Sentence examples for between these polynomials and from inspiring English sources

We also give some relationships both between these polynomials and tangent polynomials and between these polynomials and q-cauchy numbers.

We obtain some symmetry identities between these polynomials and the generalized sum of integer powers.

We state some properties for these polynomials and obtain some relationships between the polynomials and Apostol-Bernoulli polynomials, Stirling numbers of the second kind, Jacobi polynomials, Laguerre polynomials, Hermite polynomials and generalized Bernoulli polynomials.

In conclusion, we will obtain some connections between these new polynomials and Bernoulli polynomials, Euler polynomials, Daehee numbers and Bernoulli numbers of the second kind.

In this article, we give some identities for the q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi polynomials and recurrence relations between these polynomials in (Mahmudov in Discrete Dyn. Nat. Soc. 2012 169348, 2012; Mahmudov in Adv. Differ. Equ. 2013:1, 2013).

Furthermore, we investigate the relation between these numbers and polynomials and Stirling, Nörlund, and Bernoulli numbers of higher-order.

Furthermore, we investigated the relations between these numbers and polynomials and Stirling numbers, Nörlund numbers, and Bernoulli numbers of higher-order.

Also, we establish a connection between our polynomials and several known families of polynomials.

In [1], Varma and Taşdelen constituted a link between orthogonal polynomials and positive linear operators.

We discuss new concept of the -extension of Genocchi numbers and give some relations between -Genocchi polynomials and -Euler numbers.

Kim [3] gave new concept of the -extension of Genocchi numbers and gave some relations between -Genocchi polynomials and -Euler numbers.