Umbral calculus in positive characteristic
Copyright policy )Umbral calculus in positive characteristic
An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. Orthonormal bases in the space of continuous $\mathbb F_q$-linear functions are constructed.
18 pages, LaTeX-2e
- National Academy of Sciences of Ukraine
- Polish Academy of Sciences Poland
- Institute of Mathematics Czech Republic
- National Academy of Sciences of Ukraine Ukraine
- Institute of Mathematics Belarus
Mathematics - Number Theory, 46S10, 05A40, Applied Mathematics, Orthonormal basis, 05A40; 11G09; 11S80; 46S10, \(\mathbb F_q\)-linear function, FOS: Mathematics, Fq-linear function, Mathematics - Combinatorics, Basic sequence, Umbral calculus, 11S80, Number Theory (math.NT), Combinatorics (math.CO), Delta operator, 11G09
Mathematics - Number Theory, 46S10, 05A40, Applied Mathematics, Orthonormal basis, 05A40; 11G09; 11S80; 46S10, \(\mathbb F_q\)-linear function, FOS: Mathematics, Fq-linear function, Mathematics - Combinatorics, Basic sequence, Umbral calculus, 11S80, Number Theory (math.NT), Combinatorics (math.CO), Delta operator, 11G09
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