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1: 5.5 Functional Relations
Duplication Formula
2: 10.60 Sums
§10.60(ii) Duplication Formulas
3: 19.11 Addition Theorems
§19.11(iii) Duplication Formulas
4: 23.10 Addition Theorems and Other Identities
§23.10(ii) Duplication Formulas
5: 20.7 Identities
§20.7(iii) Duplication Formula
6: 19.26 Addition Theorems
§19.26(iii) Duplication Formulas
7: 20.11 Generalizations and Analogs
Such sets of twelve equations include derivatives, differential equations, bisection relations, duplication relations, addition formulas (including new ones for theta functions), and pseudo-addition formulas. …
8: Bibliography C
  • R. G. Campos (1995) A quadrature formula for the Hankel transform. Numer. Algorithms 9 (2), pp. 343–354.
  • L. Carlitz (1961a) A recurrence formula for ζ ( 2 n ) . Proc. Amer. Math. Soc. 12 (6), pp. 991–992.
  • B. C. Carlson (1979) Computing elliptic integrals by duplication. Numer. Math. 33 (1), pp. 1–16.
  • J. Choi and A. K. Rathie (2013) An extension of a Kummer’s quadratic transformation formula with an application. Proc. Jangjeon Math. Soc. 16 (2), pp. 229–235.
  • R. Cools (2003) An encyclopaedia of cubature formulas. J. Complexity 19 (3), pp. 445–453.