LEADER 01015nam a22002651i 4500 001 991003625479707536 005 20040520110930.0 008 040802s1947 fr a||||||||||||||||fre 035 $ab13102394-39ule_inst 035 $aARCHE-105500$9ExL 040 $aBiblioteca Interfacoltà$bita$cA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l. 082 04$a928 100 1 $aDumesnil, René$0245184 245 10$aGustave Flaubert :$bl'homme et l'oeuvre : avec des documents inédits /$cRené Dumesnil 250 $a3. éd. 260 $aParis :$bDesclée De Brouwer & C.ie,$cc1947 300 $a538 p., [7] c. di tav. :$bill. ;$c21 cm 440 0$aTemps et visages 600 14$aFlaubert, Gustave 907 $a.b13102394$b02-04-14$c05-08-04 912 $a991003625479707536 945 $aLE002 Fondo Giudici H 1623$g1$i2002000330796$lle002$nC. 1$o-$pE0.00$q-$rn$so $t0$u0$v0$w0$x0$y.i1373667x$z05-08-04 996 $aGustave Flaubert$9306970 997 $aUNISALENTO 998 $ale002$b05-08-04$cm$da $e-$ffre$gfr $h0$i1 LEADER 04820nam 2200637Ia 450 001 9910782389403321 005 20230607222130.0 010 $a1-281-96072-1 010 $a9786611960728 010 $a981-281-178-8 035 $a(CKB)1000000000538094 035 $a(EBL)1681575 035 $a(SSID)ssj0000161421 035 $a(PQKBManifestationID)11155006 035 $a(PQKBTitleCode)TC0000161421 035 $a(PQKBWorkID)10197882 035 $a(PQKB)11271185 035 $a(MiAaPQ)EBC1681575 035 $a(WSP)00004463 035 $a(Au-PeEL)EBL1681575 035 $a(CaPaEBR)ebr10255792 035 $a(CaONFJC)MIL196072 035 $a(OCoLC)815756570 035 $a(EXLCZ)991000000000538094 100 $a20010718d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeneralized associated Legendre functions and their applications$b[electronic resource] /$fNina Virchenko, Iryna Fedotova 210 $aSingapore ;$aRiver Edge, N.J. $cWorld Scientific$dc2001 215 $a1 online resource (217 p.) 300 $aDescription based upon print version of record. 311 $a981-02-4353-7 320 $aIncludes bibliographical references (p. 183-191) and index. 327 $aForeword; Preface; Contents; 1. A general information on Legendre functions; 2. The generalized associated Legendre functions; 3. The series representations of the generalized associated Legendre functions; 4. Relations between different solutions of the generalized Legendre equation. Wronskians of linearly independent solutions; 5. Relations between contiguous generalized associated Legendre functions; 6. Differential operators generated by the generalized associated Legendre equation 327 $a7. Asymptotic formulas for the generalized associated Legendre functions in a neighborhood of singular points8. Asymptotic representations of the generalized associated Legendre functions as functions of parameters; 9. Integral representations of the generalized associated Legendre functions of the first kind; 10. Integral representations of the generalized associated Legendre functions of the second kind; 11. Zeros of the generalized associated Legendre functions; 12. Connection of the generalized associated Legendre functions with the Jacobi functions 327 $a13. Integral relations and series with the generalized associated Legendre functions14. Relations between the generalized associated Legendre functions Bessel functions elliptic integrals and incomplete B-functions; 15. Integral transforms with the generalized associated Legendre functions; 16. Dual integral equations with the generalized Legendre function of the first kind Pm,n -1/2+i?(ch?); 17. Dual integral equations with Pm,n -1/2+i?(ch?) and the weight function [1 + G(?)]; 18. Triple integral equations with the generalized Legendre function of the first kind Pm,n -1/2+i?(ch?) 327 $a19. Hybrid dual integral equations20. Systems of triple integral equations with the generalized associated Legendre functions of the first kind Pm,n -1/2+i?(ch?); 21. On a property of the fractional Riemann-Liouville integral of Pm,n k (z); 22. On some generalized integral operators of Buschman-Erde?lyi's type; 23. Factorization of integral operators with the generalized associated Legendre functions and its application for solving integral equations; 24. Some generalizations of integral transforms of Mehler-Fock type and their applications 327 $a25. Examples of the integrals involving the generalized associated Legendre functionsAppendix. The hypergeometric function; Bibliography; Subject index 330 $aThe various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions ? Fq , Meijer's G -function, Fox's H -function, etc. Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed 606 $aLegendre's functions 606 $aSpherical harmonics 615 0$aLegendre's functions. 615 0$aSpherical harmonics. 676 $a515.53 700 $aVirchenko$b N. O$g(Nina Opanasivna)$0486847 701 $aFedotova$b Iryna$0734232 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782389403321 996 $aGeneralized associated Legendre functions and their applications$91449052 997 $aUNINA