Rogers%E2%80%93Ramanujan%20identities
(0.003 seconds)
11—20 of 249 matching pages
11: 18.33 Polynomials Orthogonal on the Unit Circle
…
►When the Askey case is also known as the Rogers–Szegő case.
See for a more general class Costa et al. (2012).
…
►
18.33.22
…
►
18.33.26
…
12: 16.4 Argument Unity
…
►See Erdélyi et al. (1953a, §4.4(4)) for a non-terminating balanced identity.
…
►
Rogers–Dougall Very Well-Poised Sum
… ►§16.4(iii) Identities
… ►Methods of deriving such identities are given by Bailey (1964), Rainville (1960), Raynal (1979), and Wilson (1978). … ► …13: 17.6 Function
…
►
Rogers–Fine Identity
…14: Bibliography K
…
►
A proof of the -Macdonald-Morris conjecture for
.
Mem. Amer. Math. Soc. 108 (516), pp. vi+80.
…
►
Asymptotic expansions of certain -series and a formula of Ramanujan for specific values of the Riemann zeta function.
Acta Arith. 107 (3), pp. 269–298.
…
►
Linear convergence and the bisection algorithm.
Amer. Math. Monthly 93 (1), pp. 48–51.
…
►
Dilogarithm identities.
Progr. Theoret. Phys. Suppl. (118), pp. 61–142.
…
►
The Askey scheme as a four-manifold with corners.
Ramanujan J. 20 (3), pp. 409–439.
…
15: 27.2 Functions
…
►Euclid’s Elements (Euclid (1908, Book IX, Proposition 20)) gives an elegant proof that there are infinitely many primes.
…
►
27.2.8
►and if is the smallest positive integer such that , then is a primitive root mod .
…
►
►
16: Bibliography D
…
►
Irreducibility of certain generalized Bernoulli polynomials belonging to quadratic residue class characters.
J. Number Theory 25 (1), pp. 72–80.
…
►
Ramanujan’s master theorem for symmetric cones.
Pacific J. Math. 175 (2), pp. 447–490.
…
►
Theta functions and non-linear equations.
Uspekhi Mat. Nauk 36 (2(218)), pp. 11–80 (Russian).
…
►
Error analysis in a uniform asymptotic expansion for the generalised exponential integral.
J. Comput. Appl. Math. 80 (1), pp. 127–161.
…
►
Uniform asymptotic expansions for Charlier polynomials.
J. Approx. Theory 112 (1), pp. 93–133.
…
17: Bibliography H
…
►
The Laplace transform for expressions that contain a probability function.
Bul. Akad. Štiince RSS Moldoven. 1973 (2), pp. 78–80, 93 (Russian).
…
►
Expansions for the probability function in series of Čebyšev polynomials and Bessel functions.
Bul. Akad. Štiince RSS Moldoven. 1976 (1), pp. 77–80, 96 (Russian).
►
Integrals that contain a probability function of complicated arguments.
Bul. Akad. Štiince RSS Moldoven. 1976 (1), pp. 80–84, 96 (Russian).
►
Sums with cylindrical functions that reduce to the probability function and to related functions.
Bul. Akad. Shtiintse RSS Moldoven. 1978 (3), pp. 80–84, 95 (Russian).
…
►
Some properties and applications of the repeated integrals of the error function.
Proc. Manchester Lit. Philos. Soc. 80, pp. 85–102.
…
18: 18.1 Notation
…
►
…
19: 26.6 Other Lattice Path Numbers
…
►
Table 26.6.1: Delannoy numbers .
►
►
►
…
►
…
►
… | |||||||||||
10 | 1 | 21 | 221 | 1561 | 8361 | 36365 | 1 34245 | 4 33905 | 12 56465 | 33 17445 | 80 97453 |
§26.6(iv) Identities
►
26.6.12
…