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 LEADER 02677nam 2200589Ia 450 001 9910782210603321 005 20230721033103.0 010 $a1-281-89255-6 010 $a9786611892555 010 $a1-84642-845-9 035 $a(CKB)1000000000549986 035 $a(EBL)366688 035 $a(OCoLC)437234327 035 $a(SSID)ssj0000290607 035 $a(PQKBManifestationID)11232731 035 $a(PQKBTitleCode)TC0000290607 035 $a(PQKBWorkID)10410524 035 $a(PQKB)10010887 035 $a(MiAaPQ)EBC366688 035 $a(Au-PeEL)EBL366688 035 $a(CaPaEBR)ebr10257016 035 $a(CaONFJC)MIL189255 035 $a(EXLCZ)991000000000549986 100 $a20080404d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aBulimics on bulimia$b[electronic resource] /$fEdited by Maria Stavrou 210 $aLondon ;$aPhiladelphia $cJessica Kingsley$d2009 215 $a1 online resource (162 p.) 300 $aDescription based upon print version of record. 311 $a1-84310-668-X 327 $aBulimics on Bulimia; Contents; ACKNOWLEDGEMENTS; Introduction; 1. Binging and Purging to Stay Alive; 2. There Goes Alice Down the Hole; 3. Living with Diabulimia; 4. Surrounded by People but Completely Alone; 5. Running Away but Going Nowhere; 6. A Love of Athletics; 7. Recovery or What Passes for Normal; 8. High-functioning Superwoman; 9. The Hardest partis Wanting to Recover; 10. Diagnostic Labels and Sexual Abuse; 11. College plus Eating Disorder Equals...; 12. Not Good Enough; 13. An Addictive Personality, Food and Alcohol; 14. Confession to My Roommate, A Day in My Life 327 $a15. Becoming Bankrupt and Losing Everything I Had16. I Want to Be Like You; 17. Sex, Lies and Hedonism; 18. The Lesbian Bulimic Mafia; 19. Diets Don't Work, Bulimia Does; FURTHER READING 330 $aThe book looks at people who are living with the disorder, shedding new light on the day-to-day struggle of coping with bulimia. It challenges the stereotypical image of the bulimic teenage girl, revealing that it affects a far wider range of people, and dispelling the myth that bingeing involves only food and purging involves only vomiting. 606 $aBulimia 606 $aEating disorders 615 0$aBulimia. 615 0$aEating disorders. 676 $a362.25 676 $a616.85 676 $a616.85263 701 $aStavrou$b Maria$01544598 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782210603321 996 $aBulimics on bulimia$93798974 997 $aUNINA