recurrence relation
1.Let a be a positive integer, and let be a sequence satisfying the recurrence relation u0=1, u1=a, Um+2=aum+1+um for m≥0. Further let the function.
2.Starting from given initial phase values or adjacent unwrapped phase, thephase estimation values are sequentially obtained by the recurrence relation. Then by the measure of confidenceof the phase estimation valuse, the unwrapping phase values of high reliability can be obtained.
3.This paper establishes a recurrence relation of Euler polynomials of higher order,gives some identities containing generalized Fibonacci,Lucas sequences and Euler polynomials of higher order,extends the results of L. Toscano and P.F. Byrd.
4.By setting up a bijection between the problem of putting brackets in the product of n elements X 1,X 2,…,X n in a non associative algebra and that of edges contraction of the path X 1X 2…X n ,a new recurrence relation related to the catalan number is obtained.
5.The tangent of phase of phase shift function δ l(r) is expressed as a power series in wave vector k, and then substituted into the linear F. Calogero equation to get the recurrence relation of the coefficients. The phase shift and scattering length of the spherical square potential well and Yukawa potential scattering for low energy collisions were calculated, which were also compared with the numerical solutions of the different equations.
6.Objective To discuss the relation and prevention of local recurrence postresection by Dixon in patients with rectal cencer.
7.62 patients with atrioventricular nodal reentrant tachycardia (AVNRT) were treated with slow atrioventricular (AV) nodal pathway ablation in order to evaluate the effect of endpoint type A (no slow pathway conduction and no induclable AVNRT), B(residual slow pathway conduction but no induciable AVNRT and AVN echo) and C(residual slow pathway conduction and 1 to 3 AVN echo but no induciable AVNRT) on AV conduction and their relation with AVNRT recurrence.

