR 120 1958 1191--1193, MathSciNet.  
81. Une généralisation du théorème de Rouché. (Serbo-Croatian)
    Mitrovi'c, Dragisa
    Hrvatsko Prirodoslovno Drustvo. Glasnik Mat.-Fiz. Astr. Ser. II. 7, (1952). 19--22, MathSciNet.  
82. On Rouche's Theorem and the Integral-Square Measure of Approximation  
    J. L. Walsh  
    Proceedings of the American Mathematical Society, Vol. 2, No. 5. (Oct., 1951), pp. 671-681, Jstor.  
83. Errata: On Rouche's Theorem and the Integral-Square Measure of Approximation  
    J. L. Walsh  
    Proceedings of the American Mathematical Society, Vol. 2, No. 6. (Dec., 1951), p. 993, Jstor.  
84. Remarque sur une application du théorème de Rouché. (French)
    Germay, R.-H.-J.
    Bull. Soc. Roy. Sci. Liége 17, (1948). 303--307, MathSciNet.  

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