On discrete orthogonal U-Bernoulli Korobov-type polynomials

被引：0

作者：

Ramirez, William ^{[1
,2
]}

Alejandro, Urieles ^{[3
]}

Cesarano, Clemente ^{[2
]}

机构：

[1] Univ Costa, Dept Nat & Exact Sci, Calle 58,55-66, Barranquilla 080002, Colombia

[2] UniNettuno Univ, Sect Math, Corso Vittorio Emanuele II,39, I-00186 Rome, Italy

[3] Univ Atlantico, Programa Matemat, Km 7 Via Pto Colombia, Barranquilla, Colombia

来源：

CONSTRUCTIVE MATHEMATICAL ANALYSIS | 2024年 / 7卷

关键词：

Bernoulli polynomials; U-Bernoulli Korobov; discrete orthogonal polynomials;

D O I：

10.33205/cma.1502670

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The primary objective of this paper is to introduce and examine the new class of discrete orthogonal polynomials called U-Bernoulli Korobov-type polynomials. Furthermore, we derive essential recurrence relations and explicit representations for this polynomial class. Most of the results are proven through the utilization of generating function methods. Lastly, we place particular emphasis on investigating the orthogonality relation associated with these polynomials.

引用

页码：1 / 10

页数：10

共 17 条

[11] 2 NOTES ON NOTATION [J].

KNUTH, DE .

AMERICAN MATHEMATICAL MONTHLY, 1992, 99 (05) :403-422

[12] The disconnectedness of certain sets defined after uni-variate polynomials [J].

Kostov, Vladimir Petrov .

CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2022, 5 (03) :119-133

[13]

MEIXNER J, 1934, J LOND MATH SOC, V9, P6

[14]

Pastor J. Rey, 1929, Bol. Semin. Mat. Argent., V1, P1

[15]

Quintana Y., 2020, Appl. Math. Inf. Sci., V14, P583, DOI 10.18576/amis/140407

[16] New U-Bernoulli, U-Euler and U-Genocchi polynomials and their matrices [J].

Ramfrez, W. ;

Bedoya, D. ;

Urieles, A. ;

Cesarano, C. ;

Ortega, M. .

CARPATHIAN MATHEMATICAL PUBLICATIONS, 2023, 15 (02) :449-467

[17]

Zagorodnyuk S., 2020, Constr. Math. Anal., V3, P75

← 1 2 →