Results 21 to 30 of about 3,760,531 (362)

Generalization of Spivey’s Recurrence Relation [PDF]

Russian journal of mathematical physics
In 2008, Spivey found a recurrence relation for the Bell numbers $$\phi_{n}$$ . We consider the probabilistic $$r$$ -Bell polynomials associated with $$Y$$ , $$\phi_{n,r}^{Y}(x)$$ , which are a probabilistic extension of the $$r$$ -Bell polynomials. Here
Taekyun Kim, Dae San Kim
semanticscholar   +1 more source

Recurrence Relations for Orthogonal Polynomials on Triangular Domains

Mathematics, 2016
In Farouki et al, 2003, Legendre-weighted orthogonal polynomials P n , r ( u , v , w ) , r = 0 , 1 , … , n , n ≥ 0 on the triangular domain T = { ( u , v , w ) : u , v , w ≥ 0 , u + v + w = 1 } are constructed, where u , v , w
Abedallah Rababah
doaj   +1 more source

Identities for Fibonacci and Lucas numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this paper several new identities are given for the Fibonacci and Lucas numbers. This is accomplished by by solving a class of non-homogeneous, linear recurrence relations.
George Grossman, Aklilu Zeleke, Xinyun Zhu   +2 more
doaj   +1 more source

Probabilistic recurrence relations revisited

Theoretical Computer Science, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaudhuri, S., Dubhashi, D.
openaire   +3 more sources

Representation of a quotient of solutions of a four-term linear recurrence relation in the form of a branched continued fraction

Carpathian Mathematical Publications, 2019
The quotient of two linearly independent solutions of a four-term linear recurrence relation is represented in the form of a branched continued fraction with two branches of branching by analogous with continued fractions.
I. Bilanyk, D. Bodnar, L. Buyak
semanticscholar   +1 more source

Vitamin D, magnesium, calcium, and their interaction in relation to colorectal cancer recurrence and all-cause mortality

American Journal of Clinical Nutrition, 2020
Background Higher concentrations of 25-hydroxyvitamin D3 [25(OH)D3] at diagnosis are associated with a lower mortality risk in colorectal cancer (CRC) patients. However, magnesium and calcium are important in vitamin D metabolism.
E. Wesselink, D. Kok, M. Bours, Johannes H W de Wilt, Harm van Baar, Moniek van Zutphen, A. Geijsen, E. Keulen, B. Hansson, Jody van den Ouweland, R. Witkamp, M. Weijenberg, E. Kampman, Fränzel J B van Duijnhoven   +13 more
semanticscholar   +1 more source

Matrix interpretation of multiple orthogonality [PDF]

, 2010
In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
A Bultheel, A Bultheel, A Bultheel, AI Aptekarev, AI Aptekarev, AJ Durán, Amílcar Branquinho, Ana Foulquié Moreno, B Beckermann, B Beckermann, B Beckermann, D Barrios Rolanía, DW Lee, EM Nikishin, J Arvesú, J Bustamante, J Coussement, J Iseghem Van, K Douak, Luis Cotrim, M Barel Van, MEH Ismail, P Maroni, P Maroni, SK Burley, V Kaliaguine, VN Sorokin, W Assche Van, W Assche Van, WD Evans   +29 more
core   +2 more sources

Some new identities of a type of generalized numbers involving four parameters

AIMS Mathematics, 2022
This article deals with a Horadam type of generalized numbers involving four parameters. These numbers generalize several celebrated numbers in the literature such as the generalized Fibonacci, generalized Lucas, Fibonacci, Lucas, Pell, Pell-Lucas ...
Waleed Mohamed Abd-Elhameed, Amr Kamel Amin, Nasr Anwer Zeyada   +2 more
doaj   +1 more source

Renormalization of QED with planar binary trees [PDF]

, 2000
The renormalized photon and electron propagators are expanded over planar binary trees. Explicit recurrence solutions are given for the terms of these expansions.
Brouder, Christian, Frabetti, Alessandra
core   +2 more sources

Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials

AIMS Mathematics, 2022
The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-
Rabab Alyusof , Mdi Begum Jeelani
doaj   +1 more source