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The Zeros of $ P_\nu^1(\cos \theta)$ and $ \frac{\partial}{\partial\theta} P^1_\mu(\cos\theta)$


Author: Peter H. Wilcox
Journal: Math. Comp. 22 (1968), 205-208
DOI: https://doi.org/10.1090/S0025-5718-68-99885-2
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  • [5] K. M. Siegel, J. W. Crispin, R. E. Kleinman & H. E. Hunter, "The zeros of $ {P_n}{_{_i}'}({x_0})$ of non-integral degree," J. Math. Physics, v. 31, 1952, pp. 170-179. MR 14, 321. MR 0050369 (14:321d)
  • [6] K. M. Siegel, J. W. Crispin, R. E. Kleinman & H. E. Hunter, "Note on the zeros of $ (d{P_{{n_i}}}1(x)/dx)\vert x = {x_0},$" J. Math. Physics, v. 32, 1953, pp. 193-196. MR 15, 255. MR 0057613 (15:255i)
  • [7] P. C. Waterman, "Roots of Legendre functions of variable index," J. Math. Physics, v. 42, 1963, pp. 323-328. MR 28 #2269. MR 0159051 (28:2269)


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-68-99885-2
Article copyright: © Copyright 1968 American Mathematical Society

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