On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order). - Publication - Bridge of Knowledge

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On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order).

Abstract

Wyprowadzono szereg zamkniętych wyrażeń dla pochodnych stowarzyszonej funkcji Legendre'a pierwszego rodzaju względem jej dolnego indeksu w przypadku, gdy górny indeks jest liczbą całkowitą. Wyniki zastosowano do znalezienia pewnych nowych reprezentacji (w tym typu Rodriguesa) stowarzyszonych funkcji Legendre'a drugiego rodzaju o indeksach całkowitych.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
JOURNAL OF MATHEMATICAL CHEMISTRY no. 49, pages 1436 - 1477,
ISSN: 0259-9791
Language:
English
Publication year:
2011
Bibliographic description:
Szmytkowski R.: On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order).// JOURNAL OF MATHEMATICAL CHEMISTRY. -Vol. 49, nr. iss. 7 (2011), s.1436-1477
Verified by:
Gdańsk University of Technology

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