02647nam 2200565 450 991078888980332120170821172533.01-4704-0732-9(CKB)3360000000464503(EBL)3113914(SSID)ssj0000889217(PQKBManifestationID)11478254(PQKBTitleCode)TC0000889217(PQKBWorkID)10875859(PQKB)11136835(MiAaPQ)EBC3113914(RPAM)2842939(PPN)195412001(EXLCZ)99336000000046450320140903h19851985 uy 0engur|n|---|||||txtccrSome basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials /Richard Askey and James WilsonProvidence, Rhode Island, United States :American Mathematical Society,1985.©19851 online resource (63 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 54, Number 319"March 1985, Volume 54, Number 319 (first of 6 numbers)"--Cover.0-8218-2321-3 Includes bibliographical references.""Table of Contents""; ""1. Introduction""; ""Recurrence relation""; ""2. The orthogonality relation""; ""A qâ€?beta integral""; ""The absolute continuous orthogonality""; ""3. A quadratic transformation""; ""4. Some interesting special cases""; ""Continuous qâ€?ultraspherical polynomials""; ""Continuous qâ€?Jacobi polynomials""; ""Continuous qâ€?Laguerre polynomials""; ""Alâ€?Salamâ€?Chihara polynomials""; ""Generalized Tchebycheff polynomials""; ""Continuous qâ€?symmetric Hahn polynomials""; ""qâ€?Meixnerâ€?Pollaczek polynomials""; ""5. Divided difference operators""""Second order difference equation""""Rodrigues type formula""; ""6. Connection coefficients""; ""7. Zeros and inequalitites""; ""8. Remarks""; ""Appendix""; ""References""Memoirs of the American Mathematical Society ;Volume 54, Number 319.Orthogonal polynomialsJacobi polynomialsOrthogonal polynomials.Jacobi polynomials.515/.55Askey Richard41554Wilson James Arthur1951-MiAaPQMiAaPQMiAaPQBOOK9910788889803321Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials3799690UNINA