Rogers–Fine identity
(0.001 seconds)
41—50 of 153 matching pages
41: 10.23 Sums
…
►For expansions of products of Bessel functions of the first kind in partial fractions see Rogers (2005).
…
42: 27.14 Unrestricted Partitions
…
►
§27.14(v) Divisibility Properties
►Ramanujan (1921) gives identities that imply divisibility properties of the partition function. For example, the Ramanujan identity …implies . …For example, . …43: Bibliography N
…
►
Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations.
Institute of Physics Publishing, Bristol.
…
44: DLMF Project News
error generating summary45: 26.3 Lattice Paths: Binomial Coefficients
…
►
§26.3(iv) Identities
…46: 27.19 Methods of Computation: Factorization
…
►Type II probabilistic algorithms for factoring rely on finding a pseudo-random pair of integers that satisfy .
…
47: 20.7 Identities
§20.7 Identities
… ►Also, in further development along the lines of the notations of Neville (§20.1) and of Glaisher (§22.2), the identities (20.7.6)–(20.7.9) have been recast in a more symmetric manner with respect to suffices . … ►§20.7(v) Watson’s Identities
… ►
20.7.15
…
►This reference also gives the eleven additional identities for the permutations of the four theta functions.
…
48: 24.19 Methods of Computation
…
►Another method is based on the identities
…
►For number-theoretic applications it is important to compute for ; in particular to find the irregular pairs
for which .
…
49: 25.9 Asymptotic Approximations
…
►
25.9.2
…
50: 25.13 Periodic Zeta Function
…
►
25.13.1
…