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Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova
Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova
Autore Virchenko N. O (Nina Opanasivna)
Pubbl/distr/stampa Singapore ; ; River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (217 p.)
Disciplina 515.53
Altri autori (Persone) FedotovaIryna
Soggetto topico Legendre's functions
Spherical harmonics
Soggetto genere / forma Electronic books.
ISBN 1-281-96072-1
9786611960728
981-281-178-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword; 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
7. 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
13. 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+iτ(chα); 17. Dual integral equations with Pm,n -1/2+iτ(chα) and the weight function [1 + G(τ)]; 18. Triple integral equations with the generalized Legendre function of the first kind Pm,n -1/2+iτ(chα)
19. Hybrid dual integral equations20. Systems of triple integral equations with the generalized associated Legendre functions of the first kind Pm,n -1/2+iτ(chα); 21. On a property of the fractional Riemann-Liouville integral of Pm,n k (z); 22. On some generalized integral operators of Buschman-Erdélyi'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
25. Examples of the integrals involving the generalized associated Legendre functionsAppendix. The hypergeometric function; Bibliography; Subject index
Record Nr. UNINA-9910454378003321
Virchenko N. O (Nina Opanasivna)  
Singapore ; ; River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova
Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova
Autore Virchenko N. O (Nina Opanasivna)
Pubbl/distr/stampa Singapore ; ; River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (217 p.)
Disciplina 515.53
Altri autori (Persone) FedotovaIryna
Soggetto topico Legendre's functions
Spherical harmonics
ISBN 1-281-96072-1
9786611960728
981-281-178-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword; 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
7. 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
13. 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+iτ(chα); 17. Dual integral equations with Pm,n -1/2+iτ(chα) and the weight function [1 + G(τ)]; 18. Triple integral equations with the generalized Legendre function of the first kind Pm,n -1/2+iτ(chα)
19. Hybrid dual integral equations20. Systems of triple integral equations with the generalized associated Legendre functions of the first kind Pm,n -1/2+iτ(chα); 21. On a property of the fractional Riemann-Liouville integral of Pm,n k (z); 22. On some generalized integral operators of Buschman-Erdélyi'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
25. Examples of the integrals involving the generalized associated Legendre functionsAppendix. The hypergeometric function; Bibliography; Subject index
Record Nr. UNINA-9910782389403321
Virchenko N. O (Nina Opanasivna)  
Singapore ; ; River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova
Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova
Autore Virchenko N. O (Nina Opanasivna)
Pubbl/distr/stampa Singapore ; ; River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (217 p.)
Disciplina 515.53
Altri autori (Persone) FedotovaIryna
Soggetto topico Legendre's functions
Spherical harmonics
ISBN 1-281-96072-1
9786611960728
981-281-178-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword; 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
7. 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
13. 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+iτ(chα); 17. Dual integral equations with Pm,n -1/2+iτ(chα) and the weight function [1 + G(τ)]; 18. Triple integral equations with the generalized Legendre function of the first kind Pm,n -1/2+iτ(chα)
19. Hybrid dual integral equations20. Systems of triple integral equations with the generalized associated Legendre functions of the first kind Pm,n -1/2+iτ(chα); 21. On a property of the fractional Riemann-Liouville integral of Pm,n k (z); 22. On some generalized integral operators of Buschman-Erdélyi'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
25. Examples of the integrals involving the generalized associated Legendre functionsAppendix. The hypergeometric function; Bibliography; Subject index
Record Nr. UNINA-9910826714003321
Virchenko N. O (Nina Opanasivna)  
Singapore ; ; River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Generalized associated Legendre functions and their applications / Nina Virchenko, Iryna Fedotova
Generalized associated Legendre functions and their applications / Nina Virchenko, Iryna Fedotova
Autore Virchenko, Nina Opanasivna
Pubbl/distr/stampa Singapore ; River Edge, N. J. : World Scientific, c2001
Descrizione fisica xx, 195 p. : ill. ; 23 cm
Disciplina 515.53
Altri autori (Persone) Fedotova, Irynaauthor
Soggetto topico Legendre's functions
ISBN 9810243537
Classificazione AMS 33-01
AMS 33C45
LC QA406.V57
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991002544449707536
Virchenko, Nina Opanasivna  
Singapore ; River Edge, N. J. : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Graph theory / Reinhard Diestel
Graph theory / Reinhard Diestel
Autore Diestel, Reinhard
Edizione [2. ed]
Pubbl/distr/stampa New York, : Springer, 2000
Descrizione fisica XIV, 312 p. : ill. ; 24 cm.
