Krall, Allan M. Hilbert space, boundary value problems and orthogonal polynomials. (English) Zbl 1033.34080 Operator Theory: Advances and Applications 133. Basel: Birkhäuser (ISBN 3-7643-6701-6/hbk). xiv, 352 p. (2002). Reviewer: W. D. Evans (Cardiff) MSC: 34L05 34-02 34B05 33C45 42C05 46N20 47E05 47N20 PDFBibTeX XMLCite \textit{A. M. Krall}, Hilbert space, boundary value problems and orthogonal polynomials. Basel: Birkhäuser (2002; Zbl 1033.34080)
Krall, Allan M. Spectral analysis for the generalized Hermite polynomials. (English) Zbl 0859.33009 Trans. Am. Math. Soc. 344, No. 1, 155-172 (1994). MSC: 33C45 34B30 34L10 47B50 47E05 PDFBibTeX XMLCite \textit{A. M. Krall}, Trans. Am. Math. Soc. 344, No. 1, 155--172 (1994; Zbl 0859.33009) Full Text: DOI
Krall, Allan M. Orthogonal polynomials and ordinary differential equations. (English) Zbl 0859.33008 Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 347-369 (1993). MSC: 33C45 34B30 34B10 PDFBibTeX XMLCite \textit{A. M. Krall}, in: Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 347--369 (1993; Zbl 0859.33008)
Evans, W. D.; Everitt, W. N.; Krall, A. M.; Kwon, K. H.; Littlejohn, L. L. A solution to the general Bessel moment problem. (English) Zbl 0858.33004 Agarwal, R. P. (ed.), Recent trends in differential equations. Singapore: World Scientific Publishing. World Sci. Ser. Appl. Anal. 1, 205-220 (1992). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{W. D. Evans} et al., World Sci. Ser. Appl. Anal. 1, 205--220 (1992; Zbl 0858.33004)
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno Differential operators and Laguerre type polynomials. (English) Zbl 0772.33004 SIAM J. Math. Anal. 23, No. 3, 722-736 (1992). Reviewer: M.Idemen (İstanbul) MSC: 33C45 33C50 34B20 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., SIAM J. Math. Anal. 23, No. 3, 722--736 (1992; Zbl 0772.33004) Full Text: DOI
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L. On some properties of the Legendre type differential expression. (English) Zbl 0705.33007 Quaest. Math. 13, No. 1, 83-106 (1990). Reviewer: M.Idemen MSC: 33C45 34B20 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Quaest. Math. 13, No. 1, 83--106 (1990; Zbl 0705.33007) Full Text: DOI
Littlejohn, Lance L.; Krall, Allan M. Orthogonal polynomials and higher order singular Sturm-Liouville systems. (English) Zbl 0686.33014 Acta Appl. Math. 17, No. 2, 99-170 (1989). Reviewer: M.Idemen MSC: 33C45 34B30 34L99 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{A. M. Krall}, Acta Appl. Math. 17, No. 2, 99--170 (1989; Zbl 0686.33014) Full Text: DOI
Krall, Allan M. A review of orthogonal polynomials satisfying boundary value problems. (English) Zbl 0681.33014 Orthogonal polynomials and their applications, Proc. Int. Symp., Segovia/Spain 1986, Lect. Notes Math. 1329, 73-97 (1988). Reviewer: L.Littlejohn MSC: 33C45 34L99 34B20 PDFBibTeX XML
