q)-Euler polynomials
Degenerate q Euler polynomials
... Degenerate q Euler polynomials Kim et al Advances in Difference Equations (2015) 2015 246 DOI 10 1186/s13662 015 0563 y R E S E A R C H Open Access Degenerate q Euler polynomials Taekyun Kim1*, Dae Sa[.] ...
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Identities of Symmetry for q Euler Polynomials
... to q-Euler polynomials and the q -analogue of alternating power ...the q -Euler polynomials and the quotient of integrals that can be expressed as the exponential ...
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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[.] ...
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Extended q Dedekind type Daehee Changhee sums associated with extended q Euler polynomials
... p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler polynomials) which is derived from a ...
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Some identities of q Euler polynomials arising from q umbral calculus
... weighted q-Euler polynomials and higher-order q-Euler polynomials from the applications of umbral calculus (see (Araci et ...of q-umbral calculus due to Roman, and we ...
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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 and type 2 ...
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A note on the Barnes type q Euler polynomials
... of q-Euler polynomials and obtained many results which are interesting in number theory and ...the q-Euler polynomials and a q-analog of alternating power ...p-adic ...
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On a class of generalized q Bernoulli and q Euler polynomials
... generalized q-Bernoulli and q-Euler polynomials to obtain the main results of this paper in the next ...a q-analogue of the addition theorem for the classical Bernoulli and Euler ...
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On a class of q Bernoulli and q Euler polynomials
... defined q-Bernoulli and q-Euler ...that q-Bernoulli and q-Euler polynomials in our definitions are polynomials of x and y, and when y = , they are polyno- mials of ...
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Quadratic symmetry of modified q Euler polynomials
... 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, ...
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On the modified q Euler polynomials with weight
... 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 and ...
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Some identities of special q polynomials
... In view of ., we define the higher-order q-Euler polynomials which are given by the generating function to be... Dolgy et al.[r] ...
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Bernoulli Basis and the Product of Several Bernoulli Polynomials
... Kim, “Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Simsek, “[r] ...
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Search | Preprints
... (p, q)-analogue type of Fubini numbers and polynomials and give some properties of these numbers and ...(p, q)-analogue type of Fubini numbers and ...(p, q)-Fubini polynomials ...
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Note on the Extension of Barnes' Type Multiple Euler Polynomials
... the q-Euler numbers and polynomials of higher order, which are related to Barnes’ type multiple Euler numbers and ...our q-Euler polynomials of higher ...these ...
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Download PDF
... for q-Hermite-Fubini numbers and polynomials and give some properties of these numbers and ...of q- Hermite-Fubini numbers and polynomials and some relationships between q-Bernoulli ...
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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 ...the Euler polynomials of higher order and the q-analogs of Euler polynomials by ...
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Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... h, q- extension of Euler polynomials and ...new q-extension of Eu- ler numbers and polynomials to be different which is treated by Ozden et ...our q-Euler num- bers and ...
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Higher-order Euler-type polynomials and their applications
... higher-order Euler-type polynomials and ...and Euler-type polynomials and ...higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke ...these ...
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Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... q ≤ 9/10 and −5 ≤ x ≤ 5, with the zero contour indicated in black Figure 5. In Figure 5 top- left, we choose n 1, w 2, and a 2. In Figure 5 top-right, we choose n 2, w 2, and a 2. In Figure 5 bottom-left, we ...
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