[PDF] Top 20 New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials
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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 ... See full document
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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 ...Bernstein ... See full document
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... a new class of degenerate Hermite poly- Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second ...symmetry identities ... See full document
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Hermite based unified Apostol Bernoulli, Euler and Genocchi polynomials
... Apostol-Bernoulli, Euler and Genocchi ...symmetry identities between these polynomials and the generalized sum of integer ... See full document
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Unified representation of the family of L functions
... the Bernoulli, Euler and Genocchi polynomials, we construct unification of the ...derive new identities related to these ... See full document
10
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... a new class of q-Hermite- Fubini numbers and polynomials by combining the q-Hermite polynomials and q- Fubini ...q-Hermite-Fubini polynomials associated with q-Bernoulli ... See full document
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Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... Apostol-Euler polynomials and the Apostol-Genocchi polynomials and we give some properties involving ...the new class of Apostol-Euler polynomials, we establish a ... See full document
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Unified (p, q) -analog of Apostol type polynomials of order a
... type polynomials of order ...the generalized (p; q)-Stirling numbers of the second kind of order v, a correlation between these numbers and uni…ed (p; q)-analog of Apostol type polynomials of order ... See full document
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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 ...a new generalization of Beta ... See full document
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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 ... See full document
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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
... The generalized Apostol-Bernoulli polynomials B (α) n (x; λ) of order α ∈ C , the generalized Apostol-Euler polynomials E (α) n (x; λ) of order α ∈ C , the generalized ... See full document
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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] ... See full document
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Some identities for the product of two Bernoulli and Euler polynomials
... polynomial identities in general. Here, in Theo- rems 2-9, we use the Bernoulli basis in order to express certain polynomials as linear combinations of that basis and hence to get some new and ... See full document
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Degenerate Changhee Genocchi numbers and polynomials
... same new and interesting identities of Changhee numbers and polynomials which are derived from the non-linear differential equation (see ...These identities and technical method ... See full document
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials
... the Bernoulli and Euler polynomials are two classes of special ...about Bernoulli and Euler polynomials, for some examples, please refer to references in this ... See full document
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... of Euler 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 ... See full document
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Ordinary and degenerate Euler numbers and polynomials
... of Euler polynomials and Stirling numbers of the second kind, as well as various properties about Euler numbers and ...sum polynomials in terms of degenerate Euler polynomials ... See full document
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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 ... See full document
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Some Identities Involving the Higher Order Changhee Numbers and Polynomials
... In this paper, by the classical method of Riordan arrays, establish several gen- eral involving higher-order Changhee numbers and polynomials, which are related to special polynomials and numbers. ... See full document
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On a class of generalized q Bernoulli and q Euler polynomials
... classical Bernoulli and Euler numbers and polynomials, in- troducing them as q-Bernoulli and q-Euler numbers and polynomials ... See full document
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