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[PDF] Top 20 On Interpolation Functions of the Generalized Twisted Euler Polynomials

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On Interpolation Functions of the Generalized Twisted  Euler Polynomials

On Interpolation Functions of the Generalized Twisted Euler Polynomials

... two-variables Euler q-L-function. In this section, we will construct p-adic twisted two-variable Euler-h, q-L-functions, which interpolate generalized twisted h, q- Euler ... See full document

17

Generalized Exponential Euler Polynomials and Exponential Splines

Generalized Exponential Euler Polynomials and Exponential Splines

... are derived. Section 3 discusses the applications of the generalized exponential Euler polynomials in the series transformations and expansions. Furthermore, using the combinatorial technique, we ... See full document

8

On Multiple Interpolation Functions of the  Genocchi Polynomials

On Multiple Interpolation Functions of the Genocchi Polynomials

... and polynomials, recently, have been studied by many ...generating functions of the q-Euler numbers and polynomials and their interpolation ...and functions. He 14 defined q- ... See full document

13

Some identities of Genocchi polynomials arising from Genocchi basis

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

Unified representation of the family of L functions

Unified representation of the family of L functions

... generating functions of the generalized Bernoulli, Euler and Genocchi numbers and the generalized Bernoulli, Euler and Genocchi polynomials with parameters a, b, β and ... See full document

10

On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials

On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials

... The twisted Bernoulli polynomials and numbers and the twisted Euler polynomials and numbers are very important in several fields of mathematics and ...the twisted Euler ... See full document

8

New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders

New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders

... Appell polynomials, Bernoulli polynomials, Euler polynomials, generalized Taylor’s formula, Taylor-like expansion, double integral, remainder.. The second author was supported in part by[r] ... See full document

14

Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials

Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials

... (the generalized) derivative polynomials, explicit formulas for the Bernoulli numbers and polynomials, for the Euler numbers and polynomials, for higher derivatives of some elementary ... See full document

12

10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums

10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums

... of generalized Apostol-Bernoulli and Apostol-Euler poly- nomials introduced lately by Srivastava et ...the generalized alternating sum and the analogues of the expansions of the hyperbolic tangent ... See full document

15

Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials

Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials

... The generalized Bernoulli polynomials B n α x of order α ∈ C, the generalized Euler poly- nomials E α n x of order α ∈ C, and the generalized Genocchi polynomials G α n x of ... See full document

15

Some Relationships between the Analogs of Euler Numbers and Polynomials

Some Relationships between the Analogs of Euler Numbers and Polynomials

... new twisted Euler polynomials and ...generating functions of the twisted Euler numbers and polynomials associated with their interpola- tion ...construct twisted ... See full document

22

Generalized  Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

... generating functions which are related to q-Euler numbers and polynomials of higher order attached to ...q-Euler polynomials attached to χ, and have some identities involving these ... See full document

6

Remarks on Sum of Products of  Twisted Euler Polynomials and Numbers

Remarks on Sum of Products of Twisted Euler Polynomials and Numbers

... Higher-order twisted Bernoulli and Euler numbers and polynomials were studied by many au- thors see for details ...higher-order Euler polynomials and ...defined twisted ... See full document

8

Interpolation Functions of  Extensions of Apostol's Type Euler Polynomials

Interpolation Functions of Extensions of Apostol's Type Euler Polynomials

... and polynomials, the q-extensions of Bernoulli and Euler numbers and polynomials have been studied by several ...the Euler numbers and polynomials ...the Euler numbers and ... See full document

12

On the Symmetric Properties of the Multivariate  Adic Invariant Integral on  Associated with the Twisted Generalized Euler Polynomials of Higher Order

On the Symmetric Properties of the Multivariate Adic Invariant Integral on Associated with the Twisted Generalized Euler Polynomials of Higher Order

... Research Article On the Symmetric Properties of the Multivariate p-Adic Invariant Integral on Zp Associated with the Twisted Generalized Euler Polynomials of Higher Order Taekyun Kim,1 B[r] ... See full document

8

Higher-order Euler-type polynomials and their applications

Higher-order Euler-type polynomials and their applications

... generating functions for higher-order Euler-type polynomials and ...generating functions, we obtain functional equations related to a generalized partial Hecke operator and ... See full document

11

An extension of generalized Apostol Euler polynomials

An extension of generalized Apostol Euler polynomials

... Transcendental Functions, ...Transcendental Functions, ...Transcendental Functions, vol. 3 (1953) 4. Luck, Y: The Special Functions and Their Approximations ... See full document

10

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

Multiple Twisted  Euler Numbers and Polynomials Associated with  Adic  Integrals

Multiple Twisted Euler Numbers and Polynomials Associated with Adic Integrals

... multiple twisted q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta ...multiple twisted Barnes’ type q-Euler polynomials and multiple ... See full document

11

Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials

Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials

... and Euler polynomials are two classes of special ...of Functions, Theorical Physics, and the ...and Euler polynomials, for some examples, please refer to references in this ... See full document

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