Rusev, Peter A second note on S. N. Bernstein’s criterion for holomorphic extension. (English) Zbl 1313.30005 C. R. Acad. Bulg. Sci. 67, No. 3, 311-312 (2014). Reviewer: Petar Popivanov (Sofia) MSC: 30B40 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 67, No. 3, 311--312 (2014; Zbl 1313.30005)
Rusev, Peter Classical Hermite and Laguerre polynomials and the zero-distribution of Riemann’s \(\zeta\)-function. (English) Zbl 1324.33008 Serdica Math. J. 39, No. 2, 103-118 (2013). MSC: 33C45 11M26 42A38 PDFBibTeX XMLCite \textit{P. Rusev}, Serdica Math. J. 39, No. 2, 103--118 (2013; Zbl 1324.33008)
Rusev, Peter A note on S.N.Bernstein’s criterion for holomorphic extension of functions of a real variable. (English) Zbl 1265.30004 C. R. Acad. Bulg. Sci. 65, No. 4, 427-428 (2012). Reviewer: Petar Popivanov (Sofia) MSC: 30B40 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 65, No. 4, 427--428 (2012; Zbl 1265.30004)
Dimitrov, Dimitar K.; Rusev, Peter K. Zeros of entire Fourier transforms. (English) Zbl 1230.42003 East J. Approx. 17, No. 1, 1-110 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42A15 26C10 30C15 33C10 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{P. K. Rusev}, East J. Approx. 17, No. 1, 1--110 (2011; Zbl 1230.42003)
Rusev, P. Laguerre’s polynomials and the nonreal zeros of Riemann’s \(\zeta\)-function. (English) Zbl 1224.11075 C. R. Acad. Bulg. Sci. 63, No. 11, 1547-1550 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 11M26 33C45 42A38 PDFBibTeX XMLCite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 63, No. 11, 1547--1550 (2010; Zbl 1224.11075)
Rusev, Peter Hermite polynomials and the zero-distribution of Riemann’s \(\zeta\)-function. (English) Zbl 1219.11128 Fract. Calc. Appl. Anal. 13, No. 1, 85-95 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M26 33C45 42A38 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 13, No. 1, 85--95 (2010; Zbl 1219.11128) Full Text: EuDML
Rusev, Peter A note on a classical generating function for the Jacobi polynomials. (English) Zbl 1118.33003 Fract. Calc. Appl. Anal. 8, No. 1, 63-66 (2005). MSC: 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 8, No. 1, 63--66 (2005; Zbl 1118.33003) Full Text: EuDML
Rusev, Peter Singular points of analytic functions defined by series in Legendre associated functions. (English) Zbl 1081.33016 Math. Balk., New Ser. 18, No. 3-4, 431-435 (2004). Reviewer: Olga M. Katkova (Kharkov) MSC: 33C45 33C05 30B10 PDFBibTeX XMLCite \textit{P. Rusev}, Math. Balk., New Ser. 18, No. 3--4, 431--435 (2004; Zbl 1081.33016)
Boychev, Georgi; Rusev, Peter Cesàro’s summability of series in Laguerre polynomials on the boundaries of their regions of convergence. (English) Zbl 1009.33011 Analysis, München 22, No. 1, 67-77 (2002). Reviewer: Ravi N.Kalia (St.Cloud) MSC: 33C45 40C05 PDFBibTeX XMLCite \textit{G. Boychev} and \textit{P. Rusev}, Analysis, München 22, No. 1, 67--77 (2002; Zbl 1009.33011) Full Text: DOI
Rusev, Peter Complete systems of Hermite associated functions. (English) Zbl 0969.30004 Serdica Math. J. 26, No. 3, 221-228 (2000). Reviewer: Virginia S.Kiryakova (Sofia) MSC: 30B60 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, Serdica Math. J. 26, No. 3, 221--228 (2000; Zbl 0969.30004) Full Text: EuDML
