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4 papers · 2 filters
Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus
Serkan Araci, Mehmet Acikgoz, Erdoğan Şen
The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Zp. From those applications, we derive some new interes…
A New Approach to Multivariate q-Euler polynomials by using Umbral calculus
Serkan Araci, Xiangxing Kong, Mehmet Acikgoz +1
In this work, we derive numerous identities for multivariate q-Euler polynomials by using umbral calculus.
Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials
Serkan Araci, Mehmet Acikgoz, Erdoğan Şen
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for…
A new approach to modified q-Bernstein polynomials for functions of two variables with their generating and interpolation functions
Mehmet Acikgoz, Serkan Araci
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions of two variables. By using these type polynomials, we derive recurrence formulas a…