[PDF] Top 20 Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
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Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
... q-Euler numbers and polynomials of higher order attached to ...q-Euler polynomials attached to χ, and have some identities involving these q-Euler ... See full document
6
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
On a q analog of some numbers and polynomials
... 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 of the second kind, ... See full document
9
Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
... Let be a odd prime number with of ≡ 1 ( 1) . Throughout this paper, , , and denote the ring of -adic integers, the filed of -adic rational numbers, and the completion of the algebraic closure of , respectively. ... See full document
5
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
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
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
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
On the Identities of Symmetry for the Euler Polynomials of Higher Order
... ζ-Euler numbers of order k. When k 1, the polynomials or numbers are called the ζ-Euler polynomials or ...investigate some properties of symmetry for the ... See full document
9
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... gave some identities of symmetry for the twisted Euler polynomials of higher- order, ...the higher-order twisted q-Euler numbers and ...various ... See full document
8
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 ...Changhee numbers ... See full document
10
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... of Euler polynomials and numbers, see 14, ...of Euler numbers and polynomials to be different which is treated by Ozden et ...q-Euler numbers and polynomials, ... See full document
9
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 ...investigate higher-order-twisted q-Euler numbers and ... See full document
10
Higher-order Euler-type polynomials and their applications
... for higher-order Euler-type polynomials and ...a generalized partial Hecke operator and Euler-type polynomials and ...of higher-order Euler-type ... See full document
11
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
Some Identities on the Generalized Bernoulli Numbers and Polynomials Associated with Volkenborn Integrals
... of some families of multiple Carlitz’s type q-Bernoulli numbers and polynomials by using the integral equations of p-adic q-integrals on Z p ...derive some interesting equations of p-adic ... See full document
17
Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
... Let us assume that P is the algebra of polynomials in the variable x over C and that P ∗ is the vector space of all linear functionals on P . L | p(x) denotes the action of the linear functional L on a polynomial ... See full document
10
Some Identities on the 𝑞 Genocchi Polynomials of Higher Order and 𝑞 Stirling Numbers by the Fermionic 𝑝 Adic Integral on ℤ𝑝
... of some families of 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
ON -ADIC GAMMA FUNCTION RELATED TO -DAEHEE POLYNOMIALS AND NUMBERS
... q-Daehee polynomials and numbers by using the methods of the q-Volkenborn integral and Mahler series expansion; in the last part, we examine the results derived in this ... See full document
7
Note on the Extension of Barnes' Type Multiple Euler Polynomials
... q-Euler numbers and polynomials of higher order, which are related to Barnes’ type multiple Euler numbers and ...q-Euler polynomials of higher ... See full document
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