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

Radosław Szmytkowski

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

Abstract

W pracy podano szereg zamkniętych wyrażeń dla pochodnej stowarzyszonej funkcji Legendre'a o stopniu (dolnym indeksie) całkowitym względem jej rzędu (górnego indeksu). Wyniki zastosowano do wyprowadzenia kilku nowych reprezentacji, w tym typu Rodriguesa, stowarzyszonych funkcji Legendre'a drugiego rodzaju z całkowityni indeksani.

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Radosław Szmytkowski prof. dr hab.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: JOURNAL OF MATHEMATICAL CHEMISTRY no. 46, pages 231 - 260,
ISSN: 0259-9791
Language:: English
Publication year:: 2009
Bibliographic description:: Szmytkowski R.: On the derivative of associated Le.gendre function of the first kind of integer degree with respect to its order (with applications to the construction of the associated Legendre function of the second kind of integer degree and order)// JOURNAL OF MATHEMATICAL CHEMISTRY. -Vol. 46, nr. iss. 1, June. (2009), s.231-260
Verified by:: Gdańsk University of Technology