@**inproceedings**{RISC4025,author = {Georg Regensburger and Markus Rosenkranz and Johannes Middeke},

title = {{A skew polynomial approach to integro-differential operators}},

booktitle = {{Proceedings of ISSAC 2009}},

language = {english},

abstract = {We construct the algebra of integro-differential operators over an
ordinary integro-differential algebra directly in terms of normal
forms. In the case of polynomial coefficients, we use skew
polynomials for defining the integro-differential Weyl algebra as a
natural extension of the classical Weyl algebra in one variable. Its
normal forms, algebraic properties and its relation to the
localization of differential operators are studied. Fixing the
integration constant, we regain the integro-differential operators
with polynomial coefficients.
},

pages = {287--294},

publisher = {ACM},

isbn_issn = {978-1-60558-609-0},

year = {2009},

editor = {Jeremy R. Johnson and Hyungju Park and Erich Kaltofen},

refereed = {yes},

length = {8},

conferencename = {Symbolic and Algebraic Computation, International Symposium, ISSAC 2009},

url = {http://issac2009.kias.re.kr/}

}