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[PDF] Top 20 A Note on Genocchi Polynomials and Numbers of Higher Order

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A Note on  Genocchi Polynomials and Numbers of Higher Order

A Note on Genocchi Polynomials and Numbers of Higher Order

... Euler numbers using Fermionic q-integral and introduced related ...Euler numbers which can be viewed as interpolating of q-analogue of Euler zeta function at negative integers and gives Bernoulli ... See full document

6

Note on q Extensions of Euler Numbers and Polynomials of Higher Order

Note on q Extensions of Euler Numbers and Polynomials of Higher Order

... Euler polynomials and numbers, see 14, ...Euler numbers and polynomials to be different which is treated by Ozden et ...q-Euler numbers and polynomials, we derive some interesting ... See full document

9

Some Identities on the

Some Identities on the 𝑞 Genocchi Polynomials of Higher Order and 𝑞 Stirling Numbers by the Fermionic 𝑝 Adic Integral on ℤ𝑝

... q-Genocchi numbers and families of polynomials of N ¨orlund type is presented by using the multivariate fermionic p-adic integral on ...these higher-order q-Genocchi ... See full document

14

A Note on Nörlund Type Twisted  Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant  Integrals

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 Distribution of the  Euler Polynomials and the  Genocchi Polynomials of Higher Order

On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order

... and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined ... See full document

9

On Multiple Interpolation Functions of the  Genocchi Polynomials

On Multiple Interpolation Functions of the Genocchi Polynomials

... the higher order q-Genocchi numbers and ...these numbers and ...modified higher order q-Genocchi polynomials and numbers, which are denoted by G r n,q ... See full document

13

Derivation of Identities Involving Bernoulli and Euler Numbers

Derivation of Identities Involving Bernoulli and Euler Numbers

... Lee, “Some identities on the q-Genocchi polynomials of higher-order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” International Journal of Mathematics and Mathematical[r] ... See full document

15

A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers

A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers

... q-Bernstein polynomials and q-Genocchi polynomials have attracted a lot of interest and have been studied from different points of view along with some gen- eralizations and modifications by a number ... See full document

9

Unified (p, q) -analog of Apostol type polynomials of order a

Unified (p, q) -analog of Apostol type polynomials of order a

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

10

Some Identities Involving the Higher Order Changhee Numbers and Polynomials

Some Identities Involving the Higher Order Changhee Numbers and Polynomials

... DOI: 10.4236/jamp.2018.64057 656 Journal of Applied Mathematics and Physics [3] Kwon, J., Noh, H.S., Jeong, S.H., Kim, A.J., Lee, J.H. and Rim, S.-H. (2015) A Note on Weighted Changhee Polynomials and ... See full document

10

On the Generalized  Genocchi Numbers and Polynomials of Higher Order

On the Generalized Genocchi Numbers and Polynomials of Higher Order

... q-Bernstein polynomials and q-Genocchi polynomials, which are treated in this ...the higher-order generalized Genocchi numbers and polynomials attached to ...of ... See full document

8

Degenerate Changhee Genocchi numbers and polynomials

Degenerate Changhee Genocchi numbers and polynomials

... Changhee numbers and polynomials of the second ...A note on nonlinear Changhee differential ...A note on degenerate Stirling polynomials of the second ...A note on partially ... See full document

10

Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials

Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials

... multiparameter higher order Daehee numbers and polynomials of the first and second ...these numbers and polynomials are ...multiparameter higher order Daehee and ... See full document

11

A note on higher order Bernoulli polynomials

A note on higher order Bernoulli polynomials

... Kim and Kim Journal of Inequalities and Applications 2013, 2013:111 http://www.journalofinequalitiesandapplications.com/content/2013/1/111.. A note on higher-order Bernoulli polynomials D[r] ... See full document

9

On the Symmetric Properties of Higher Order Twisted  Euler Numbers and Polynomials

On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials

... Euler polynomials of higher- order, ...the higher-order twisted q-Euler numbers and ...concerning higher- order twisted q-Euler numbers and ... See full document

8

On the Twisted  Analogs of the Generalized Euler Numbers and Polynomials of Higher Order

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

A Note on the Genocchi Numbers and Polynomials

A Note on the Genocchi Numbers and Polynomials

... of Genocchi numbers and polyno- mials (see [1, 2, 5–7, ...of Genocchi numbers and give the same relations between q-Genocchi numbers and q-Euler ... See full document

8

SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS

SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS

... and Genocchi polynomials and numbers and its generalizations have been extensively studied and investigated by many mathematicians and physicists (see ...two Genocchi polynomials ... See full document

6

A note on the higher order Frobenius Euler polynomials and Sheffer sequences

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

New results on higher order Daehee and Bernoulli numbers and polynomials

New results on higher order Daehee and Bernoulli numbers and polynomials

... of higher-order Daehee numbers and ...these numbers and polynomials are ...on higher-order Daehee numbers and ...these numbers and polynomials and ... See full document

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