Results 41 to 50 of about 2,433,680 (345)

Explicit Formulas for Some Infinite ₃F₂(1)-Series

Axioms, 2021
We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. We solve them to give the explicit formulas. Additionally, we use the moments of Ramanujan’s generalized elliptic integrals to obtain these recurrence ...
Kwang-Wu Chen
doaj   +1 more source

Solving Lauricella string scattering amplitudes through recurrence relations [PDF]

, 2017
A bstractWe show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA.
Sheng-Hong Lai, Jen-Chi Lee, Taejin Lee, Yi Yang   +3 more
semanticscholar   +1 more source

On "the matching polynomial of a polygraph" [PDF]

, 1993
In this note we give an explanation for two phenomena mentioned in the concluding remarks of “The matching polynomial of a polygraph” by Babić et al. The following results are obtained: \ud 1.\ud Although three matrices for given polygraphs defined in ...
Broersma, H.J., Li, Xueliang
core   +2 more sources

Recurrence relations for inverse and ratio moments of generalized order statistics from doubly truncated

Statistica, 2013
In this article, some recurrence relations of inverse and ratio moments for generalized order statistics from doubly truncated and non-truncated generalized exponential distribution are derived.
Eldesoky E. Afify
doaj   +1 more source

Efficient and robust recurrence relations for the Zernike circle polynomials and their derivatives in Cartesian coordinates.

Optics Express, 2018
For some time it has been known and recommended that the calculation of Zernike polynomials to radial orders higher than 8 to 10 should be performed using recurrence relations rather than explicit expressions due increasingly large cancellation errors ...
Torben Brender Andersen
semanticscholar   +1 more source

Probabilistic recurrence relations revisited

Theoretical Computer Science, 1995
AbstractThe performance attributes of a broad class of randomised algorithms can be described by a recurrence relation of the form T(x) = a(x) + T(H(x)), where a is a function and H(x) is a random variable. For instance, T(x) may describe the running time of such an algorithm on a problem of size x.
Chaudhuri, S., Dubhashi, D.
openaire   +5 more sources

Computing recurrence coefficients of multiple orthogonal polynomials

, 2015
Multiple orthogonal polynomials satisfy a number of recurrence relations, in particular there is a $(r+2)$-term recurrence relation connecting the type II multiple orthogonal polynomials near the diagonal (the so-called step-line recurrence relation) and
Filipuk, Galina, Haneczok, Maciej, Van Assche, Walter   +2 more
core   +1 more source

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials V : Racah and $q$-Racah types

, 2019
In previous papers, we discussed the recurrence relations of the multi-indexed orthogonal polynomials of the Laguerre, Jacobi, Wilson and Askey-Wilson types. In this paper we explore those of the Racah and $q$-Racah types. For the $M$-indexed ($q$-)Racah
Odake, Satoru
core   +1 more source

Relations for Moments of Dual Generalized Order Statistics from Exponentiated Rayleigh Distribution and Associated Inference

Journal of Statistical Theory and Applications (JSTA), 2019
In this paper we obtain exact expressions and some recurrence relations satisfied by single and product moments of dual generalized order statistics from exponentiated Rayleigh distribution. These relations are deduced for moments of order statistics and
M. A. Khan, R. U. Khan, B. Singh
doaj   +1 more source

On Upper k-Record Values from the Generalized Linear Exponential Distribution

Journal of Statistical Theory and Applications (JSTA), 2021
In this paper, we derive the exact expressions as well as recurrence relations for single and product moment of generalized upper record values from the four-parameter generalized linear exponential distribution.
M. Alam, M. A. Khan, R. U. Khan
doaj   +1 more source