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- TÜBİTAK National ObservatoryTR50 papers
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11 papers · 1 filter
On The Hermite Based-Second Kind Genocchi Polynomials
Burak Kurt, Yilmaz Simsek
The aim of this paper is to study generating function of the Hermite-Kampė de Fėriet based second kind Genocchi polynomials. We also give some identities related to these polynomia…
Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications
Yilmaz Simsek
The first aim of this paper is to construct new generating functions for the generalized λ-Stirling type numbers of the second kind, generalized array type polynomials and generali…
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
Yilmaz Simsek
The main aim of this paper is to provide a novel approach to deriving identities for the Bernstein polynomials using functional equations. We derive various functional equations an…
Noether gauge symmetry for gravity in Palatini formalism
Y. Kucukakca, U. Camci
In this study, we consider a flat Friedmann-Robertson-Walker (FRW) universe in the context of Palatini theory of gravity. Using the dynamical equivalence between grav…
Unification of the three families of generalized Apostol type polynomials on the Umbral algebra
Rahime Dere, Yilmaz Simsek
The aim of this paper is to investigate and introduce some new identities related to the unification and generalization of the three families of generalized Apostol type polynomial…
Bernoulli type polynomials on Umbral Algebra
Rahime Dere, Yilmaz Simsek
The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite pol…