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RELATIONS AND INTEGRATION OF HERMITE-BASED MILNE-THOMSON AND FUBINI TYPE POLYNOMIALS

Year 2024, Volume: 1 Issue: 1, 1 - 7, 01.01.2025

Abstract

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.

Supporting Institution

Department of Computer Technologies, Bor Vocational School, Niğde Ömer Halisdemir University, TR-51700, Niğde, Türkiye

Project Number

2024-1

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Details

Primary Language English
Subjects Computational Statistics
Journal Section Research Articles
Authors

Neslihan Kılar This is me

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

Cite

EndNote Kılar N (January 1, 2025) RELATIONS AND INTEGRATION OF HERMITE-BASED MILNE-THOMSON AND FUBINI TYPE POLYNOMIALS. Akdeniz University Journal of Science and Engineering 1 1 1–7.