✦ LIBER ✦

An umbral calculus over inifinite coefficient fields of positive characteristic

✍ Scribed by L. Ferrari

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 715 KB
Volume: 41
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00084-0

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✦ Synopsis

A variation of the classical theory of finite operator calculus is discussed, in which we work in an infinite field of characteristic p # 0. The results we have established resemble those of [l]; a new class of operators, characteristic operators, is introduced as the "right concept" to work with in the new theory.

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✍ Habib Sharif 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 158 KB

A function or a power series f is called differentially algebraic if it satisfies a Ž X Ž n. . differential equation of the form P x, y, y , . . . , y s 0, where P is a nontrivial polynomial. This notion is usually defined only over fields of characteristic zero and is not so significant over fields