[PDF] Top 20 On the Identities of Symmetry for the Euler Polynomials of Higher Order
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On the Identities of Symmetry for the Euler Polynomials of Higher Order
... of order k. When k 1, the polynomials or numbers are called the ζ-Euler polynomials or ...of symmetry for the multivariate p-adic fermionic integral on Z p ...of symmetry for the ... See full document
9
Identities of Symmetry for Euler Polynomials Arising from Quotients of Fermionic Integrals Invariant under
... on identities of symmetry involving Bernoulli polynomials or Euler polynomials or q-Bernoulli polynomials or q-Euler ...Bernoulli polynomials and power sums, these ... See full document
16
Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
... the higher-order deformed degenerate Bernoulli and Euler polinomials, and to investigate the symmetric identities of the higher-order deformed degenerate Bernoulli and ... See full document
5
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
Identities of Symmetry for q Euler Polynomials
... basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power ...about identities of symmetry in two ...existing ... See full document
10
On the Identities of Symmetry for the Generalized Bernoulli Polynomials Attached to of Higher Order
... Simsek, “On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers,” Russian Journal of Mathematical Physics, vol.. Kim, “New approach to the complete sum of produ[r] ... See full document
7
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... of Euler polynomials and ...and polynomials to be different which is treated by Ozden et ...and polynomials, we derive some interesting identities and we construct q-Euler zeta ... See full document
9
A Note on Nörlund Type Twisted Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant Integrals
... 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.. Kim, “Not[r] ... See full document
12
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... some identities of symmetry for the twisted Euler polynomials of higher- order, ...the higher-order twisted q-Euler numbers and ...various identities ... See full document
8
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] ... See full document
13
Some Identities on the Twisted (ℎ,𝑞) Genocchi Numbers and Polynomials Associated with 𝑞 Bernstein 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.. Kim, “Sym[r] ... See full document
9
On a q analog of some numbers and polynomials
... and polynomials of the first kind and of the second ...interesting identities related to the Stirling numbers of the first kind and of the second kind, the Euler polynomials of higher ... See full document
9
Arithmetic Identities Involving Bernoulli and Euler Numbers
... 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.. Kim, “Sym[r] ... See full document
11
Some Identities Involving the Higher Order Changhee Numbers and Polynomials
... number identities by various method [1] [2] [3] ...ious identities of the higher-order Changhee numbers and polynomials which are derived from umbral ...special polynomials and ... See full document
10
Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
... and polynomials of higher order attached to ...q-Euler polynomials attached to χ, and have some identities involving these q-Euler ...of order r attached to χ ... See full document
6
Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
... consider higher-order Frobenius-Euler polynomials, associated with poly-Bernoulli polynomials, which are derived from polylogarithmic ...These polynomials are called ... See full document
13
A note on the higher order Frobenius Euler polynomials and Sheffer sequences
... Kim et al Advances in Difference Equations 2013, 2013 41 http //www advancesindifferenceequations com/content/2013/1/41 R ES EA RCH Open Access A note on the higher order Frobenius Euler polynomials a[.] ... See full document
12
On the Twisted Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 875098, 11 pages doi 10 1155/2010/875098 Research Article On the Twisted q Analogs of the Generalized Euler Numb[.] ... See full document
11
Some Identities on the 𝑞 Genocchi Polynomials of Higher Order and 𝑞 Stirling Numbers by the Fermionic 𝑝 Adic Integral on ℤ𝑝
... of polynomials of N ¨orlund type is presented by using the multivariate fermionic p-adic integral on ...these higher-order q-Genocchi numbers and polynomials yields an interesting q-analog of ... See full document
14
Note on the Extension of Barnes' Type Multiple Euler Polynomials
... and polynomials of higher order, which are related to Barnes’ type multiple Euler numbers and ...q-Euler polynomials of higher ...q-Euler polynomials of ... See full document
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