[PDF] Top 20 Generalizations of Euler numbers and polynomials
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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] ... See full document
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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
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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. ... See full document
10
Ordinary and degenerate Euler numbers and polynomials
... integrals, Euler polynomials, and alternating integer power ...sum polynomials and represent them in terms of Euler polynomials and Stirling numbers of the second kind, and ... See full document
11
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials
... and Euler numbers and polynomials, and then discuss the relationships between the generalized Bernoulli and Euler numbers and ... See full document
8
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 ... See full document
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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] ... See full document
10
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, ... See full document
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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] ... See full document
12
Generalizations of the Bell Numbers and Polynomials and Their Properties
... unified generalizations for the Bell numbers and polynomials, establish explicit formulas and inversion for- mulas for these generalizations in terms of the Stirling numbers of the ... See full document
12
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 ... See full document
11
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... twisted Euler polynomials of higher- order, ...q-Euler numbers and ...q-Euler numbers and polynomials by the properties of p-adic invariant integral on Z p ... See full document
8
Some results for the q Bernoulli, q Euler numbers and polynomials
... The q -analogues of many well known formulas are derived by using several results of q -Bernoulli, q -Euler numbers and polynomials. The q -analogues of ζ-type functions are given by using generating ... See full document
16
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 ... See full document
9
Generalizations of Bernoulli's Numbers and Polynomials
... The authors were supported in part by NNSF (#10001016) of China, SF for the Prominent Youth of Henan Province, SF of Henan Innovation Talents at Universities, NSF of Henan Province (#004[r] ... See full document
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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
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Generalizations of Bernoulli numbers and polynomials
... Bernoulli numbers B n , Bernoulli polynomials B n (x), and the gen- eralized Bernoulli numbers B n (a,b) are generalized to the one B n (x;a,b,c) which is called the generalized Bernoulli ... See full document
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Several closed expressions for the Euler numbers
... Bernoulli numbers, the Genocchi numbers, the tangent numbers, the Euler polynomials, the Stirling numbers of two kinds, and the Riemann zeta function, in number theory and ... See full document
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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 ... See full document
11
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... of numbers or the three kinds of ...Genocchi numbers themselves and Genocchi polynomials ...Genocchi numbers (polynomials), Bernoulli numbers (polynomials) and ... See full document
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