Bernoulli 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 ...
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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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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 [], ...
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A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order
... generalized Bernoulli, Euler, and Genocchi polyno- mials involve unifying any two or all of the three special types of polynomials (see, [1, 4, 9, 18, 19, 21, 24–26, 30, ...alized polynomials ...
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On Multiple Interpolation Functions of the Genocchi Polynomials
... order Bernoulli polynomials, Euler polynomials, and Genocchi polynomials have been studied by many ...order Genocchi polynomials which constructed by Kim 15 and see also ...
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... and polynomials and give some properties of these numbers and ...and polynomials and some relationships between q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi ...
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On Multi Poly-Genocchi Polynomials with Parameters a, b and c
... When r = 1, (23) boils down to the generalized poly-Bernoulli polynomials with three parameters a, b, c. Moreover, when c = e, (23) reduces to the multi poly-Bernoulli poly- nomials with two ...
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... The purpose of this paper is to give the distribution of extended higher order q-Euler and q-Genocchi polynomials. In 24, Choi-Anderson-Srivastava have studied the q-extension of the Apostol-Euler ...
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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
... generalized 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 ...
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Unified (p, q) -analog of Apostol type polynomials of order a
... where and are suitable (real or complex) parameters and p; q 2 C with the condition 0 < j q j < j p j 1. In the next section, we perform to de…ne the family of uni…ed (p; q)-analog of Apostol-Bernoulli, ...
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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] ...
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Unified representation of the family of L functions
... The aim of this paper is to unify the family of L-functions. By using the generating functions of the Bernoulli, Euler and Genocchi polynomials, we construct unification of the L-functions. We also ...
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Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... 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 order α ∈ C, each of ...
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Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... of polynomials. We will focus only on Genocchi numbers themselves and Genocchi polynomials ...concern Genocchi num- bers and Genocchi ...between Genocchi numbers ...
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Genocchi Numbers and Polynomials Associated with Genocchi Type Functions
... and Genocchi numbers and polynomials mainly because of their interest and ...q-Genocchi polynomials and generalized q-Genocchi numbers at negative ...
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SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS
... time, Bernoulli, Euler and Genocchi polynomials and numbers and its generalizations have been extensively studied and investigated by many mathematicians and physicists (see ...two Genocchi ...
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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
... of Bernoulli polynomi- als, Euler polynomials and Genocchi polynomials and obtained the (p, q)-analogues of familiar earlier formulas and ...
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A Note on the Genocchi Numbers and Polynomials
... Remark 3.3. In the recent paper (see [1]), Cenkci et al. have studied q-Genocchi num- bers and polynomials and p-adic q-Genocchi measures. Starting from T. Kim, L.-C. Jang, and H. K. Pak’s ...
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The twisted (h, q) Genocchi numbers and polynomials with weight α and q bernstein polynomials with weight α
... In this article, we investigate some properties for the twisted ( h, q )-Genocchi num- bers and polynomials with weight a . By using these properties, we give some interest- ing identities on the twisted ( ...
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