References
- Heiskanen WA, Moritz H. Physical geodesy. Wien: Springer; 2005.
- Edmonds AR. Angular momentum in quantum mechanics. Princeton (NJ): Princeton University Press; 1957.
- Olver FWJ, Lozier D, Boisvert RF, et al. NIST Handbook of mathematical functions. Cambridge: Cambridge University Press; 2010.
- Hobson EW. The theory of spherical and ellipsoidal harmonics. Cambridge: Cambridge University Press; 1931.
- Magnus W, Oberhettinger F. Formulas and theorems for the functions of mathematical physics. New York: Chealsea Publishing Company; 1954.
- Abramowitz M, Stegun IA. Handbook of mathematical functions. Washington: National Bureau of Standards Applied Mathematics Aeries U.S. Government Printing Office; 1964.
- Olver FWJ. Asymptotics and special functions. San Diego: A.K. Peters Wellesley; 1997.
- Van Nostrand RG. The orthogonality of the hyperboloid functions. J Math Phys. 1954;33:276–282. doi: 10.1002/sapm1954331276
- Götze F. Verallgemeinerung einer integral transformation von Mehler-Fock durch den von Kuipers und Meulenbeld eingeführten Kern Pkm,n(z). Indag Math. 1965;27:396–404. doi: 10.1016/S1385-7258(65)50043-3
- Kalmykov SY, Shvets G. Stimulated Raman backscattering of laser radiation in deep plasma channels. Phys Plasmas. 2004;11:4686–4694. doi: 10.1063/1.1778743
- Bielski S. Orthogonality relations for the associated Legendre functions of imaginary order. Integr Transf Spec Funct. 2012;24:331–337. doi: 10.1080/10652469.2012.690097
- Suschowk D. Explicit formulae for 25 of the associated Legendre functions of the second kind. Math Tables Other Aids Comput. 1959;13:303–305. doi: 10.2307/2002804
- The Wolfram functions site (functions.wolfram.com) [cited 2017 Apr 21]. Available from: http://functions.wolfram.com/HypergeometricFunctions/LegendreQ2General/27/01/.
- Tang KT. Mathematical methods for engineers and scientists. Vol. 3. Berlin: Springer-Verlag; 2007.
- Exton H. A new two-term relation for the 3F2 hypergeometric function of unit argument. J Comput Appl Math. 1999;106:395–397. doi: 10.1016/S0377-0427(99)00077-1
- 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). J Math Chem. 2011;49:1436–1477. doi: 10.1007/s10910-011-9826-3