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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.1
- 발행연도
- 2017.1
- 수록면
- 61 - 72 (12page)
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In this paper, we study non-linear differential equations associated with Legendre polynomials and their applications. From our study of non- linear differential equations, we derive some new and explicit identities for Legendre polynomials.
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참고문헌 (34)
참고문헌 신청
S. Abbasbandy / 2015 / Applica-tion of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation / Appl. Math. Comput 266:31~40
M. Abramowitz / 1964 / Handbook of mathematical functions with for-mulas, graphs, and mathematical tables / For sale by the Superintendent of Documents, U.S. Government Printing Office
G. E. Albert / 1939 / Asymtotic forms for a general class of hypergeometric func-tions with aapplication to the generalized Legendre functions / Duke. Math. J 5(2):281~292
G. B. Arfken / 2001 / Mathematical methods for physicists / Harcourt/Academic Press
V. M. Babich / 2002 / To the problem on the asymptotics with respect to the indices of the associated Legendre function / Russ. J. Math. Phys 9(1):6~13
M. Abramowitz / 1964 / Handbook of mathematical functions with for-mulas, graphs, and mathematical tables / For sale by the Superintendent of Documents, U.S. Government Printing Office
G. E. Albert / 1939 / Asymtotic forms for a general class of hypergeometric func-tions with aapplication to the generalized Legendre functions / Duke. Math. J 5(2):281~292
G. B. Arfken / 2001 / Mathematical methods for physicists / Harcourt/Academic Press
V. M. Babich / 2002 / To the problem on the asymptotics with respect to the indices of the associated Legendre function / Russ. J. Math. Phys 9(1):6~13
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