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1: 4 Elementary Functions
Chapter 4 Elementary Functions
…2: Bibliography X
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Variable precision computation of elementary functions.
J. Numer. Methods Comput. Appl. 15 (3), pp. 161–171 (Chinese).
3: 17.17 Physical Applications
4: Karl Dilcher
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►Dilcher’s research interests include classical analysis, special functions, and elementary, combinatorial, and computational number theory.
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5: 19.36 Methods of Computation
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►When the differences are moderately small, the iteration is stopped, the elementary symmetric functions of certain differences are calculated, and a polynomial consisting of a fixed number of terms of the sum in (19.19.7) is evaluated.
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19.36.1
►where the elementary symmetric functions are defined by (19.19.4).
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19.36.2
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19.36.4
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6: 4.1 Special Notation
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►It is assumed the user is familiar with the definitions and properties of elementary functions of real arguments .
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integers. |
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7: 14.31 Other Applications
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§14.31(ii) Conical Functions
… ►These functions are also used in the Mehler–Fock integral transform (§14.20(vi)) for problems in potential and heat theory, and in elementary particle physics (Sneddon (1972, Chapter 7) and Braaksma and Meulenbeld (1967)). …8: 19.19 Taylor and Related Series
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►Define the elementary symmetric function
by
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19.19.4
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19.19.5
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►The number of terms in can be greatly reduced by using variables with chosen to make .
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9: 19.10 Relations to Other Functions
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