Rusev, P. An inequality for Hermite’s polynomials in the complex plane. (English) Zbl 0960.33005 C. R. Acad. Bulg. Sci. 53, No. 10, 13-16 (2000). Reviewer: Petar Popivanov (Sofia) MSC: 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 53, No. 10, 13--16 (2000; Zbl 0960.33005)
Rusev, Peter Perron’s type asymptotic formulas for the Laguerre polynomials. (English) Zbl 1027.33010 Fract. Calc. Appl. Anal. 2, No. 5, 689-698 (1999). MSC: 33C45 30E15 41A60 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 2, No. 5, 689--698 (1999; Zbl 1027.33010)
Rusev, P. Complete systems of Laguerre polynomials with large parameter. (English) Zbl 0949.33008 C. R. Acad. Bulg. Sci. 52, No. 5-6, 21-24 (1999). Reviewer: P.Popivanov (Sofia) MSC: 33C45 42C30 PDFBibTeX XMLCite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 52, No. 5--6, 21--24 (1999; Zbl 0949.33008)
Rusev, Peter Complete systems of Gegenbauer polynomials in spaces of holomorphic functions. (English) Zbl 1033.30003 Math. Balk., New Ser. 12, No. 1-2, 171-178 (1998). MSC: 30B60 33C45 46E15 PDFBibTeX XMLCite \textit{P. Rusev}, Math. Balk., New Ser. 12, No. 1--2, 171--178 (1998; Zbl 1033.30003)
Rusev, P. On the asymptotics of the Weber-Hermite function in the complex plane. (English) Zbl 0936.33002 Fract. Calc. Appl. Anal. 1, No. 2, 151-166 (1998). Reviewer: Virginia S.Kiryakova (Sofia) MSC: 33C15 33C45 34E05 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 1, No. 2, 151--166 (1998; Zbl 0936.33002)
Rusev, Peter Complete systems of Gauss hypergeometric functions in spaces of holomorphic functions. (English) Zbl 1009.33007 Facta Univ., Ser. Math. Inf. 12, 23-32 (1997). Reviewer: Gradimir Milovanović (Niš) MSC: 33C45 30B60 33C05 PDFBibTeX XMLCite \textit{P. Rusev}, Facta Univ., Ser. Math. Inf. 12, 23--32 (1997; Zbl 1009.33007)
Rusev, Peter Completeness of systems related to Laguerre and Hermite polynomials and associated functions. (English) Zbl 0894.30006 Analysis 17, No. 4, 323-334 (1997). Reviewer: F.Haslinger (Wien) MSC: 30B60 30E10 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, Analysis 17, No. 4, 323--334 (1997; Zbl 0894.30006) Full Text: DOI
Rusev, Peter An improvement of the T. M. Cherry’s asymptotic formula for the Weber-Hermite function. (English) Zbl 1126.41304 Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12–17, 1994. Sofia: SCT Publishing. 272-281 (1995). MSC: 41A60 30E15 33C15 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, in: Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12--17, 1994. Sofia: SCT Publishing. 272--281 (1995; Zbl 1126.41304)
Rusev, Peter; Boichev, Georgi On \(B'\)-summability of Laguerre series. (English) Zbl 0760.40003 God. Sofij. Univ. ”Kliment Okhridski”, Fak. Mat. Mekh. 80(1986), No. 1 (Mat.), 149-157 (1991). Reviewer: T.Šalát (Bratislava) MSC: 40C15 40A05 33C45 PDFBibTeX XMLCite \textit{P. Rusev} and \textit{G. Boichev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 80, No. 1 (Mat.), 149--157 (1991; Zbl 0760.40003)
Rusev, Petăr Some results about the representation of analytic functions by means of Laguerre series. (Bulgarian. English summary) Zbl 0612.30026 God. Sofij. Univ., Fak. Mat. Mekh. 71(1976/1977), Part II, 117-125 (1986). Reviewer: P.Skibiński MSC: 30D10 33C45 30B50 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 71, Part II, 117--125 (1986; Zbl 0612.30026)
