bernoulli, genocchi and Euler 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 ...
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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 ...
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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 ...
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Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... these polynomials have been ...Apostol-Bernoulli polynomials B α n x; λ of order α ∈ C; Luo 10 invented the generalized Apostol-Euler polynomials E α n x; λ of order α ∈ C and the ...
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New identities involving Bernoulli, Euler and Genocchi numbers
... and string theory. In , Crabb [] showed that Gessel’s generalization of Miki’s iden- tity [] is a direct consequence of a functional equation for the generating function. Dur- ing the same year, Sun and Pan [] ...
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Several closed expressions for the Euler numbers
... the 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 ...
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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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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) ...
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... and polynomials and give some properties of these numbers and ...q)-Fubini polynomials associated with (p, q)-Bernoulli polynomi- als, (p, q)-Euler polynomials and (p, ...
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Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... to Genocchi numbers, the most common thing comes to our mind is to research the relations between Genocchi numbers, Bernoulli numbers [14–16] and Euler numbers [14, ...on Genocchi ...
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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 ...
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Unified (p, q) -analog of Apostol type polynomials of order a
... Motivated by Kurt’s work [Filomat 30 (4) 921-927, 2016], we …rst consider a class of a new generating function for (p; q)-analog of Apostol type polynomials of order including Apostol-Bernoulli, ...
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Unified representation of the family of L functions
... generalized Bernoulli, Euler and Genocchi numbers and the generalized Bernoulli, Euler and Genocchi polynomials with parameters a, b, β and ...χ-extended ...
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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] ...
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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 ...
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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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A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... the Bernoulli, Stirling and Eulerian numbers in ...many polynomials, theorems, numbers ...and polynomials. For example, the degenerate Hermite polynomials in [3], the degenerate ...
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Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... five Bernoulli numbers, and Zhang [] derived the closed ones of sums of products of less than and equal to seven Bernoulli ...classical Bernoulli and Euler polynomials and ...classical ...
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Differential equations for the extended 2D Bernoulli and Euler polynomials
... of Bernoulli polynomials, by means of Hermite-Kampé de Fériet (or Gould Hopper) polynomials and Bernoulli ...D Bernoulli polynomials by us- ing the factorization method, ...
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On a class of generalized q Bernoulli and q Euler polynomials
... q-Bernoulli polynomials and two different types E [m–,α] n,q (x, ) and E [m–,α] n,q (, y) of the generalized q-Euler ...Both polynomials B [m–,α] n,q (x, ) and B [m–,α] n,q (, y) (E ...
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