KARAKTERISASI SEBARAN CAUCHY

Cauchy ’ s theorem , Cauchy ’ s formula , corollaries Paul

On the Cauchy Completeness of the Constructive Cauchy Reals

Intuitionistic set theory without choice axioms does not prove that every Cauchy sequence of rationals has a modulus of convergence, or that the set of Cauchy sequences of rationals is Cauchy complete. Several other related non-provability results are also shown.

The Cauchy - Dirichlet

K e y w o r d s P a r a b o l i c equations, Cauchy-Dirichlet problem. 1. I N T R O D U C T I O N Let Z; be a l inear parabol ic opera to r of the form, x lx j i,j=l i=1 ! ! ] ~n -F1 . w h e r e x = (xt , t) ---( x l , x 2 , . . . ,X/n,t) C Let f~ C ]R ~ be a bounded C 1,1 domain and QT, the cylinder ft × (0, T) . Aim of this note is to s tudy the Cauchy-Dir ichle t problem, Z:u = f , a.e. x C ...

Poly-Cauchy polynomials

We introduce the poly-Cauchy polynomials which generalize the classical Cauchy polynomials, and investigate their arithmetical and combinatorial properties. These polynomials are considered as analogues of the poly-Bernoulli polynomials that generalize the classical Bernoulli polynomials. Moreover, we investigate the zeta functions which interpolate the poly-Cauchy polynomials. The values of th...

Cauchy biorthogonal polynomials

The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite–Padé approximation scheme. Associated with any totally positive kernel and a pair of positive measures on the positive axis we define biorthogonal polynomials and prove that their zeros are simple and positive. We then specialize the kernel to the Cauchy kernel 1 x+y and show t...