Krall, A. M.; Littlejohn, L. L. On the classification of differential equations having orthogonal polynomial solutions. II. (English) Zbl 0643.34002 Ann. Mat. Pura Appl., IV. Ser. 149, 77-102 (1987). MSC: 34A05 34A99 42C05 PDFBibTeX XMLCite \textit{A. M. Krall} and \textit{L. L. Littlejohn}, Ann. Mat. Pura Appl. (4) 149, 77--102 (1987; Zbl 0643.34002) Full Text: DOI
Krall, A. M.; Littlejohn, L. L. Sturm-Liouville operators and orthogonal polynomials. (English) Zbl 0629.34027 Oscillation, bifurcation and chaos, Proc. Annu. Semin., Toronto/Can. 1986, CMS Conf. Proc. 8, 247-260 (1987). Reviewer: D.Robert MSC: 34L99 47E05 34B20 34B30 33C45 PDFBibTeX XML
Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L. Distributional solutions of ordinary differential equations. (English) Zbl 0628.34031 Oscillation, bifurcation and chaos, Proc. Annu. Semin., Toronto/Can. 1986, CMS Conf. Proc. 8, 227-246 (1987). Reviewer: A.Boucherif MSC: 34B30 33C45 PDFBibTeX XML
Littlejohn, Lance L.; Krall, Allan M. Orthogonal polynomials and singular Sturm-Liouville systems. I. (English) Zbl 0614.33013 Rocky Mt. J. Math. 16, 435-479 (1986). Reviewer: O.Frink MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{A. M. Krall}, Rocky Mt. J. Math. 16, 435--479 (1986; Zbl 0614.33013) Full Text: DOI
Maravall Casesnoves, D.; Mangeron, D.; Krall, A. M.; Fernandez, D. L. Weight functions for some new classes of orthogonal polynomials. (English) Zbl 0541.33007 Acta Math. Sin. 26, 559-565 (1983). Reviewer: R.D.Carmichael MSC: 33C45 46F10 PDFBibTeX XMLCite \textit{D. Maravall Casesnoves} et al., Acta Math. Sin. 26, 559--565 (1983; Zbl 0541.33007)
Mangeron, D.; Krall, A. M.; Fernández, D. L. Weight functions for some new classes of orthogonal polynomials. (English) Zbl 0541.33006 Rev. R. Acad. Cienc. Exactas Fis. Nat. Madr. 77, 597-607 (1983). Reviewer: R.D.Carmichael MSC: 33C45 46F10 PDFBibTeX XMLCite \textit{D. Mangeron} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 77, 597--607 (1983; Zbl 0541.33006)
Mangeron, D.; Krall, A. M.; Fernández, D. L. A new look at some classic problems in orthogonal polynomials. (English) Zbl 0541.33005 Rev. R. Acad. Cienc. Exactas Fis. Nat. Madr. 77, 609-620 (1983). Reviewer: Ch.F.Dunkl MSC: 33C45 PDFBibTeX XMLCite \textit{D. Mangeron} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 77, 609--620 (1983; Zbl 0541.33005)
Mingarelli, Angelo B.; Krall, Allan M. Legendre type polynomials under an indefinite inner product. (English) Zbl 0526.33010 SIAM J. Math. Anal. 14, 399-402 (1983). MSC: 33C45 46C20 33C55 PDFBibTeX XMLCite \textit{A. B. Mingarelli} and \textit{A. M. Krall}, SIAM J. Math. Anal. 14, 399--402 (1983; Zbl 0526.33010) Full Text: DOI
Mangeron, D.; Krall, A. M.; Demşorean, A.; D’Ambrosio, U.; Crăciunaş, P. T. On the moments of orthogonal polynomials. (English) Zbl 0548.33006 Prilozi, Makedonska Akad. Nauk. Umet., Odd. Mat.-Tekh. Nauki 3, No. 2, 25-29 (1982). Reviewer: O.Volk MSC: 33C45 PDFBibTeX XMLCite \textit{D. Mangeron} et al., Prilozi, Makedonska Akad. Nauk. Umet., Odd. Mat.-Tekh. Nauki 3, No. 2, 25--29 (1982; Zbl 0548.33006)
