The Zeros of and

Author:
Peter H. Wilcox

Journal:
Math. Comp. **22** (1968), 205-208

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References | Additional Information

**[1]**T. B. A. Senior & P. H. Wilcox, "Traveling waves in relation to the surface fields on a semi-infinite cone,"*Radio Sci.*, v. 2, 1967, pp. 479-487.**[2]**Milton Abramowitz and Irene A. Stegun,*Handbook of mathematical functions with formulas, graphs, and mathematical tables*, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR**0167642****[3]**Wilhelm Magnus and Fritz Oberhettinger,*Formulas and Theorems for the Special Functions of Mathematical Physics*, Chelsea Publishing Company, New York, N.Y., 1949. Translated by John Wermer. MR**0029000****[4]**Pierre A. Carrus and Charlotte G. Treuenfels,*Tables of roots and incomplete integrals of associated Legendre functions of fractional orders*, J. Math. Physics**29**(1951), 282–299. MR**0040058****[5]**K. M. Siegel, J. W. Crispin, R. E. Kleinman, and H. E. Hunter,*The zeros of 𝑃’_{𝑛ᵢ}(𝑥₀) of non-integral degree*, J. Math. Physics**31**(1952), 170–179. MR**0050369****[6]**K. M. Siegel, J. W. Crispin, R. E. Kleinman, and H. E. Hunter,*Note on the zeros of (𝑑𝑃¹_{𝑛ᵢ}(𝑥)/𝑑𝑥)\vert_{𝑥=𝑥₀}*, J. Math. Physics**32**(1953), 193–196. MR**0057613****[7]**P. C. Waterman,*Roots of Legendre functions of variable index*, J. Math. and Phys.**42**(1963), 323–328. MR**0159051**

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-68-99885-2

Article copyright:
© Copyright 1968
American Mathematical Society