A differentiation and divided difference formula for rational functions (Ռացիոնալ ֆունկցիաների համար դիֆերենցման և բաժանված տարբերության մի բանաձև )

Abstract

In this paper a new differentiation and divided difference formula for rational functions is proved. The main result is a connection between divided differences of two rational functions with the same numerator, where the knots of one divided difference coincide with the zeros of the denominator of another rational function.