A more rigorous derivation for the generalized block pulse operational matrices is proposed in this paper. The Riemann-Liouville fractional integral for repeated fractional (and operational) integration is integrated exactly, then expanded in block pulsefunctions to yield the generalized block pulse
On the theory of the operational calculus for the Bessel equation
β Scribed by V.A. Ditkin; A.P. Prudnikov
- Publisher
- Elsevier Science
- Year
- 1963
- Weight
- 908 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0041-5553
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A general expression for the operational matrix of integration P for the case of Bessel functions is derived. Using this P, several problems such as identiJication, analysis and optimal control may be studied. Examples are included to illustrate the theoretical results.
Let # be the Gauss measure on R d and L the Ornstein Uhlenbeck operator, which is self adjoint in L 2 (#). For every p in (1, ), p{2, set , p \*=arc sin |2Γp&1| and consider the sector The main result of this paper is that if M is a bounded holomorphic function on S ,\* p whose boundary values on S