Disciplina 515.53
Soggetto topico 05-XX - Combinatorics [MSC 2020]
05Cxx - Graph theory [MSC 2020]
68R10 - Graph theory (including graph drawing) in computer science [MSC 2020]
ISBN 03-87950-14-1
03-87989-76-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-SUN0056107
Diestel, Reinhard  
New York, : Springer, 2000
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Graph theory / Reinhard Diestel
Graph theory / Reinhard Diestel
Autore Diestel, Reinhard
Edizione [2. ed]
Pubbl/distr/stampa New York, : Springer, 2000
Descrizione fisica XIV, 312 p. : ill. ; 24 cm
Disciplina 515.53
Soggetto topico 05-XX - Combinatorics [MSC 2020]
05Cxx - Graph theory [MSC 2020]
68R10 - Graph theory (including graph drawing) in computer science [MSC 2020]
ISBN 03-87950-14-1
03-87989-76-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0056107
Diestel, Reinhard  
New York, : Springer, 2000
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Harmonic function theory / S. Axler, P. Bourdon, W. Ramey
Harmonic function theory / S. Axler, P. Bourdon, W. Ramey
Autore Axler, Sheldon
Edizione [Second edition]
Pubbl/distr/stampa New York : Springer, c2001
Descrizione fisica viii, 259 p. : ill. ; 24 cm
Disciplina 515.53
Altri autori (Persone) Bourdon, Paul
Ramey, Wade
Collana Graduate texts in mathematics
Soggetto non controllato Funzioni armoniche
ISBN 0-387-95218-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-990001484390403321
Axler, Sheldon  
New York : Springer, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Harmonic function theory / Sheldon Axler, Paul Bourdon, Wade Ramey
Harmonic function theory / Sheldon Axler, Paul Bourdon, Wade Ramey
Autore Axler, Sheldon
Edizione [2nd ed]
Pubbl/distr/stampa New York [etc.], : Springer - Verlag, copyr. 2001
Descrizione fisica X, 259 p. : ill. ; 20 cm
Disciplina 515.53
Altri autori (Persone) Bourdon, Paul
Ramey, Wade
Collana Graduate texts in mathematics
Soggetto topico Funzioni armoniche
ISBN 0-387-95218-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-990000411570203316
Axler, Sheldon  
New York [etc.], : Springer - Verlag, copyr. 2001
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Harmonic Function Theory / Sheldon Axler , Paul Bourdon, Wade Ramey
Harmonic Function Theory / Sheldon Axler , Paul Bourdon, Wade Ramey
Autore Axler, Sheldon
Pubbl/distr/stampa New York : Springer Verlag, 1992
Descrizione fisica xii, 231 p. ; 24 cm
Disciplina 515
515.53
Collana Graduate texts in mathematics
Soggetto non controllato Equazioni differenziali ed integrali
Equazioni differenziali ordinate alle derivate parziali
Funzioni armoniche
ISBN 0387978755
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-990002580380403321
Axler, Sheldon  
New York : Springer Verlag, 1992
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Harmonic function theory / Sheldon Axler, Paul Bourdon, Wade Ramey
Harmonic function theory / Sheldon Axler, Paul Bourdon, Wade Ramey
Autore Axler, Sheldon
Pubbl/distr/stampa New York [etc.] : Springer, c1992
Descrizione fisica XII, 231 p. : ill. ; 25 cm.
Disciplina 515.53
Altri autori (Persone) Bourdon, Paul
Ramey, Wade
Collana Graduate texts in mathematics
Soggetto topico Funzioni armoniche
ISBN 0-387-97875-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNIBAS-000011840
Axler, Sheldon  
New York [etc.] : Springer, c1992
Materiale a stampa
Lo trovi qui: Univ. della Basilicata
Opac: Controlla la disponibilità qui