Mingarelli, A.; Krall, A. M. Laguerre type polynomials under an indefinite inner product. (English) Zbl 0517.33009 Acta Math. Acad. Sci. Hung. 40, 237-239 (1982). MSC: 33C45 34L99 47B50 33E99 PDFBibTeX XMLCite \textit{A. Mingarelli} and \textit{A. M. Krall}, Acta Math. Acad. Sci. Hung. 40, 237--239 (1982; Zbl 0517.33009) Full Text: DOI
Mangeron, D.; Krall, A. M.; Fernandez, D. L.; Craciunas, P. T. A new look at some classic problems in orthogonal polynomials. (English) Zbl 0517.33008 Acta Math. Sin. 25, 731-736 (1982). MSC: 33C45 PDFBibTeX XMLCite \textit{D. Mangeron} et al., Acta Math. Sin. 25, 731--736 (1982; Zbl 0517.33008)
Littlejohn, Lance L.; Krall, Allan M. A singular sixth order differential equation with orthogonal polynomial eigenfunctions. (English) Zbl 0506.34021 Ordinary and partial differential equations, Proc. 7th Conf., Dundee/Scotl. 1982, Lect. Notes Math. 964, 435-444 (1982). MSC: 34L99 34B20 33C45 42C05 PDFBibTeX XML
Krall, Allan M. On the moments of orthogonal polynomials. (English) Zbl 0497.33010 Rev. Roum. Math. Pures Appl. 27, 359-362 (1982). MSC: 33C45 33C55 PDFBibTeX XMLCite \textit{A. M. Krall}, Rev. Roum. Math. Pures Appl. 27, 359--362 (1982; Zbl 0497.33010)
Mangeron, D.; Krall, A. M.; Ionita, N.; Craciunas, P. T. Distributional weight functions for the Tchebycheff polynomials. (English) Zbl 0484.33008 Rev. Roum. Math. Pures Appl. 27, 371-373 (1982). MSC: 33C45 PDFBibTeX XMLCite \textit{D. Mangeron} et al., Rev. Roum. Math. Pures Appl. 27, 371--373 (1982; Zbl 0484.33008)
Krall, Allan M. On the moments of orthogonal polynomials. (English) Zbl 0594.33009 Bul. Inst. Politeh. Iași, Secț. I 27(31), No. 3-4, 63-66 (1981). Reviewer: St.Fenyö MSC: 33C45 33C55 PDFBibTeX XMLCite \textit{A. M. Krall}, Bul. Inst. Politeh. Iași, Secț. I 27(31), No. 3--4, 63--66 (1981; Zbl 0594.33009)
Mangeron, D.; Krall, A. M.; Fernandez, D. L.; Craciunas, P. T. Distributional weight functions for some new classes of orthogonal polynomials. (English) Zbl 0511.33009 An. Univ. Timisoara, Stiinte Mat. 19, 141-153 (1981). MSC: 33C45 33E99 46F10 PDFBibTeX XMLCite \textit{D. Mangeron} et al., An. Univ. Timișoara, Științe Mat. 19, 141--153 (1981; Zbl 0511.33009)
Mingarelli, Angelo B.; Krall, Allan M. Jacobi-type polynomials under an indefinite inner product. (English) Zbl 0489.33012 Proc. R. Soc. Edinb., Sect. A 90, 147-153 (1981). MSC: 33C45 34L99 46C20 34B05 PDFBibTeX XMLCite \textit{A. B. Mingarelli} and \textit{A. M. Krall}, Proc. R. Soc. Edinb., Sect. A, Math. 90, 147--153 (1981; Zbl 0489.33012) Full Text: DOI
Krall, Allan M. Orthogonal polynomials satisfying fourth order differential equations. (English) Zbl 0453.33006 Proc. R. Soc. Edinb., Sect. A 87, 271-288 (1981). MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{A. M. Krall}, Proc. R. Soc. Edinb., Sect. A, Math. 87, 271--288 (1981; Zbl 0453.33006) Full Text: DOI
