SOPQ: Symbolic OPQ

Walter Gautschi



This includes symbolic versions of OPQ routines currently available and some other symbolic routines.


ORTHOGONAL POLYNOMIALS

1. Three-Term Recurrence Relation

sr_1sfreud.m  sr_Airy.m  sr_BE.m  sr_Emfin.m  sr_Emfin.m  sr_Enu.m  sr_Enufin_old.m  sr_Enufinmod_nuint.m  sr_Fermi.m  sr_Knu.m  sr_OPbimod.m  sr_OPhrbimod.m  sr_OPhrbimod_old.m  sr_abel_dahlquist.m  sr_alg.m  sr_algexp.m  sr_alglog.m  sr_alglog_dis0.m  sr_alglog_dis1.m  sr_assoc_legendre.m  sr_associated_legendre.m  sr_boseeinstein.m  sr_cBspline.m  sr_cBspline_cheb.m  sr_cBspline_dis.m  sr_cBspline_dis_old.m  sr_charlier_ops.m  sr_ellcheb.m  sr_erfc.m  sr_exlog.m  sr_exp0.m  sr_exp0inf.m  sr_exp0infab.m  sr_exp_abc.m  sr_exp_abcd.m  sr_exp_abcd1.m  sr_explog.m  sr_explog01.m  sr_explog1inf.m  sr_explog_fin.m  sr_explog_inf.m  sr_explog_old.m  sr_explogalg11half_inf.m  sr_explogalg1half01.m  sr_explogalg1half0inf.m  sr_explogalg1m1half_inf.m  sr_explogalgm1half01.m  sr_explogalgm1half0inf.m  sr_fermidirac.m  sr_freud.m  sr_freud1.m  sr_gegexp.m  sr_gengeg.m  sr_ggegenbauer.m  sr_gjacobi.m  sr_gprudnikov_symm.m  sr_hahn_ops.m  sr_hahn_ops_copy.m  sr_hermite.m  sr_hrf.m  sr_hrfreud.m  sr_hrghermite.m  sr_hrh.m  sr_hrhermite.m  sr_hypexp.m  sr_hypexpsymm.m  sr_jacalg.m  sr_jaclog.m  sr_jaclog1.m  sr_jaclogsq.m  sr_jacobi.m  sr_jacobi01.m  sr_kravchuk_ops.m  sr_l1sf.m  sr_l1sfreud.m  sr_l_alglog.m  sr_laglog.m  sr_laglogmm.m  sr_lagsymm.m  sr_laguerre.m  sr_lindeloef_dahlquist.m  sr_log1pe.m  sr_log1pe_0Inf.m  sr_logist.m  sr_logistic.m  sr_logistic_ops.m  sr_lograt.m  sr_logratsq.m  sr_logtype.m  sr_lower_subrange_ghermite.m  sr_lower_subrange_jacobi.m  sr_lsf.m  sr_lsrbinet_old.m  sr_lsrjacobi.m  sr_maxwell.m  sr_mbinet.m  sr_meixner_ops.m  sr_meixner_pollaczek.m  sr_midpoint.m  sr_milovanovic.m  sr_mod_sqabel.m  sr_modbess.m  sr_morse.m  sr_plana.m  sr_plana_dahlquist.m  sr_pollaczek.m  sr_powexp.m  sr_radtrans_cheb.m  sr_radtrans_dis.m  sr_radtrans_dis_old.m  sr_recgamma.m  sr_schroedinger.m  sr_sfreud.m  sr_sin0.m  sr_sqabel.m  sr_sqabel_type.m  sr_sqbinet_alt.m  sr_stieltjes_wigert.m  sr_subjacobi.m  sr_symm_subrange_ghermite.m  sr_symm_subrange_hermite.m  sr_symm_subrange_jacobi.m  sr_symm_subrange_jacobi_old.m  sr_theodorus.m  sr_twoint.m  sr_u1sf.m  sr_u1sfreud.m  sr_upper_subrange_ghermite.m  sr_upper_subrange_jacobi.m  sr_usf.m  sr_usrbinet_old.m  sr_wstar.m

2. Modified Chebyshev Algorithm

schebyshev.m  smm_log.m  smm_logsq.m  momboseeinstein.m  momlambert.m

3. Discretization Methods

sstieltjes.m  slanczos.m  sfejer.m

4. Computing Cauchy Integrals

5. Modification Algorithms

6. Sobolev Orthogonal Polynomials

schebyshev_sob.m  sstieltjes_sob.m  ssobzeros.m


QUADRATURE

1. Gauss-Type Quadrature

sgauss.m  sturan.m


UTILITY ROUTINES

1. Moments

momfreud.m  momboseeinstein.m  momfermidirac.m  momhalfrangehermite.m  smom_hrh.m  vpaconvert.pl  vpaconvert.m