The present paper deals with Bernstein polynomials and Frobenius-Euler numbers and
polynomials. We apply the method of generating function and fermionic p-adic integral …

In recent years, using the idea of analytic and bi-univalent functions, many ideas have been
developed by different well-known authors, but the using Gegenbauer polynomials along …

The purpose of this paper is to construct some new non-linear differential equations and
investigate the solutions of these non-linear differential equations. In addition, we give some …

In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler
polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting …

Umbral calculus and Sheffer sequences of polynomials | Journal of Mathematical Physics |
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Some identities involving Gegenbauer polynomials | Advances in Continuous and Discrete
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In this paper, we investigate some properties of q-Bernoulli polynomials arising from q-
umbral calculus. We find a formula for expressing any polynomial as a linear combination of …

Let ℙ n be the space of polynomials of degree less than or equal to n. In this article, using
the Bernoulli basis {B 0 (x),..., B n (x)} for ℙ n consisting of Bernoulli polynomials, we …

The purpose of this paper is to present a systematic study of some families of higher order
Euler numbers and polynomials. In particular, by using the basis property of higher order …

Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler
Polynomials Page 1 Research Article Some New Formulae for Genocchi Numbers and …