Rusev, Peter Laguerre series and the Cauchy integral representation. (English) Zbl 0607.33010 Ann. Pol. Math. 46, 295-297 (1985). Reviewer: O.Volk MSC: 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, Ann. Pol. Math. 46, 295--297 (1985; Zbl 0607.33010) Full Text: DOI
Rusev, Petăr Analytic functions and classical orthogonal polynomials. (English) Zbl 0556.30001 Az Buki. B”lgarski Matematicheski Monografii. Bulgarian Mathematical Monographs, 3. Sofia: Publishing House of the Bulgarian Academy of Sciences. 135 p. Lv. 2.35 (1984). Reviewer: H.Tietz MSC: 30-01 33C45 33-01 30B50 PDFBibTeX XML
Rusev, Peter Expansion of analytic functions in series of classical orthogonal polynomials. (English) Zbl 0543.30006 Complex analysis, Banach Cent. Publ. 11, 287-298 (1983). Reviewer: H.Tietz MSC: 30B50 33C45 PDFBibTeX XML Full Text: EuDML Link
Rusev, Petar K. Hankel’s transform and series in Laguerre polynomials. (English) Zbl 0499.30005 PLISKA, Stud. Math. Bulg. 1981, No. 4, 10-14 (1981). MSC: 30B50 33C45 44A15 PDFBibTeX XMLCite \textit{P. K. Rusev}, PLISKA, Stud. Math. Bulg. 4, 10--14 (1981; Zbl 0499.30005)
Rusev, P. On asymptotic behavior of Laguerre functions of the second kind. (Bulgarian) Zbl 0492.33012 God. Sofij. Univ., Fak. Mat. Mekh. 70 (1975/76), 123-132 (1981). MSC: 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 70, 123--132 (1981; Zbl 0492.33012)
Rusev, P. A necessary and sufficient condition for an analytic function to be represented by a series in Laguerre functions of second kind. (Russian) Zbl 0491.30004 God. Sofij. Univ., Fak. Mat. Mekh. 70 (1975/76), 133-140 (1981). MSC: 30B50 33C45 44A10 41A58 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 70, 133--140 (1981; Zbl 0491.30004)
Rusev, P. Completeness of Laguerre and Hermite functions of second kind. (English) Zbl 0448.33016 Constructive function theory, Proc. int. Conf., Blagoevgrad 1977, 469-473 (1980). MSC: 33C45 30B60 PDFBibTeX XML
Rusev, P. K. On the representation of analytic functions by series in Laguerre polynomials. (English) Zbl 0447.33008 Wiss. Beitr., Martin-Luther-Univ. Halle-Wittenberg 1980, 41(M18), 60-63 (1980). MSC: 33C45 30B50 42C05 41A58 PDFBibTeX XML
Rusev, Peter K. The representation of analytic functions by means of series in Laguerre functions of the second kind. (English) Zbl 0448.30008 Serdica 5, 60-63 (1979). MSC: 30B50 33C45 42C10 PDFBibTeX XMLCite \textit{P. K. Rusev}, Serdica 5, 60--63 (1979; Zbl 0448.30008)
Rusev, Petăr Convergence and (C,1)-summability of Laguerre series on the boundaries of their regions of convergence. (Bulgarian) Zbl 0447.40002 God. Sofij. Univ., Fak. Mat. Mekh. 69(1974/1975), 79-106 (1979). MSC: 40A05 33C45 40G05 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 69, 79--106 (1979; Zbl 0447.40002)
Rusev, P. K. Über die Multiplikation von Reihen nach Laguerreschen Funktionen zweiter Ordnung. (Russian) Zbl 0425.33008 C. R. Acad. Bulg. Sci. 32, 867-869 (1979). MSC: 33C45 30B50 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 32, 867--869 (1979; Zbl 0425.33008)
Rusev, P. K. Gewisse Ergebnisse über die Darstellung analytischer Funktionen vermittels Laguerrescher Reihen. (Russian) Zbl 0417.30005 C. R. Acad. Bulg. Sci. 32, 569-571 (1979). MSC: 30B60 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 32, 569--571 (1979; Zbl 0417.30005)
