The Euler Numbers and Polynomials
Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... the Euler numbers and polynomials see 1–15. The Euler numbers and polynomials possess many interesting properties and arising in many areas of mathematics and ...that ...
15
Some Relationships between the Analogs of Euler Numbers and Polynomials
... twisted Euler polynomials and ...twisted Euler numbers and polynomials associated with their interpola- tion ...twisted Euler zeta function, twisted Hurwitz zeta func- tion, ...
22
On the Fermionic adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials
... Research Article On the Fermionic p-adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials T.. Division of General Education-Mathematics, Kwa[r] ...
12
A Note on Some Identities of Frobenius Euler Numbers and Polynomials
... Kim, “A note on Bernstein polynomials associated with q-Euler numbers and polynomials,” International Journal of Mathematics and Analysis, vol... International Journal of Mathematics and[r] ...
10
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials
... and Euler numbers and polynomials In this section, we will restate definitions of (generalized) Bernoulli numbers, (generalized) Bernoulli polynomials, (generalized) Euler ...
8
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... q-Euler numbers of order k. When k 1, the polynomials and numbers are called the twisted q-Euler polynomials and numbers, ...the polynomials and numbers are ...
8
Ordinary and degenerate Euler numbers and polynomials
... sum polynomials in terms of Euler polyno- mials and also of Euler polynomials together with Stirling numbers of the second ...of Euler numbers and polynomials were ...
11
Some new identities of Frobenius Euler numbers and polynomials
... In this paper, we give some new and interesting identities which are derived from the basis of Frobenius-Euler. Recently, several authors have studied some identities of Frobenius-Euler polynomials. ...
10
New Approach to Euler Numbers and Polynomials
... of Euler numbers and ...q-Euler numbers and polynomials. We also consider the generalized q-Euler polynomials attached to Dirichlet’s character χ and have the generating ...
9
Some results for the q Bernoulli, q Euler numbers and polynomials
... Carlitz [1,2] introduced q-analogues of the Bernoulli numbers and polynomials. From that time on these and other related subjects have been studied by various authors (see, e.g., [3-10]). Many recent ...
16
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... of Euler polynomials and ...ler numbers and polynomials to be different which is treated by Ozden et ...and polynomials, we derive some interesting identities and we construct ...
9
Multiple Twisted Euler Numbers and Polynomials Associated with Adic Integrals
... q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta ...q-Euler polynomials and multiple twisted Barnes’ type q-Euler Zeta ...q-Euler ...
11
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[.] ...
11
Generalizations of Euler numbers and polynomials
... Qiu-Ming Luo: Department of Broadcast-Television Teaching, Jiaozuo University, Jiaozuo City, Henan 454002, China E-mail address: [email protected] Feng Qi: Department of Applied Mathemati[r] ...
9
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
... derivative polynomials, explicit formulas for the Bernoulli numbers and polynomials, for the Euler numbers and polynomials, for higher derivatives of some elementary functions, ...
12
Sums of Products of Euler Polynomials and Numbers
... q-Euler polynomials and numbers, since many identities can be obtained from our sums of products of the q-Euler polynomials and ...the Euler numbers and polynomials ...
8
Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... and Euler numbers and polynomials were studied by many au- thors see for details ...Bernoulli numbers and polynomi- ...higher-order Euler polynomials and ...
8
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] ...
10
Identities, inequalities for Boole type polynomials: approach to generating functions and infinite series
... combinatorial numbers and polynomials, and for Peters type polynomials with the help of their generating ...special numbers and polynomials such as Stirling numbers, the ...
11
A Note on Hölder Type Inequality for the Fermionic Adic Invariant Integral
... Sug, “Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Rim, “New q-Euler numbers and polynomia[r] ...
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