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11: 3.11 Approximation Techniques
Starting with the first column [ n / 0 ] f , n = 0 , 1 , 2 , , and initializing the preceding column by [ n / 1 ] f = , n = 1 , 2 , , we can compute the lower triangular part of the table via (3.11.25). Similarly, the upper triangular part follows from the first row [ 0 / n ] f , n = 0 , 1 , 2 , , by initializing [ 1 / n ] f = 0 , n = 1 , 2 , . …
12: Bibliography K
  • D. Karp, A. Savenkova, and S. M. Sitnik (2007) Series expansions for the third incomplete elliptic integral via partial fraction decompositions. J. Comput. Appl. Math. 207 (2), pp. 331–337.
  • 13: 3.4 Differentiation
    For additional formulas involving values of 2 u and 4 u on square, triangular, and cubic grids, see Collatz (1960, Table VI, pp. 542–546). …
    14: Bibliography B
  • A. Bobenko and A. Its (1995) The Painlevé III equation and the Iwasawa decomposition. Manuscripta Math. 87 (3), pp. 369–377.