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1: 12 Parabolic Cylinder Functions
Chapter 12 Parabolic Cylinder Functions
…2: 34.6 Definition: Symbol
3: 34.7 Basic Properties: Symbol
4: 32.3 Graphics
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►Plots of solutions of with and for various values of , and the parabola .
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►with , , and
…If we set in (32.3.2) and solve for , then
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5: 4.17 Special Values and Limits
6: Staff
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William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Nico M. Temme, Centrum Wiskunde Informatica, Chaps. 3, 6, 7, 12
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Nico M. Temme, Centrum Wiskunde & Informatica (CWI), for Chaps. 3, 6, 7, 12
7: 10.48 Graphs
8: 27.2 Functions
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►where are the distinct prime factors of , each exponent is positive, and is the number of distinct primes dividing .
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►The numbers are relatively prime to and distinct (mod ).
…It is the special case of the function that counts the number of ways of expressing as the product of factors, with the order of factors taken into account.
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27.2.12
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9: 34.11 Higher-Order Symbols
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►For information on ,…, symbols, see Varshalovich et al. (1988, §10.12) and Yutsis et al. (1962, pp. 62–65 and 122–153).