Further Results for Hermite-Based Milne-Thomson Type Fubini Polynomials with Trigonometric Functions

Neslihan Kılar

Makale detayları

Further Results for Hermite-Based Milne-Thomson Type Fubini Polynomials with Trigonometric Functions

Yazarlar:

Neslihan Kılar

Yayıncı:

Gazi University

Ana Başlıklar:

Mathematical Methods and Special Functions

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.535-545

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324042

pISSN:

2147-9542

Anahtar kelimeler:

Özet:

 This paper examines generating functions of r-parametric Hermite-based Milne-Thomson polynomials. Using generating function methods, the relationships among these polynomials, Fubini type polynomials, and trigonometric functions are given. Moreover, new formulas are derived by utilizing not only the generating functions of these polynomials but also associated functional equations. These formulas pertain to r-parametric Hermite-based sine-and cosine-Milne-Thomson Fubini polynomials, as well as Stirling type polynomials and numbers. Additionally, by analyzing special cases of newly obtained results, some known formulas are also derived. Furthermore, some identities involving secant and cosecant numbers are derived through the properties of trigonometric functions. Special polynomials and their generating functions are an important tool for solving some problems in many areas such as combinatorics and number theory. By introducing new formulas, this paper significantly enhances these problems-solving abilities in these areas. Consequently, these results have potential to shed light on important applications in mathematics, engineering, and mathematical physics.

 This paper examines generating functions of r-parametric Hermite-based Milne-Thomson polynomials. Using generating function methods, the relationships among these polynomials, Fubini type polynomials, and trigonometric functions are given. Moreover, new formulas are derived by utilizing not only the generating functions of these polynomials but also associated functional equations. These formulas pertain to r-parametric Hermite-based sine-and cosine-Milne-Thomson Fubini polynomials, as well as Stirling type polynomials and numbers. Additionally, by analyzing special cases of newly obtained results, some known formulas are also derived. Furthermore, some identities involving secant and cosecant numbers are derived through the properties of trigonometric functions. Special polynomials and their generating functions are an important tool for solving some problems in many areas such as combinatorics and number theory. By introducing new formulas, this paper significantly enhances these problems-solving abilities in these areas. Consequently, these results have potential to shed light on important applications in mathematics, engineering, and mathematical physics.

 This paper examines generating functions of r-parametric Hermite-based Milne-Thomson polynomials. Using generating function methods, the relationships among these polynomials, Fubini type polynomials, and trigonometric functions are given. Moreover, new formulas are derived by utilizing not only the generating functions of these polynomials but also associated functional equations. These formulas pertain to r-parametric Hermite-based sine-and cosine-Milne-Thomson Fubini polynomials, as well as Stirling type polynomials and numbers. Additionally, by analyzing special cases of newly obtained results, some known formulas are also derived. Furthermore, some identities involving secant and cosecant numbers are derived through the properties of trigonometric functions. Special polynomials and their generating functions are an important tool for solving some problems in many areas such as combinatorics and number theory. By introducing new formulas, this paper significantly enhances these problems-solving abilities in these areas. Consequently, these results have potential to shed light on important applications in mathematics, engineering, and mathematical physics.

 This paper examines generating functions of r-parametric Hermite-based Milne-Thomson polynomials. Using generating function methods, the relationships among these polynomials, Fubini type polynomials, and trigonometric functions are given. Moreover, new formulas are derived by utilizing not only the generating functions of these polynomials but also associated functional equations. These formulas pertain to r-parametric Hermite-based sine-and cosine-Milne-Thomson Fubini polynomials, as well as Stirling type polynomials and numbers. Additionally, by analyzing special cases of newly obtained results, some known formulas are also derived. Furthermore, some identities involving secant and cosecant numbers are derived through the properties of trigonometric functions. Special polynomials and their generating functions are an important tool for solving some problems in many areas such as combinatorics and number theory. By introducing new formulas, this paper significantly enhances these problems-solving abilities in these areas. Consequently, these results have potential to shed light on important applications in mathematics, engineering, and mathematical physics.

Makale detayları

Further Results for Hermite-Based Milne-Thomson Type Fubini Polynomials with Trigonometric Functions

Yazarlar:

Neslihan Kılar

Yayıncı:

Gazi University

Ana Başlıklar:

Mathematical Methods and Special Functions

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.535-545

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324042

pISSN:

2147-9542

Hermite-Based Milne-Thomson Type Polynomials

Stirling Type Polynomials and Numbers

Trigonometric Functions

Generating Functions

Sayı

Makale detayları

Further Results for Hermite-Based Milne-Thomson Type Fubini Polynomials with Trigonometric Functions

Yazarlar: Neslihan Kılar

Yayıncı: Gazi University

Ana Başlıklar: Mathematical Methods and Special Functions

Dergi: Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.535-545

Belge Tipi: Makale

Yayın Tarihi: 9/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001324042

pISSN: 2147-9542

Hermite-Based Milne-Thomson Type Polynomials

Stirling Type Polynomials and Numbers

Trigonometric Functions

Generating Functions

Sayı

Yazarlar:

Neslihan Kılar

Yayıncı:

Gazi University

Ana Başlıklar:

Mathematical Methods and Special Functions

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.535-545

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324042

pISSN:

2147-9542