03264nam 2200637 450 99646648960331620230420162751.03-540-47711-X10.1007/BFb0081880(CKB)1000000000437540(SSID)ssj0000321462(PQKBManifestationID)12068584(PQKBTitleCode)TC0000321462(PQKBWorkID)10281696(PQKB)10819020(DE-He213)978-3-540-47711-2(MiAaPQ)EBC5585623(Au-PeEL)EBL5585623(OCoLC)1066199218(MiAaPQ)EBC6841981(Au-PeEL)EBL6841981(PPN)15521280X(EXLCZ)99100000000043754020220908d1987 uy 0engurnn#008mamaatxtccrAsymptotics for orthogonal polynomials /Walter Van Assche1st ed. 1987.Berlin, Germany ;New York, New York :Springer-Verlag,[1987]©19871 online resource (VI, 206 p.)Lecture Notes in Mathematics,0075-8434 ;1265Bibliographic Level Mode of Issuance: Monograph0-387-18023-0 3-540-18023-0 Orthogonal polynomials on a compact set -- Asymptotically periodic recurrence coefficients -- Probabilistic proofs of asymptotic formulas -- Orthogonal polynomials on unbounded sets -- Zero distribution and consequences -- Some applications.Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics.Lecture Notes in Mathematics,0075-8434 ;1265Orthogonal polynomialsAsymptotic theoryMathematical analysisCongressesOrthogonal polynomialsAsymptotic theory.Mathematical analysis515.5542C05msc33A65mscAssche Walter van1958-149638MiAaPQMiAaPQMiAaPQBOOK996466489603316Asymptotics for orthogonal polynomials78533UNISA01016nam a2200253 a 4500991003891869707536201015s1967 it a b 001 0 ita db14404552-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Fisicaeng530.4/419LC QC718Frank-Kamezkij, Maksim D.791585Plasma, quarto stato della materia /M.D. Frank-Kamezkij ; traduzione di Sacchi CorradoBologna :Cappelli,1967180 p. :ill. ;21 cmCollana tecnica Cappelli. Fisica ;2Plasma (Ionized gases)Sacchi, Corrado.b1440455214-01-2117-10-20991003891869707536LE006 Fondo Polezzo 270Ex libris Stefano Polezzo12006000181839le006gE15.30-l- 00000.i1594708714-01-21Plasma, quarto stato della materia1769495UNISALENTOle00615-10-20ma itait 00