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UGUR DURAN,SERKAN ARACI,MEHMET ACIKGOZ 장전수학회 2019 Advanced Studies in Contemporary Mathematics Vol.29 No.2
Motivated by the construction of the generating functions of q-Bernoulli polynomials and q-Euler polynomials satisfying with their important results, we de ne a new q-class of the Fubini polynomials. We give some new properties including correlations with the number S2;q (n; k) given in the paper. We also de ne two types q-Fubini polynomials with three parameters and then provide several correlations and identities.
HERMITE BASED POLY-BERNOULLI POLYNOMIALS WITH A q-PARAMETER
UGUR DURAN,MEHMET ACIKGOZ,SERKAN ARACI 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
We introduce the Hermite based poly-Bernoulli polynomi- als with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We also define the Hermite based λ-Stirling polynomi- als of the second kind, and then provide some relations. Moreover, we derive several correlations and identities including the Hermite-Kampe de Feriet (or Gould-Hopper) family of polynomials, the Hermite based poly-Bernoulli polynomials with a q parameter and the Hermite based λ-Stirling polynomials of the second kind.
Novel results for generalized Apostol type polynomials associated with Hermite polynomials
Waseem Ahmad Khan,Kottakkaran Sooppy Nisar,UGUR DURAN,MEHMET ACIKGOZ 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.3
Novel results for generalized Apostol type polynomials associated with Hermite polynomials
A novel kind of Hermite based Frobenius type Eulerian polynomials
Waseem Ahmad Khan,Kottakkaran Sooppy Nisar,MEHMET ACIKGOZ,UGUR DURAN 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.4
After the inspirational innovation of fuzzy set by Zadeh in 1965, Kramosil and Michalek in 1975 pioneered the concept of fuzziness in metric spaces and very rst they formulated the notion of fuzzy met- ric spaces. Jungck introduced the idea of commutativity (in 1976) and compatibility (1986) in metric spaces and same are utilized by Subrah- manyam (in 1995) in fuzzy metric spaces to prove an analogues version of Jungck result. In this paper, we prove common xed point theorems for a pair of self-maps by introducing a new contraction which neither requires completeness of spaces nor continuity and compatible property of maps. An open problem and an example is given to justify the im- portance of our main result.