Rusev, Petar Completeness of Laguerre and Hermite functions of the second kind. (English) Zbl 0399.33009 Constructive function theory, Proc. int. Conf., Blagoevgrad 1977 (to appear). MSC: 33C45 30B60 PDFBibTeX XML
Rusev, Petăr Expansion of an analytic function in Laguerre series. (Bulgarian) Zbl 0448.30007 God. Sofij. Univ., Fak. Mat. Mekh. 68(1973/1974), 179-216 (1977). MSC: 30B50 33C45 42C10 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 68, 179--216 (1977; Zbl 0448.30007)
Rusev, P. K. Über die Vollständigkeit eines Systems Laguerrescher Funktionen zweiter Art. (Russian) Zbl 0417.30006 C. R. Acad. Bulg. Sci. 30, 9-11 (1977). MSC: 30B60 33C45 42A65 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 30, 9--11 (1977; Zbl 0417.30006)
Rusev, P. K. Uniqueness of the representation of an analytical function by a series in the Laguerre functions of the second kind. (Russian) Zbl 0379.30004 C. R. Acad. Bulg. Sci. 30, 969-971 (1977). MSC: 30B50 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 30, 969--971 (1977; Zbl 0379.30004)
Rusev, P. On the representation of analytic functions by means of Laguerre polynomials. (English) Zbl 0379.30003 C. R. Acad. Bulg. Sci. 30, 175-178 (1977). MSC: 30B50 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 30, 175--178 (1977; Zbl 0379.30003)
Rusev, P. K. On an inequality for Laguerre’s functions of second kind. (Russian) Zbl 0361.33003 C. R. Acad. Bulg. Sci. 30, 661-663 (1977). MSC: 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 30, 661--663 (1977; Zbl 0361.33003)
Rusev, P. K. On the representation of a class of analytic functions by means of series in Laguerre polynomials. (Russian) Zbl 0379.30002 C. R. Acad. Bulg. Sci. 29, 787-789 (1976). MSC: 30B50 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 29, 787--789 (1976; Zbl 0379.30002)
Rusev, Petar K. Representation of analytic functions by series in Hermite polynomials. (English) Zbl 0363.30005 Serdica 2, 205-209 (1976). MSC: 30B50 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, Serdica 2, 205--209 (1976; Zbl 0363.30005)
Rusev, P. K. Abel’s theorem for Laguerre’s series. (Russian) Zbl 0363.30003 C. R. Acad. Bulg. Sci. 29, 615-617 (1976). MSC: 30B10 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, C. R. Acad. Bulg. Sci. 29, 615--617 (1976; Zbl 0363.30003)
Rusev, Petăr Laguerre’s functions of the second kind. (Bulgarian) Zbl 0358.42005 God. Sofij. Univ., Fak. Mat. Mekh. 67(1972/1973), 269-283 (1976). MSC: 42A20 42C10 42C05 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 67, 269--283 (1976; Zbl 0358.42005)
Rusev, Petăr Convergence of series in Laguerre’s polynomials. (Bulgarian) Zbl 0358.42004 God. Sofij. Univ., Fak. Mat. Mekh. 67(1972/1973), 249-268 (1976). MSC: 42A20 42C10 30E15 41A60 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 67, 249--268 (1976; Zbl 0358.42004)
Rusev, Petar K. Hermite functions of second kind. (English) Zbl 0348.33008 Serdica 2, 177-190 (1976). MSC: 33C45 PDFBibTeX XMLCite \textit{P. K. Rusev}, Serdica 2, 177--190 (1976; Zbl 0348.33008)
Rusev, Peter A class of analytically uncontinuable series in orthogonal polynomials. (English) Zbl 0184.30003 Math. Ann. 184, 61-64 (1969). MSC: 30-XX 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, Math. Ann. 184, 61--64 (1969; Zbl 0184.30003) Full Text: DOI EuDML