[PDF] Top 20 Identities on the Bernoulli and Genocchi Numbers and Polynomials
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Identities on the Bernoulli and Genocchi Numbers and Polynomials
... Ryoo, “On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials,” Journal of Inequalities and Applications, vol... Operation[r] ... See full document
10
New identities involving Bernoulli, Euler and Genocchi numbers
... and Bernoulli and Euler ...new identities (identities ...involving Bernoulli and Euler numbers in Section , prove new identities (identities ...higher-order ... See full document
15
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... to 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, ...on ... See full document
7
Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials
... q-Bernoulli numbers and q-Bernoulli ...symmetric identities for these numbers and polynomials, by virtue of which, various known results are derived as special ... 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 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
Some Identities on the Generalized Bernoulli Numbers and Polynomials Associated with Volkenborn Integrals
... see 13. Recently, many authors have studied in the different several areas related to q- theory see 1–13. In this paper, we present a systemic study of some families of multiple Carlitz’s type q-Bernoulli ... See full document
17
New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials
... Carlitz first extended the classical Bernoulli polynomials and numbers, Euler polynomi- als and numbers []. There are numerous recent investigations on this subject by many au- thors. Cheon ... See full document
9
Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
... Bernstein polynomials can also be defined in many different ...these polynomials have been looked for by many ...Bernstein polynomials in the area of approximation theory see ... See full document
7
10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... (1.9) If we take a = 1, b = c = e in (1.7), (1.8) and (1.9) respectively, we have (1.4), (1.5) and (1.6). Obviously, when we set λ = 1, α = 1, a = 1, b = c = e in (1.7), (1.8) and (1.9), we have classical ... See full document
15
Identities on products of Genocchi numbers
... of Genocchi numbers by generating functions and Riordan arrays, we establish some identities involving Genocchi numbers, the Stirling numbers, the generalized Stirling ... See full document
10
A note on degenerate Bernstein polynomials
... Bernstein polynomials, the degenerate Bernstein polynomi- als were introduced recently (see ...Bernstein polynomials some fundamental properties and identities associated with special numbers ... See full document
12
Genocchi Numbers and Polynomials Associated with Genocchi Type Functions
... q-Genocchi numbers and ...q-Genocchi numbers and ...q-Genocchi numbers with attached to χ, q-Genocchi numbers and Barnes’ type Changhee q-Bernoulli ... See full document
12
Singular values of three-parameter families $\lambda (\frac{e^{az}-1}{z})^{\mu}$ and $\lambda (\frac{z}{e^{az}-1})^{\eta}$
... Sajid, Singular values and fixed points of family of generating function of Bernoulli numbers, J. Yang, Several identities for the generalized Apostol-Bernoulli polynomials, Comput.[r] ... See full document
8
A Note on the Genocchi Numbers and Polynomials
... interesting identities related to q-Genocchi ...q-Genocchi numbers and polynomials which are different. Our q-Genocchi numbers and polynomials to treat in this paper ... See full document
8
On (q, r, w)-Stirling Numbers of the Second Kind
... Stirling numbers of the second kind and the ex- tended degenerate Bell ...generalized Bernoulli polynomials and Euler polynomials based on the ...r)-Whitney numbers of the …rst and ... See full document
8
Some identities of Genocchi polynomials arising from Genocchi basis
... Simsek, Y: Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions.. Simsek, Y: Theorems on twisted L-function and twisted Ber[r] ... See full document
6
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
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
... derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and ... See full document
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... poly- Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second ...symmetry identities are derived by using different ... See full document
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