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1: 29.12 Definitions
§29.12(ii) Algebraic Form
2: 31.8 Solutions via Quadratures
For m = ( m 0 , 0 , 0 , 0 ) , these solutions reduce to Hermite’s solutions (Whittaker and Watson (1927, §23.7)) of the Lamé equation in its algebraic form. …
3: 29.2 Differential Equations
§29.2(i) Lamé’s Equation
4: 28.2 Definitions and Basic Properties
With ζ = sin 2 z we obtain the algebraic form of Mathieu’s equation
28.2.2 ζ ( 1 - ζ ) w ′′ + 1 2 ( 1 - 2 ζ ) w + 1 4 ( a - 2 q ( 1 - 2 ζ ) ) w = 0 .
With ζ = cos z we obtain another algebraic form: …
5: 28.20 Definitions and Basic Properties
with its algebraic form
28.20.2 ( ζ 2 - 1 ) w ′′ + ζ w + ( 4 q ζ 2 - 2 q - a ) w = 0 , ζ = cosh z .
6: 34.5 Basic Properties: 6 j Symbol
If any lower argument in a 6 j symbol is 0 , 1 2 , or 1 , then the 6 j symbol has a simple algebraic form. …
7: 34.3 Basic Properties: 3 j Symbol
When any one of j 1 , j 2 , j 3 is equal to 0 , 1 2 , or 1 , the 3 j symbol has a simple algebraic form. …
8: Bibliography B
  • W. S. Burnside and A. W. Panton (1960) The Theory of Equations: With an Introduction to the Theory of Binary Algebraic Forms. Dover Publications, New York.
  • 9: Bibliography H
  • J. H. Hubbard and B. B. Hubbard (2002) Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach. 2nd edition, Prentice Hall Inc., Upper Saddle River, NJ.
  • 10: 22.18 Mathematical Applications
    Algebraic curves of the form y 2 = P ( x ) , where P is a nonsingular polynomial of degree 3 or 4 (see McKean and Moll (1999, §1.10)), are elliptic curves, which are also considered in §23.20(ii). …