Ralitza KovachevaScientific Publications
- "A Criterion for the m-Meromorphy of Functions", in Russian, International Conference on Constrictive Theory of Functions - Blagoevgrad, 1977; Proceedings; Publ. House of the Bulgarian Academy of Sciences; pp. 81-95.
- "On Rational Approximation of Meromorphic Functions", Dokl. Soviet Acad. Nauk, in Russian, 1978; 241; 3; pp.540-544
- "On Rational Approximation of Meromorphic Functions", English Translation Dokl. Soviet Acad. Nauk, vol. 19 (1978), No 4
- Ph. D. Dissertation, in Russian, 1978; MIAN Institute Steklov, Preprint of MIAN.
- "Generalized Pade Approximants and Meromorphic Continuation of Functions", Matem. Sbornik, in Russian, 1979; 109; 151; pp. 365-377
- "Generalized Pade Approximants and Meromorphic Continuation of Functions", English Translation Math. USSR, Sbornik, vol. 37 (1980), no. 3
- "Convergence of Generalized Pade Approximants"; Internationale Konferenz fuer komplexe Analysis und Differentialgleichungen - 1980, Proceedings in "Kongress - und Tagungsberichte der Martin-Luther-Universitaet Halle Wittenberg";1980; WB 14/1980; pp. 51-54.
- "On the Best Rational Approximation in L2 on a Circle", in Russian, 1981; Pliska, 4; pp. 15-21
- Uniform Convergence of Pade Approximants, Diagonal Case"; International Conference on Complex Analysis and Applications, Varna, 1981,Proceedings, pp.285-292
- "On the Convergence of Generalized Pade Approximants", in Russian, Serdica; 1982; 8; 82- 90.
- "Convergence of Interpolating Rational Functions for Some Classes of Holomorphic Functions"; International Conference on Constructive Function Theory, Varna,1981, Proceedings, 1982; pp.382-385.
- "The Zeros of Unity and Meromorphic Continuation of Functions"; Lecture Notes of Mathematics; 1983;1039; pp. 264-276
- "Uniform Convergence of Pade Approximants, General Case"; Serdica; 1984; 10; pp. 19-28.
- "Zerlegung der holomorphen Funktionen in Interpolationsreihen nach den Einheitswurzeln"; in German, Comptes Rendus de l'Academie bulgare des Sciences; 1984; 37; 4; pp. 441-444; R. K. Kowatscheva.
- "Something Else about the Meromorphic Continuation of Functions"; International Conference of Constructive Theory of Functions, Varna, 1984, Proceedings, 1984; pp. 479-487.
- "Pade Approximants and Inverse Problems"; ICNO, Varna, 1984, Proceedings; 1984; pp. 650-654.
- "Chebyshev Rational Approximants"; International Conference on Complex Analysis and Applications, Varna, 1985, Proceedings. 1986; pp.378- 387.
- "Best Chebyshev Approximants and Poles of Functions"; Comptes Rendus de l'Academie bulgare des Sciences; 1986; 39; 12; pp.27- 31.
- Best Chebyshev Approximants and Spherical Convergence"; Lecture Notes of Mathematics; 1986; 1237; pp.69-75
- "Diagonal Pade Approximants, Chebyshev Rational Approximants and Poles of Functions"; "Nonlinear Numerical Methods and Rational Approximation", D. Reidel Publishing Co.;1988; pp.93-103.
- "The Density of the Alternation Points of Chebyshev Rational Approximants to a Real-valued Continuous Functions"; Comptes Rendus de l'Academie Bulgare des Sciences; 1988; 42; 8; pp.33- 36.
- Die Einheitswurzeln und die Zerlegung der Funktionen in Interpolationsreihen"; in German, Pliska; 1989; 10; pp. 3 - 11, R. K. Kowatschewa.
- "Generalized Pade Approximants of Kakehashi's Type and Meromorphic Continuation of Functions"; "Deformations of Math. Structures", Selected Papers, Kluwer Acad. Publ. ;1989; pp.151- 159. .
- On the behavior of Chebyshev rational approximants with fixed number of poles"; Comptes Rendus de l’ Academie Bulgare des Sciences; 1989; 42; 2; pp.41-44.
- "The Behavior of Chebyshev Rational Approximants with a Fixed Number of the Free Poles"; Matematica Balkanika; 1989; 3; 3/4;pp. 244-256.
- "Diagonal Rational Chebyshev Approximants and Holomorphic Continuation of Functions"; Analysis; 1990; 10; pp.147-161.
- "On the Diagonal Rational Chebyshev Approximants and the Continuations of Functions"; Comptes Rendus de l'Academie Bulgare des Sciences; 1990;43; 4; pp.35 -38.
