Series with general exponents

Details Series with general exponents Series with general exponents

1995-02-09

arxiv.org/abs/math/9502216v1

Mathematics

Combinatorics

Scientific paper

We define the Artinian and Noetherian algebra which consist of formal series involving exponents which are not necessarily integers. All of the usual operations are defined here and characterized. As an application, we compute the algebra of symmetric functions with nonnegative real exponents. The applications to logarithmic series and the Umbral calculus are deferred to another paper. On d\'efinit ici les alg\`ebres Artinienne et Noetherienne comme \'etant des alg\`ebres constitu\'ees des s\'eries formelles \`a exposants pas n\'ecessairement entiers. On definit sur ces alg\`ebres toutes les op\'erations classiques et on les caracterise. Comme exemple d'exploitation de cette th\'eorie, on s'interesse \`a alg\`ebre de fonctions sym\'etriques à exponsants r\`eels en nonn\'egatifs. Une autre publication est consacr\'ee aux applications aux series logarithmiques et au calcul ombral.

Affiliated with

Also associated with

No associations

Rating

Series with general exponents does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Series with general exponents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Series with general exponents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390967