partition%20function
(0.003 seconds)
1—10 of 11 matching pages
1: 26.2 Basic Definitions
…
►
Partition
… ►As an example, , , is a partition of . … ►The total number of partitions of is denoted by . …For the actual partitions () for see Table 26.4.1. ►The integers whose sum is are referred to as the parts in the partition. …2: 26.10 Integer Partitions: Other Restrictions
§26.10 Integer Partitions: Other Restrictions
►§26.10(i) Definitions
… ►§26.10(ii) Generating Functions
… ►§26.10(vi) Bessel-Function Expansion
… ►3: 26.12 Plane Partitions
§26.12 Plane Partitions
►§26.12(i) Definitions
… ► … ►The plane partition in Figure 26.12.1 is an example of a cyclically symmetric plane partition. … ►§26.12(ii) Generating Functions
…4: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
§26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
… ►Table 26.4.1 gives numerical values of multinomials and partitions for . … is a partition of : … is the number of set partitions of with subsets of size 1, subsets of size 2, , and subsets of size : … ►§26.4(ii) Generating Function
…5: 26.9 Integer Partitions: Restricted Number and Part Size
…
►
denotes the number of partitions of into at most parts.
See Table 26.9.1.
…
►It follows that also equals the number of partitions of into parts that are less than or equal to .
…
►
§26.9(ii) Generating Functions
…6: Bibliography C
…
►
Computing the integer partition function.
Math. Comp. 76 (259), pp. 1619–1638.
…
►
Asymptotic estimates for generalized Stirling numbers.
Analysis (Munich) 20 (1), pp. 1–13.
…
►
Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
…
►
Department of Computer Science, University of Victoria, Canada.
…
►
Coulomb effects in the Klein-Gordon equation for pions.
Phys. Rev. C 20 (2), pp. 696–704.
…
7: Bibliography R
…
►
On the partition function p(n).
Proc. London Math. Soc. (2) 43 (4), pp. 241–254.
…
►
Congruence properties of partitions.
Math. Z. 9 (1-2), pp. 147–153.
…
►
Elliptic Functions, Theta Functions, and Riemann Surfaces.
The Williams & Wilkins Co., Baltimore, MD.
►
On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
…
►
Research Institute for Symbolic Computation, Hagenberg im Mühlkreis, Austria.
…
8: Bibliography W
…
►
Evaluating elliptic functions and their inverses.
Comput. Math. Appl. 39 (3-4), pp. 131–136.
…
►
Infinitely differentiable generalized logarithmic and exponential functions.
Math. Comp. 57 (196), pp. 723–733.
…
►
Reduction formulae for products of theta functions.
J. Res. Nat. Inst. Standards and Technology 117, pp. 297–303.
…
►
The Nahm equations, finite-gap potentials and Lamé functions.
J. Phys. A 20 (10), pp. 2679–2683.
…
►
Two tables of partitions.
Proc. London Math. Soc. (2) 42, pp. 550–556.
…
9: Bibliography L
…
►
Algorithm 917: complex double-precision evaluation of the Wright
function.
ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.
…
►
An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
…
►
A partition function connected with the modulus five.
Duke Math. J. 8 (4), pp. 631–655.
…
►
Lie algebraic approaches to classical partition identities.
Adv. in Math. 29 (1), pp. 15–59.
…
►
Monotonicity of the differences of zeros of Bessel functions as a function of order.
Proc. Amer. Math. Soc. 15 (1), pp. 91–96.
…
10: Bibliography
…
►
Repeated integrals and derivatives of Bessel functions.
SIAM J. Math. Anal. 20 (1), pp. 169–175.
…
►
On basic hypergeometric series, mock theta functions, and partitions. II.
Quart. J. Math. Oxford Ser. (2) 17, pp. 132–143.
…
►
Shanks’ convergence acceleration transform, Padé approximants and partitions.
J. Combin. Theory Ser. A 43 (1), pp. 70–84.
…
►
The Theory of Partitions.
Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley Publishing Co., Reading, MA-London-Amsterdam.
►
Plane partitions. III. The weak Macdonald conjecture.
Invent. Math. 53 (3), pp. 193–225.
…