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1: 30.4 Functions of the First Kind
When γ 2 > 0 𝖯𝗌 n m ( x , γ 2 ) is the prolate angular spheroidal wave function, and when γ 2 < 0 𝖯𝗌 n m ( x , γ 2 ) is the oblate angular spheroidal wave function. If γ = 0 , 𝖯𝗌 n m ( x , 0 ) reduces to the Ferrers function 𝖯 n m ( x ) : …
2: Bibliography J
  • S. Jorna and C. Springer (1971) Derivation of Green-type, transitional and uniform asymptotic expansions from differential equations. V. Angular oblate spheroidal wavefunctions p s ¯ n r ( η , h ) and q s ¯ n r ( η , h ) for large h . Proc. Roy. Soc. London Ser. A 321, pp. 545–555.
  • 3: Bibliography V
  • A. L. Van Buren, B. J. King, R. V. Baier, and S. Hanish (1975) Tables of Angular Spheroidal Wave Functions, Vol. 1, Prolate, m = 0 ; Vol. 2, Oblate, m=0. Naval Res. Lab. Reports, Washington, D.C..