[PDF] Top 20 Some results for the q Bernoulli, q Euler numbers and polynomials
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Some results for the q Bernoulli, q Euler numbers and polynomials
... 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
16
Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... (p, q)-extensions of Carlitz’s result ...(p, q)-Frobenius-Euler polynomials of order α and Apostol type (p, q)-Bernoulli ...with some special cases for the results ... See full document
14
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
10
Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials
... Carlitz’s q-Bernoulli numbers and q-Bernoulli ...establish some symmetric identities for these numbers and polynomials, by virtue of which, various known ... See full document
10
On a class of q Bernoulli and q Euler polynomials
... the q-Bernoulli and q-Euler polynomials In this section we investigate some explicit relationships between the q-Bernoulli and q-Euler ...Here ... See full document
11
A note on Carlitz q Bernoulli numbers and polynomials
... Carlitz q-Bernoulli polynomials in the p-adic case by means of a method provided by ...Carlitz q-Bernoulli polynomials. We shall provide some basic formulas for the ... See full document
10
A note on type 2 q Bernoulli and type 2 q Euler polynomials
... odd q-integers can be expressed by means of type 2 q-Bernoulli ...odd q-integers can be represented by virtue of type 2 q-Euler ...2 q-Bernoulli polynomials ... See full document
10
Some identities on the twisted q Bernoulli numbers and polynomials with weight α
... By using the p-adic q-integral on Zp , we give some identities and relations on the twisted q-Bernoulli numbers and polynomials with weight α.... Jang Journal of Inequalities and Applica[r] ... See full document
8
Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials
... 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
8
Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... Moreover, it is possible to create a new mathematical ideas and analyze them in ways that generally are not possible by hand. The authors have no doubt that investigation along this line will lead to a new approach ... See full document
15
A Note on Hölder Type Inequality for the Fermionic Adic Invariant Integral
... Sug, “Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Rim, “New q-Euler numbers and polynomia[r] ... See full document
5
On modified degenerate Carlitz q Bernoulli numbers and polynomials
... examine some of the identities and properties that are related to the degenerate Carlitz q-Bernoulli numbers and ...degenerate q-Bernoulli numbers and ...investigate ... See full document
9
ON p-ADIC INTEGRAL REPRESENTATION OFq -BERNOULLI NUMBERS ARISING FROM TWO VARIABLE q-BERNSTEIN POLYNOMIALS
... In this paper, we study the p-adic integral representation on Z p of q-Bernoulli numbers arising from two variable q-Bernstein polynomials and investigate some properties for the q-Berno[r] ... See full document
11
Some identities on the higher order twisted q Euler numbers and polynomials with weight α
... of some families of higher- order-twisted q-Euler numbers and polynomials with weight a ...higher-order-twisted q-Euler numbers and polynomials with weight a ... See full document
10
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... Genocchi numbers, the most common thing comes to our mind is to research the relations between Genocchi numbers, Bernoulli numbers [14–16] and Euler numbers [14, ...Genocchi ... See full document
7
On a q analog of some numbers and polynomials
... new q-analogs of the Changhee numbers and polynomials of the first kind and of the second ...derive some new interesting identities related to the Stirling numbers of the first kind and ... See full document
9
A note on the (h,q) zeta type function with weight α
... weighted q-Bernstein polynomials and derived novel proper- ties of q-Bernoulli numbers with weight α by using the symmetric property of weighted q-Bernstein polynomials ... See full document
6
Unified (p, q) -analog of Apostol type polynomials of order a
... (p; q)-analog of Apostol type polynomials of order including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order ...derive some useful identities. We also ... See full document
10
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... of q-Hermite- Fubini numbers and polynomials by combining the q-Hermite polynomials and q- Fubini ...these numbers and polynomi- als, we derive some alternative ... See full document
10
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... h, q-extension of Euler polynomials and numbers, see 14, ...new q-extension of Euler numbers and polynomials to be different which is treated by Ozden et ...our ... See full document
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