This paper seeks to extend the unidimensional notion of Lorenz dominance to the multidimensional context. It formulates a definition of a multidimensional Lorenz dominance relation (MLDR) on the set of alternative distributions of well-being in an economy by incorporating generalizations of the well-known Pigou-Dalton condition of unidimensional theory. Besides the definitional requirements, an...

The criterion of irreducibility of multi–loop Feynman integrals. Abstract The integration by parts recurrence relations allow to reduce some Feynman inte-grals to more simple ones (with some lines missing). Nevertheless the possibility of such reduction for the given particular integral was unclear. The recently proposed technique for studying the recurrence relations as by-product provides wit...

On the energy manifolds of fourth order conservative systems closed characteristics can be found inmany cases via analogues of Twist-maps. The ‘Twist property’ implies the existence of a generating function which leads to second order recurrence relations. We study these recurrence relations to find simple closed characteristics andwe give conditionswhen fourth order systems satisfy the ‘Twist ...

Abstract Probabilistic recurrence relations (PRRs) are a standard formalism for describing the runtime of randomized algorithm. Given PRR and time limit $$\kappa $$ κ , we consider tail probability $$\Pr [T \ge \kappa ]$$ Pr [ T ≥ ...

In this paper we solve several recurrence relations with two (three) indices using combinatorial methods. Moreover, we present several recurrence relations with two (three) indices related to ternary paths and k-ary paths. © 2007 Elsevier B.V. All rights reserved. MSC: 10A35; 65Q05; 05.10

Using the Padé approximation of the exponential function, we obtain a general recurrence relation for values of the zeta function which contains, as particular cases, many of relations already proved. Applications to Bernoulli polynomials are given. At last, we derive some new recurrence relations with gap of length 4 for zeta numbers. MSC: 11B68 41A21

In this paper we give some recurrence relations satisfied by single and product moments of generalized order statistics from doubly truncated generalized exponential distribution. These relations are deduced for moments of record values and order statistics. Further, using a recurrence relation for single moments we obtain a characterization of generalized exponential distribution.