[PDF] Top 20 On a class of generalized q Bernoulli and q Euler polynomials

... classical Bernoulli and Euler numbers and polynomials, in- troducing them as q-Bernoulli and q-Euler numbers and polynomials ... See full document

... classical Bernoulli and Euler numbers and poly- nomials and introduced the q-Bernoulli and the q-Euler numbers and polynomials (see [, ] and ... See full document

... new class of (p, q)-analogue type of Fubini numbers and polynomials and investigate some properties of these ...these polynomials by summation techniques ...(p, q)-Fubini ... See full document

... new class of q-Hermite- Fubini numbers and polynomials by combining the q-Hermite polynomials and q- Fubini ...consecutive q-integers. Also, we establish some ... See full document

... p-adic q-integral to define the special ...p-adic q-integral (see [2]). The p-adic q-integral provides fruitful and essential results in studying special polynomials such as Bernoulli, ... See full document

... of Bernoulli and Euler numbers and polynomials In this section, we will restate definitions of (generalized) Bernoulli numbers, (generalized) Bernoulli polynomials, ... See full document

... the q-Euler polynomi- als of higher order and gave some interesting identities involving these ...of q-Bernoulli, q-Euler, and Bernstein polynomials (see [–, , , ... See full document

... Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials Jang et al Advances in Difference Equations (2015) 2015 162 DOI 10 1186/s13662 015[.] ... See full document

... (p; q)-analog of Apostol type polynomials of order ...the generalized (p; q)-Stirling numbers of the second kind of order v, a correlation between these numbers and uni…ed (p; q)-analog ... See full document

... to q-Bernoulli polynomials and the q-analogue of power sums, identities of symmetry in three variables were also obtained in [3] as an extension of identities of symmetry in two variables in ... See full document

... the q-Bernoulli, q-Euler polynomials and related topics (see ...the q-Ber- noulli polynomials and the q-Bernstein polynomials and show some ...the ... See full document

... multiple q-Bernoulli numbers and polynomials mainly because of their interest and ...and polynomials are used not only in complex analysis and mathematical physics, but also in p-adic analysis ... See full document

... two-variable q-L-function that is a q- analog of the two-variable ...variable q-L-functions at nonpositive integers and study their properties when q tends to ...2. Generalized Carlitz ... See full document

... of generalized Apostol-Bernoulli and Apostol-Euler poly- nomials introduced lately by Srivastava et ...the generalized alternating sum and the analogues of the expansions of the hyperbolic ... See full document

... introduced q-analogues of the Bernoulli numbers and ...on q-analogue of the Bernoulli, Euler numbers, and polynomials can be found in Choi et ... See full document

... (the generalized) derivative polynomials, explicit formulas for the Bernoulli numbers and polynomials, for the Euler numbers and polynomials, for higher derivatives of some ... See full document

... 30, q 1/10, w 2, and a 2. In Figure 2 top- right, we choose n 30, q 3/10, w 2, and a ...30, q 7/10, w 2, and a 2. In Figure 2 bottom-right, we choose n 30, q 9/10, w 2 and a ... See full document

... order q-Euler and q-Genocchi ...the q-extension of the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta functions see ...the q-extension of Genocchi ... See full document

... the q- analogues of Faulhaber’s well-known formula expressing the power sums in terms of Bernoulli ...odd q-integers can be expressed by means of type 2 q-Bernoulli ...odd ... See full document

... the q -Bernoulli numbers and q - Bernoulli polynomials given by Acikgöz et ...the q -Bernoulli numbers and polynomials is ...the q -Bernoulli numbers ... See full document