- "Regions of Uniform Convergence of Chebyshev Approximants with an Unbounded Number of the Free Poles "; Topics in Polynomials of One and Several Variables and Their Applications, Selected Papers, World Scientific Publ. Co.; 1991; pp.26-38.
- "Quasiregular Extension and Approximation of Dualities Generated by the Generalized Hurwitz Problem"; in "Geometric Function Theory", selected papers, Pitman Research Notes in Mathematics Series; 1991; pp.100-118; with J, Lawrynowicz .
- “On the convergence of Rational Functions of Best Uniform Approximation with unbounded number of poles”; with I. V. Ivanov and J. Gilewicz, Comptes Rendus de l'Academie bulgare des Sciences; 45. No.11, 1992; pp. 23-26.
- “Rational Functions of best Uniform Approximation - Open Problems”; Proceedings of International Conference "Open Problems in Approximation Theory"; Vonesta Voda, Bulgaria, 1993; 21 - 25.
- “On the Zeros of Pade Approximants and Pade Error Functions for Special Class of Functions”; Proceedings of International Conference on Numerical Methods and Rational Approximation; Antwerpen, 1993; Kluwer Verlag; 1993; 229 - 237.
- “Zeros of Pade Approximants for Entire Functions with Smooth Maclaurean Coefficients”; with E. B. Saff, Journal of Approx.Theory; 1994; 79; 347 - 384.
- “The Second Order Modulus Revisited”; with H. H. Gonska, Conf. Sem. Mat. Univ. Bari; 1994; 1 - 36.
- “On the Zeros of Pade Approximants”; Proceedings of Banach Semester in Complex Analysis -1994; Polish Academy of Sciences 1996.
- “Zeros of Pade Error Functions for Functions with Smooth Maclaurin Coefficients”, Journal of Approximation Theory; 1995; 83; 371 - 391.
- “A Note on the Limiting Distribution of the Zeros of Pade Approximants”; Journal Comp. Math. Application; 1995; 30; 147 - 153.
- “Rational Functions of best Uniform Approximation and Holomorphic Continuation of Functions”; with I.V.Ivanov and J. Gilewicz; Journal of Approximation and Applications; 1996, vol.12, 1, 1 -10.
- “Rational Geometric Approximation on [0,8)”, with H. P. Blatt; East Journal of Approximations; 1996; Vol. 2; 1, 31 - 40.
- “An Extension of Montel's Theorem to Some Approximating Sequences”; with H. H. Gonska; Bulletin de la Societe des Sciences et de Lettres de Lodz, Vol. XLV1, 1997, pp. 73 - 86
- “An analogue of Montel's theorem to rational approximating sequences”; Comptes Rendus de l'Academie bulgare des Sciences; tome 50, N. 3, 1997, pp 9 - 12
- “Approximation on Unbounded Intervals”, with H.P.Blatt and V. Andrievski, Analysis 17, 1997, 197 - 218.
- “On the convergence of rational functions of best Lp– approximation”, Results of Mathematics, 36(1999), 281 - 290.
- “On sign changes in polynomial L1-approximation”, with H. –P. Blatt, Approximation theory and its applications, Kiev, 1999, Proceedings, 49 – 55. Institute Mat. Nats. Akad. Nauk Ukr. Mat. Zastos. I Akad. Nauk Ukraini, Inst. Mat. Kiev, 2000,
- “Approximation on Unbounded Intervals”, with H.P.Blatt and V. Andrievski, Analysis 17, 1997, 197 - 218.
- “An Analogue of Montel’s Theorem to rational functions of best Lp –approximation”, with J. Lawrynowicz, Journal of Approximation Theory 115, 2002, no. 1, 56 - 71.
- “On sign changes in weighted polynomial L1 approximation”, with H.-P. Blatt, R. Grothmann, Acta Mathematica Hungarica, 95(4), 2002, pp. 309 – 322.
- “An Analogue of Montel’s Theorem for some classes of rational functions”, with J. Lawrynowicz, Chechoslovak Mathematics J. 52(127), 2002, no 3., 483 – 498.
- On the distribution of alternation points in uniform rational approximation, with H.-P. Blatt and R. Grothmann, Comptes rendus de l’Academie bulgare des Sciences 55, 8, 2002, pp. 5 – 10. Ibid; Volume dedicated to Prof. Malik, University of New Delhi, India, 2007
- “Alternation points in rational Chebyshev approximation”, with H.-P. Blatt and R. Grothmann, Constructive Theory of Functions, Varna 2002, Proceedings, pp. 213 – 219.
- “Discrepancy estimates in rational Chebyshev approximation”, with H.-P. Blatt and R. Grothmann, Constructive Theory of Functions, Varna 2002, Proceedings, pp. 220 – 225.
- “Critical dimension 13 in approximation related to fractals of algebraic structure.” XIII conference of Anal. Functions, with J. Lawrynowicz, Bull. Soc. Sci. Lett. Lodz, Rech. Deform. 379(2002) 77 – 102.
