Results 21 to 30 of about 172,105 (276)
Equivalence of Recurrence Relations for Feynman Integrals with the Same Total Number of External and Loop Momenta [PDF]
We show that the problem of solving recurrence relations for L-loop (R+1)-point Feynman integrals within the method of integration by parts is equivalent to the corresponding problem for (L+R)-loop vacuum or (L+R-1)-loop propagator-type integrals.
Baikov +7 more
core +2 more sources
Recurrence relations and Benford’s law [PDF]
Version 1.0, 24 pages, 1 ...
Madeleine Farris +4 more
openaire +3 more sources
Relativistic Kramers-Pasternack Recurrence Relations
Recently we have evaluated the matrix elements $$,$ where $O$ $={1,\beta, i\mathbf{\alpha n}\beta} $ are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, in terms of ...
Andrae D +42 more
core +1 more source
On the F.Smarandache LCM Ratio Sequence [PDF]
In this paper, we use the elementary methods to study the F.Smarandache LCM ratio sequence, and obtain three interesting recurrence relations for ...
Rong, Ma
core +1 more source
Recurrence Relations for Wronskian Hermite Polynomials
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term ...
Bonneux, Niels, Stevens, Marco
core +1 more source
On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions
In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
doaj +1 more source
Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions
We consider the system of functions λ α r,n (x) (r ∈ N, n = 0, 1, 2, . . .), orthonormal respect to the Sobolev-type inner product f, g = Σ r-1 ν=0 f (υ) (0) g (υ) (0)+ I ∞ 0 f (r) (x) g (r) (x) dx and generated by the orthonormal Laguerre functions. The
Gadzhimirzaev R. M.
doaj +1 more source
Translational cancer research and its implementation through competitively selected Comprehensive Cancer Centers across Europe should be the primary policy focus for addressing the increasing cancer burden in Europe and counteract the present main strategy to convert cancer to a chronic disease.
Manuel Heitor +2 more
wiley +1 more source
Recurrence relations for higher moments of order statistics from doubly truncated Burr distribution
In this paper, we have obtained recurrence relations for higher moments of order statistics from doubly truncated Burr distribution, which enable one to obtain all the single, double (product) and higher moments of any order of all order statistics for ...
Narinder Pushkarna +2 more
doaj +1 more source
QED amplitudes: recurrence relations to all orders
We describe the origins of recurrence relations between field theory amplitudes in terms of the construction of Feynman diagrams. In application we derive recurrence relations for the amplitudes of QED which hold to all loop orders and for all ...
Anton Ilderton +10 more
core +1 more source

