On arithmetical properties of degenerate Cauchy polynomials and numbers

Mehmet Cenkci; Takao Komatsu

Article Details

On arithmetical properties of degenerate Cauchy polynomials and numbers

Authors:

Mehmet Cenkci | Takao Komatsu

Publisher:

Hacettepe University

Main Topics:

Algebra and Number Theory | Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 2, pp.457-469

Document Type:

Article

Publication Date:

4/2025

Document Language:

English

Document ID (Org No.):

2001346354

pISSN:

2651-477X

Keywords:

Abstract:

 In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers. We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities. These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.

 In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers. We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities. These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.

 In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers. We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities. These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.

 In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers. We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities. These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.

Article Details

On arithmetical properties of degenerate Cauchy polynomials and numbers

Authors:

Mehmet Cenkci | Takao Komatsu

Publisher:

Hacettepe University

Main Topics:

Algebra and Number Theory | Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 2, pp.457-469

Document Type:

Article

Publication Date:

4/2025

Document Language:

English

Document ID (Org No.):

2001346354

pISSN:

2651-477X

degenerate Cauchy polynomials

degenerate Cauchy numbers

recurrences

convolutions

congruences

Issues

Article Details

On arithmetical properties of degenerate Cauchy polynomials and numbers

Authors: Mehmet Cenkci | Takao Komatsu

Publisher: Hacettepe University

Main Topics: Algebra and Number Theory | Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)

Journal: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 2, pp.457-469

Document Type: Article

Publication Date: 4/2025

Document Language: English

Document ID (Org No.): 2001346354

pISSN: 2651-477X

degenerate Cauchy polynomials

degenerate Cauchy numbers

recurrences

convolutions

congruences

Issues

Authors:

Mehmet Cenkci | Takao Komatsu

Publisher:

Hacettepe University

Main Topics:

Algebra and Number Theory | Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 2, pp.457-469

Document Type:

Article

Publication Date:

4/2025

Document Language:

English

Document ID (Org No.):

2001346354

pISSN:

2651-477X