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Genocchi polynomials

Hermite based unified Apostol Bernoulli, Euler and Genocchi polynomials

Hermite based unified Apostol Bernoulli, Euler and Genocchi polynomials

... In this paper, we introduce a unified family of Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomials. We obtain some symmetry identities between these polynomials and the generalized sum of ...

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Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients

Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients

... on Genocchi numbers and Genocchi polynomials have a long ...Angelo Genocchi (1817–1889). Nowadays, Genocchi numbers and kinds of Genocchi polynomials have become a popular ...

7

On Multiple Interpolation Functions of the  Genocchi Polynomials

On Multiple Interpolation Functions of the Genocchi Polynomials

... In this section, we study modified generating functions of the higher order q-Genocchi numbers and polynomials. We obtain some relations related to these numbers and polynomials. Therefore we define ...

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On the Distribution of the  Euler Polynomials and the  Genocchi Polynomials of Higher Order

On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order

... and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined by ...

9

THE PARTIALLY DEGENERATE CHANGHEE-GENOCCHI POLYNOMIALS AND NUMBERS

THE PARTIALLY DEGENERATE CHANGHEE-GENOCCHI POLYNOMIALS AND NUMBERS

... T. Kim have studied some identities of Changhee numbers which are derived from generating function using nonlinear differential equation(see [8]). In this paper, we study some identities of the partially degenerate ...

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A Note on  Genocchi Polynomials and Numbers of Higher Order

A Note on Genocchi Polynomials and Numbers of Higher Order

... and polynomials related to Gaussian binomial coefficient and studied also some identities of q-Euler polynomials and q-stirling ...q-Genocchi polynomials and numbers of higher ...

6

Implicit Summation Formula for 2-Variable Laguerre-Based Poly-Genocchi Polynomials

Implicit Summation Formula for 2-Variable Laguerre-Based Poly-Genocchi Polynomials

... Abstract. The main object of this paper is to introduce a new class of Laguerre-based poly-Genocchi polynomials and investigate some properties for these polynomials and related to the Stirling ...

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On Multi Poly-Genocchi Polynomials with Parameters a, b and c

On Multi Poly-Genocchi Polynomials with Parameters a, b and c

... In this section, using the concept of multiple polylogarithm, we introduce the multi poly-Genocchi polynomials with parameters a, b and c. Some properties of these polyno- mials are established parallel to ...

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Some explicit identities on Changhee Genocchi polynomials and numbers

Some explicit identities on Changhee Genocchi polynomials and numbers

... Changhee-Genocchi polynomials. We study some explicit identities on these polynomials, which are related to Genocchi polynomials and Changhee ...Changhee-Genocchi ...

12

Calculating Zeros of the  Genocchi Polynomials Associated with  Adic
 Integral on

Calculating Zeros of the Genocchi Polynomials Associated with Adic Integral on

... and polynomials, the Euler numbers and polynomials, and the Genocchi numbers and the Genocchi ...and polynomials, the Euler numbers and polynomials, and the Genocchi ...

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A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order

A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order

... and polynomials such as the Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi numbers and polynomials, Fubini numbers and polynomials, and also their ...

21

New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials

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 [], Kurt [], Luo [], ...

9

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] ...

6

Integral Formulae of Bernoulli and Genocchi Polynomials

Integral Formulae of Bernoulli and Genocchi Polynomials

... Kim, “Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials,” Advanced Studies in Contemporary Mathematics, vol.. Kim, “Integral formulae of Bernoulli polynomi[r] ...

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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

... Bernoulli polynomials B n (α) (x) of order α ∈ C , the generalized Euler polynomials E n (α) (x) of order α ∈ C and the generalized Genocchi polynomials G (α) n (x) of order α ∈ C , each of ...

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On Some Arithmetical Properties of the Genocchi Numbers and Polynomials

On Some Arithmetical Properties of the Genocchi Numbers and Polynomials

... The main aim of this paper is to derive the Fourier transform for the Genocchi function. Recently, Kim 7 investigated the properties of the Euler functions and derived the interesting formula related to the ...

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Unified (p, q) -analog of Apostol type polynomials of order a

Unified (p, q) -analog of Apostol type polynomials of order a

... Bernoulli polynomials, Euler poly- nomials and Genocchi polynomials and acquired the (p; q)-analogues of known earlier ...and Genocchi polynomials and derived their some ...for ...

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11B83, 11S80, 05A19.

11B83, 11S80, 05A19.

... Frobenius-Genocchi polynomials and investigated some properties and relations including implicit summation formulae and various symmetric ...Array-type polynomials, Apostol-Bernoulli ...

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Search | Preprints

Search | Preprints

... During the last two decades , the theory of (p, q)-calculus has been discussed and investigated extensively by many mathematicians and also physicists. For example Corcino [3] worked on the (p, q)-generalization of the ...

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On the Generalized  Genocchi Numbers and Polynomials of Higher Order

On the Generalized Genocchi Numbers and Polynomials of Higher Order

... q-Bernstein polynomials and q-Genocchi polynomials, which are treated in this ...generalized Genocchi numbers and polynomials attached to ...and polynomials attached to χ by ...

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