Krall, A. M. The Bessel polynomial moment problem. (English) Zbl 0431.33004 Acta Math. Acad. Sci. Hung. 38, 105-107 (1981). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{A. M. Krall}, Acta Math. Acad. Sci. Hung. 38, 105--107 (1981; Zbl 0431.33004) Full Text: DOI
Krall, Allan M. On the generalized Hermite polynomials \(\{H^\mu_n\}^\infty_{n=0},\mu<- {1\over 2}\). (English) Zbl 0419.33006 Indiana Univ. Math. J. 30, 73-78 (1981). MSC: 33C45 PDFBibTeX XMLCite \textit{A. M. Krall}, Indiana Univ. Math. J. 30, 73--78 (1981; Zbl 0419.33006) Full Text: DOI
Krall, Allan M. On complex orthogonality of Legendre and Jacobi polynomials. (English) Zbl 0459.33008 Math., Rev. Anal. Numér. Théor. Approximation, Math. 22(45), 59-65 (1980). MSC: 33C45 33C55 PDFBibTeX XMLCite \textit{A. M. Krall}, Math. Rev. Anal. Numér. Théor. Approximation, Math. 22(45), 59--65 (1980; Zbl 0459.33008)
Krall, Allan M. Chebyshev sets of polynomials which satisfy an ordinary differential equation. (English) Zbl 0448.33018 SIAM Rev. 22, 436-441 (1980). MSC: 33C45 34B30 PDFBibTeX XMLCite \textit{A. M. Krall}, SIAM Rev. 22, 436--441 (1980; Zbl 0448.33018) Full Text: DOI
Krall, Allan M. Orthogonal polynomials satisfying a fourth order differential equation. (English) Zbl 0429.33008 Math. Rep. Acad. Sci., R. Soc. Can. 1, 219-222 (1979). MSC: 33C45 34A30 42C05 PDFBibTeX XML
Krall, Allan M. Laguerre polynomial expansions in indefinite inner product spaces. (English) Zbl 0416.46012 J. Math. Anal. Appl. 70, 267-279 (1979). MSC: 46C20 46C05 33C45 42C05 PDFBibTeX XMLCite \textit{A. M. Krall}, J. Math. Anal. Appl. 70, 267--279 (1979; Zbl 0416.46012) Full Text: DOI
Craciunas, P. T.; D’Ambrosio, U.; Krall, A. M.; Mangeron, D.; Maravall, D. On the moments of orthogonal polynomials. (English) Zbl 0517.33007 Bul. Ştiinţ. Inst. Politeh. Cluj-Napoca, Ser. Constr. Masini 21, 11-14 (1978). MSC: 33C45 PDFBibTeX XMLCite \textit{P. T. Craciunas} et al., Bul. Științ. Inst. Politeh. Cluj-Napoca, Ser. Constr. Mașini 21, 11--14 (1978; Zbl 0517.33007)
Krall, Allan M. Orthogonal polynomials through moment generating functionals. (English) Zbl 0389.33010 SIAM J. Math. Anal. 9, 600-603 (1978). MSC: 33C45 42C05 44A55 PDFBibTeX XMLCite \textit{A. M. Krall}, SIAM J. Math. Anal. 9, 600--603 (1978; Zbl 0389.33010) Full Text: DOI
Morton, Robert D.; Krall, Allan M. Distributional weight functions for orthogonal polynomials. (English) Zbl 0389.33009 SIAM J. Math. Anal. 9, 604-626 (1978). MSC: 33C45 42C05 44A55 PDFBibTeX XMLCite \textit{R. D. Morton} and \textit{A. M. Krall}, SIAM J. Math. Anal. 9, 604--626 (1978; Zbl 0389.33009) Full Text: DOI
Krall, Allan M. Linear methods of applied analysis. (English) Zbl 0271.00002 Reading, Mass. etc.: Addison-Wesley Publishing Company, Advanced Book Program. XIV, 706 p. hbk: $ 16.00; pbk: $ 9.50 (1973). MSC: 00A05 34-01 35-01 47-01 46Fxx 33C45 35A22 35K05 47B06 34A12 35D05 35L05 47B10 34A30 35E05 42C15 47B15 34B05 35J05 42A38 PDFBibTeX XML