The purpose of this paper is to present a lot of formulas for the r-parametric Hermite-based Milne-Thomson type polynomials. By applying functional equation method of generating functions, we also present a lot of relations and integral formulas incorporated the Fubini type polynomials, the r-parametric Hermite-based cosine-and sine-Milne-Thomson type Fubini polynomials, Gould-Hopper polynomials, and other special polynomials. Furthermore, we show that the special values of these results reduce to connections to previously known results.
Keywords: Fubini type numbers and polynomials, Gould-Hopper polynomials, Hermite-based Milne-Thomson type polynomials, Trigonometric functions, Generating functions.
Fubini type numbers and polynomials Gould-Hopper polynomials Hermite-based Milne-Thomson type polynomials Trigonometric functions Generating functions
Department of Computer Technologies, Bor Vocational School, Niğde Ömer Halisdemir University, TR-51700, Niğde, Türkiye
2024-1
Primary Language | English |
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Subjects | Computational Statistics |
Journal Section | Research Articles |
Authors | |
Project Number | 2024-1 |
Publication Date | January 1, 2025 |
Submission Date | December 9, 2024 |
Acceptance Date | December 30, 2024 |
Published in Issue | Year 2024 Volume: 1 Issue: 1 |