cycle notation
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11—20 of 265 matching pages
11: 12.1 Special Notation
§12.1 Special Notation
►(For other notation see Notation for the Special Functions.) … ►These notations are due to Miller (1952, 1955). …The notations are related by . Whittaker’s notation is useful when is a nonnegative integer (Hermite polynomial case).12: 9.1 Special Notation
§9.1 Special Notation
►(For other notation see Notation for the Special Functions.) ►nonnegative integer, except in §9.9(iii). | |
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13: Bibliography G
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Stirling number representation problems.
Proc. Amer. Math. Soc. 11 (3), pp. 447–451.
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Concrete Mathematics: A Foundation for Computer Science.
2nd edition, Addison-Wesley Publishing Company, Reading, MA.
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General form of the quantum-defect theory.
Phys. Rev. A 19 (4), pp. 1485–1509.
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General approach to few-cycle intense laser interactions with complex atoms.
Phys. Rev. A 76, pp. 053411.
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14: 8.1 Special Notation
§8.1 Special Notation
►(For other notation see Notation for the Special Functions.) … ►Unless otherwise indicated, primes denote derivatives with respect to the argument. … ►Alternative notations include: Prym’s functions , , Nielsen (1906a, pp. 25–26), Batchelder (1967, p. 63); , , Dingle (1973); , , Magnus et al. (1966); , , Luke (1975).15: 7.1 Special Notation
§7.1 Special Notation
►(For other notation see Notation for the Special Functions.) … ►Unless otherwise noted, primes indicate derivatives with respect to the argument. … ►Alternative notations are , , , , , , , . ►The notations , , and are used in mathematical statistics, where these functions are called the normal or Gaussian probability functions. …16: 25.1 Special Notation
§25.1 Special Notation
►(For other notation see Notation for the Special Functions.) ►nonnegative integers. | |
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17: 11.1 Special Notation
§11.1 Special Notation
►(For other notation see Notation for the Special Functions.) … ►For the functions , , , , , and see §§10.2(ii), 10.25(ii). …18: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
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is the number of permutations of with
cycles of length 1,
cycles of length 2, , and
cycles of length :
…(The empty set is considered to have one permutation consisting of no cycles.)
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