Mathematics

Polynomial systems of binomial type and the mean value theorem

A. Kh. Ghiyasi, V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In this paper, a description of sequences of polynomials of binomial type is given and new mean-value theorems are proved.

Key words: complete powers, upper and lower factorials, Abel's and Lagerre's polynomials, exponential polynomials, mean-value theorems.

UDC: 511

Received: 03.04.2024

DOI: 10.55959/MSU0579-9368-1-65-5-4

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:5, 244–256

Bibliographic databases:

•