Add to ORKGWe discuss (1) the construction of recurrence formulas for several types of indefinite and definite integral, (2) the conversion of some of the recurrence schemes to general closed formulas, (3) the mechanization of these processes, (4) “vectorized ” recurrence, (5) “telescoped ” recurrence, (6) the outperformance of present automatic integration software by the procedures that use our formulas, and (7) the interface between symbolic computation (computer algebra) and mathematical discourse.
AbstractWe construct fast algorithms for evaluating transforms associated with families of functions...
In this paper, we give а connection between the mathematical notions and using the computer as educa...
The computation of definite integrals presents one with a variety of choices. There are various meth...
AbstractA method is proposed by which elliptic integrals can be integrated symbolically without info...
AbstractWe derive recurrence relationships for the evaluation of two integral transforms which are o...
We derive recurrence relationships for the evaluation of two integral transforms which are of intere...
AbstractA recurrence relation is given for the integral in the title. Formulae which allow easy eval...
This article presents an innovative and efficient approach for computing linear recurrences, offerin...
This paper is intended as an introduction to the theory of symbolic integration. First a review of i...
Application of recurrence relations in mathematics and computer science is very widely used. To solv...
Symbolic integration deals with the evaluation of integrals in closed form. We present an overview o...
We discuss a problem initially thought for the Mathematical Olympiad but which has several interpret...
<p>This paper introduces some algorithms for solving linear relationships, homogeneous and non-homog...
Recurrence relations in mathematics form a very powerful and compact way of looking at a wide range ...
AbstractA recurrence relation is given for the integral in the title. Formulae which allows easy eva...
AbstractWe construct fast algorithms for evaluating transforms associated with families of functions...
In this paper, we give а connection between the mathematical notions and using the computer as educa...
The computation of definite integrals presents one with a variety of choices. There are various meth...
AbstractA method is proposed by which elliptic integrals can be integrated symbolically without info...
AbstractWe derive recurrence relationships for the evaluation of two integral transforms which are o...
We derive recurrence relationships for the evaluation of two integral transforms which are of intere...
AbstractA recurrence relation is given for the integral in the title. Formulae which allow easy eval...
This article presents an innovative and efficient approach for computing linear recurrences, offerin...
This paper is intended as an introduction to the theory of symbolic integration. First a review of i...
Application of recurrence relations in mathematics and computer science is very widely used. To solv...
Symbolic integration deals with the evaluation of integrals in closed form. We present an overview o...
We discuss a problem initially thought for the Mathematical Olympiad but which has several interpret...
<p>This paper introduces some algorithms for solving linear relationships, homogeneous and non-homog...
Recurrence relations in mathematics form a very powerful and compact way of looking at a wide range ...
AbstractA recurrence relation is given for the integral in the title. Formulae which allows easy eva...
AbstractWe construct fast algorithms for evaluating transforms associated with families of functions...
In this paper, we give а connection between the mathematical notions and using the computer as educa...
The computation of definite integrals presents one with a variety of choices. There are various meth...