- "Rational functions of best Lp - approximation and and analytic continuability", with J Lawrynowicz, Results of Mathematics 43, 2003, no. 1-2, pp. 156 – 162.
- Dissertation for Doctor of Mathematical Sciences (Dr Sci mat.), 2003, Sofia, Preprint of Bulgarian Academy of Sciences.
- “Poles and alternation points in rational Chebyshev approximation ”, with H.-P. Blatt and R. Grothmann; CMFT (Constructive Methods of Functional Theory) 3, 2004, 165 - 177; Special Volume dedicated to Prof. Gaier.
- “Sequences with equi-distributed extreme points in uniform polynomial approximation”, with H.-P. Blatt and R. Grothmann, Journal of Approximation Theory, 126, 2004, 157 – 140.
- “Uniform convergence of best Chebyshev rational approximants to a real-valued function on [-1,1]”, Banach Center Publications, 2004.
- “Domains of uniform convergence of real Chebyshev rational approximants”, Analysis 25(2005), 159-169.
- “ Zeros of partial sums and overconvergence”, Serdica Math. J. 2008, 34, pp. 467-482.
- “Sign changes in rational L(1) approximation”, Ukranian Mat. Zh. 58(2006), no 2, 283-287, Translation in English: Ukranian Math. Journal, 58(2006), no2, 318-323.
- “Ostrowski gaps, zeros and overconvergence”, Bulletin de la Societe des Sciences et de Lettres de Lodz, Vol. XLV1, 2006, Vol.L,pp.53-70.
- “Ostrowski gaps, zeros and overconvergence, II”, Comptes Rendus de l'Academie bulgare des Sciences, TOME 60, No.6, 2007.
- “Overconvergence and zero distribution of Fourier series”, Comptes Rendus de l'Academie bulgare des Sciences, TOME 61, No.11, 2008.
- “On uniform convergence of rational functions of best Chebyshev approximation to a real valued function on [-1,1]. Applied Complex and Quaternionic Appoximation, Edizione Nuova Cultura, ed, R. Kovacheva, J.Lawryniwicz, St. Machiafava, 2007.
- “Riemann surface modelling of orbit systems for integral trajectories of a body sliding on the surface", with J. Lawrynowicz, W. Leszek, Bull. Soc. Sci. Lett. Lodz,vol.LVII,101-112, 2007
- “Normal families of meromorphic functions”, C.R.Acad. Bulg. 2010, tome 63, No 6, 807-814.
- “Growth behavior and zero distribution of rational functions”, with H.P.Blatt, Constructive Approximation, accepted 2010, 34 (3) (2011),393-420.
- “Growth behavior and zero distribution of maximally convergent rational approximants” with HP Blatt, R.Grothmann, Proceedings of 13th International Conference in Approximation Theory, San Antonio, Texas, 2010, Springer Verlag 2011
- “Regions of meromorphy and value distribution of geometrically converging rational approximants”, with H.P.Blatt, R, Grothmann, Journal of Mathematical Analysis and Applications, 382 (2011), 66-76, 2011.
- “On the distribution of zeros and poles of rational approximants on intervals: with Vl. Andrieyevskij, HP Blatt, Abstract Analysis and Applications, vol. 2012, (2012). Article ID 961209, 21 pages, 2012. doi:10.1155/2012/961209
- "Montel's type results and zero distribution of sequences of rational functions", Bullettin de la Societe et des letters de Lo?dz?, Issue dedicated to the memory of Prof. Ingarden, vol XXIV,101-112, 2012, 101-115
- “Rational Chebyshev approximants - the real case,survey, Bullettin de la Societe et des letters de Lodz, Issue dedicated to the memory of Prof. Tamrazov, vol. XXVII, 2012, pp. 70-95.
- “Maximally convergent series of multipoint Pade approximants and distribution of interpolation points", AIP Conf. Proc. 1570, pp. 401-409, 2013
- "Distribution of zeros of the Hermite-Padé polynomials for a system of three functions, and the Nuttall condenser", with S.P. Suetin, Proceedings of the Steklov Institute of Mathematics, 284 (1), pp. 168-191
- "Distribution of interpolation points of maximally convergent multipoint Pade approximants", with H. P. Blatt, J. of Approximation Theory, Vol. 191, 2014, pp. 46 - 57.
- "Distribution of Points of Interpolation and of Zeros of Exactly Maximally Convergent Multipoint Padé Approximants " Applied mathematics 2015, 6, 737 -744.
- "Distribution of points of interpolation of multipoint Pade approximants; the nonequilibrium case"Vol XLIV, No.3, pp. 11 - 20. Bulletin de la Societe des Sciences et de Lettres de Lodz, Vol. XLIV, 2014, no. 3,pp.53-70. .