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You, Yuan, Chen, Chang-Yuan, Tahir, Farida, Dong, Shi-Hai (2017) Evaluation of more general integrals involving universal associated Legendre polynomials. Journal of Mathematical Physics, 58. 52105pp. doi:10.1063/1.4983919

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Reference TypeJournal (article/letter/editorial)
TitleEvaluation of more general integrals involving universal associated Legendre polynomials
JournalJournal of Mathematical Physics
AuthorsYou, YuanAuthor
Chen, Chang-YuanAuthor
Tahir, FaridaAuthor
Dong, Shi-HaiAuthor
Year2017 (May)Volume58
PublisherAIP Publishing
DOIdoi:10.1063/1.4983919Search in ResearchGate
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Mindat Ref. ID5771395Long-form Identifiermindat:1:5:5771395:3
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Full ReferenceYou, Yuan, Chen, Chang-Yuan, Tahir, Farida, Dong, Shi-Hai (2017) Evaluation of more general integrals involving universal associated Legendre polynomials. Journal of Mathematical Physics, 58. 52105pp. doi:10.1063/1.4983919
Plain TextYou, Yuan, Chen, Chang-Yuan, Tahir, Farida, Dong, Shi-Hai (2017) Evaluation of more general integrals involving universal associated Legendre polynomials. Journal of Mathematical Physics, 58. 52105pp. doi:10.1063/1.4983919
In(n.d.) Journal of Mathematical Physics Vol. 58. AIP Publishing

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Yañez-Navarro, G., Sun, Guo-Hua, Sun, Dong-Sheng, Chen, Chang-Yuan, Dong, Shi-Hai (2017) Evaluate More General Integrals Involving Universal Associated Legendre Polynomials via Taylor’s Theorem. Communications in Theoretical Physics, 68 (2). 177pp. doi:10.1088/0253-6102/68/2/177
Chen, Chang-Yuan, You, Yuan, Lu, Fa-Lin, Sun, Dong-Sheng, Dong, Shi-Hai (2016) Universal Associated Legendre Polynomials and Some Useful Definite Integrals. Communications in Theoretical Physics, 66 (2). 158-162 doi:10.1088/0253-6102/66/2/158
Sun, Dong-Sheng, You, Yuan, Lu, Fa-Lin, Chen, Chang-Yuan, Dong, Shi-Hai (2016) On Integrals Involving Universal Associated Legendre Polynomials and Powers of the Factor (1 − x 2 ) and Their Byproducts. Communications in Theoretical Physics, 66 (4). 369-373 doi:10.1088/0253-6102/66/4/369
Chen, Chang-Yuan, You, Yuan, Lu, Fa-Lin, Sun, Dong-Sheng, Dong, Shi-Hai (2014) The Origin and Mathematical Characteristics of the Super-Universal Associated-Legendre Polynomials. Communications in Theoretical Physics, 62 (3). 331-337 doi:10.1088/0253-6102/62/3/07
Salem, L D, Wio, H S (1989) Some integrals involving Legendre polynomials and associated Legendre functions. Journal of Physics A: Mathematical and General, 22. 4331-4338 doi:10.1088/0305-4470/22/20/012
Rashid, M A (1986) Evaluation of integrals involving powers of (1-x2) and two associated Legendre functions or Gegenbauer polynomials. Journal of Physics A: Mathematical and General, 19. 2505-2512 doi:10.1088/0305-4470/19/13/016
Laursen, M L, Mita, K (1981) Some integrals involving associated Legendre functions and Gegenbauer polynomials. Journal of Physics A: Mathematical and General, 14. 1065-1068 doi:10.1088/0305-4470/14/5/025
Ullah, Nazakat (1984) Evaluation of an integral involving associated Legendre polynomials and inverse powers of (1−X2). Journal of Mathematical Physics, 25. 872-873 doi:10.1063/1.526238
Chen, Tien Chi (1971) Evaluation Techniques for Quantum Mechanical Integrals Involving Orthogonal Polynomials. Journal of Mathematical Physics, 12. 1035-1038 doi:10.1063/1.1665672
Dong, Shi-Hai (2002) Comment on `A single-sum expression for the overlap integral of two associated Legendre polynomials'. Journal of Physics A: Mathematical and General, 35. 4187-4188 doi:10.1088/0305-4470/35/18/401
Chen, Chang-Yuan, Lu, Fa-Lin, Sun, Dong-Sheng, You, Yuan, Dong, Shi-Hai (2016) Spin–orbit interaction for the double ring-shaped oscillator. Annals of Physics, 371. 183-198 doi:10.1016/j.aop.2016.04.012
 
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