Fully degenerate poly-Bernoulli numbers and polynomials

• Autorzy: Taekyun Kim , Dae San Kim , Jong-Jin Seo
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.

Słowa kluczowe

EN

Fully degenerate poly-Bernoulli polynomial; Fully degenerate poly-Bernoulli number; Umbral calculus

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 05A19: Combinatorial identities, bijective combinatorics
• 05A40: Umbral calculus
• 11B83: Special sequences and polynomials

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 545-556

Daty

wydano

2016-01-01

otrzymano

2015-05-26

zaakceptowano

2016-06-29

online

2016-07-26

Twórcy

autor

Taekyun Kim

• Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China and Department of Mathematics, Kwangwoon University, Seoul 139-701,

autor

Dae San Kim

• Department of Mathematics, Sogang University, Seoul 121-742,

autor

Jong-Jin Seo

• Department of Applied Mathematics, Pukyong Natioanl University, Pusan,

Identyfikatory

DOI

10.1515/math-2016-0048