Generalized associated Legendre functions and their applications [[electronic resource] /] / Nina Virchenko, Iryna Fedotova

• Record Nr.: UNINA9910454378003321
• Autore: Virchenko N. O (Nina Opanasivna)
• Pubbl/distr/stampa: Singapore ; ; River Edge, N.J., : World Scientific, c2001
• ISBN: 1-281-96072-1; 9786611960728; 981-281-178-8
• Descrizione fisica: 1 online resource (217 p.)
• Altri autori (Persone): FedotovaIryna
• Disciplina: 515.53
• Soggetti: Legendre's functions; Spherical harmonics; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 183-191) and index.
• 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
• Sommario/riassunto: The 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

Tourisme et développement : Regards croisés / / Christian Bataillou, Bernard Schéou

• Record Nr.: UNINA9910495851203321
• Autore: Abdallaoui Bouchaïb
• Pubbl/distr/stampa: Perpignan, : Presses universitaires de Perpignan, 2020
• ISBN: 2-35412-366-3
• Descrizione fisica: 1 online resource (483 p.)
• Collana: Études
• Altri autori (Persone): BataillouChristian; CaireGilles; EzaïdiAbdelkrim; FrimousseSoufyane; FurtJean-Marie; GauchonChristophe; GillotLaurence; GundolfKatherine; HoernerJean-Michel; JaouenAnnabelle; LerouxStéphanie; Le MasnePierre; LoupStéphanie; MartelLudovic; MerasliSaida; MoudoudBrahim; OnghenaYolanda; Perrin-MalterreClémence; Peyrache-GadeauVéronique; Regalado-PezúaOtto; SchéouBernard; SimonGwendal; StoraïChristophe; Venzal-BardeChristel; WieckowskiMarek
• Soggetti: Environmental Studies; tourisme; politique; environnement; éthique; développement durable; économie
• Lingua di pubblicazione: Francese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Sommario/riassunto: Le tourisme est un secteur important d’activité pour certains pays en développement mais est-il toujours un facteur de développement ? Constitue-t-il vraiment une solution ou au contraire un problème sur le plan économique et social des régions voire des pays défavorisés. Sa capacité à améliorer la qualité de la vie en société ou au contraire à la dégrader, à résoudre ou à créer des problèmes sociaux, à préserver le patrimoine ou à le détruire est incontestable. Les communications présentées dans cet ouvrage présentent quelques-unes des opportunités offertes par ce phénomène et soulignent la nécessité d’en contrôler la croissance susceptible de menacer l’environnement naturel et la vie sociale et culturelle des pays concernés. Dans ce cadre, et même si l’expansion du tourisme relève souvent du secteur privé, le rôle de la firme (grandes entreprises autant que petites et moyennes entreprises) et la place dévolue à l’éthique, ne doivent pas occulter la responsabilité des pouvoirs publics garants de la stabilité politique, de la gestion de l’environnement et de la sécurité, qui conditionnent le succès des destinations.