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

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dc.contributor.authorKılar, Neslihan
dc.date.accessioned2024-11-07T13:19:27Z
dc.date.available2024-11-07T13:19:27Z
dc.date.issued2024
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThis 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.
dc.identifier.doi10.54287/gujsa.1546375
dc.identifier.endpage545
dc.identifier.issn2147-9542
dc.identifier.issue3
dc.identifier.startpage535
dc.identifier.trdizinid1267805
dc.identifier.urihttps://doi.org/10.54287/gujsa.1546375
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1267805
dc.identifier.urihttps://hdl.handle.net/11480/13135
dc.identifier.volume11
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofGazi University Journal of Science Part A: Engineering and Innovation
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241107
dc.subjectGenerating Functions
dc.subjectHermite-Based Milne-Thomson Type Polynomials
dc.subjectStirling Type Polynomials and Numbers
dc.subjectTrigonometric Functions
dc.titleFurther Results for Hermite-Based Milne-Thomson Type Fubini Polynomials with Trigonometric Functions
dc.typeArticle

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