[PDF] Top 20 Recurrence formulae for Apostol Bernoulli and Apostol Euler polynomials
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Recurrence formulae for Apostol Bernoulli and Apostol Euler polynomials
... the Apostol-Bernoulli polynomials which were introduced by Apostol [] (see also Srivastava [] for a systematic study) in order to evaluate the value of the Hurwitz- Lerch zeta ...the ... 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
... 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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New recurrence formulae for the Apostol Bernoulli and Apostol Euler polynomials
... The main purpose of this paper is by using the generating function methods and some combinatorial techniques to establish some new recurrence formulae for the Apostol-Bernoulli and ... See full document
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Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... the Apostol-Bernoulli and Apostol-Euler polynomials and numbers is ...closed formulae of sums of products of any number of Apostol-Bernoulli and ... See full document
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Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... these polynomials have been ...generalized 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 ... See full document
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An extension of generalized Apostol Euler polynomials
... alized Apostol-Bernoulli polynomials and/or the generalized Apostol-Genocchi polyno- mials, only the nonnegative integer orders of these polynomials are considered and used ... See full document
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Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications
... well-known polynomials have been studied by some mathematicians; see, for details, [2–4, ...Genocchi polynomials, and Apostol– Genocchi polynomials by using the Lipschitz summation ...the ... See full document
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Certain results on (p,q)-Hermite based Apostol type Frobenius-Euler polynomials
... based Apostol type Frobenius-Euler numbers and polyno- mials and rthen develop some basic identities and ...mentioned polynomials and ...based Apostol type Frobenius-Euler ... See full document
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Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... and polynomials, see [5], [6], [25], [26]. Apostol-type polynomials and numbers were firstly introduced by Apostol [1] and also Srivastava ...Then, Apostol-Bernoulli, ... See full document
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Applications of q-Umbral Calculus to Modi ed Apostol Type q-Bernoulli Polynomials
... q-Bernoulli polynomials, q-Euler polynomials and various general- izations of these polynomials ...modi…ed Apostol type q-Bernoulli numbers and polynomials, and we ... 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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Search | Preprints
... explicit formulae, Stirling numbers of the second kind and some relationships for q-Hermite based Apostol type polynomials of order α related to Apostol type Bernoulli ... See full document
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Some new formulas for the products of the Apostol type polynomials
... classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded ...the Apostol-Bernoulli, Euler, and Genocchi ... See full document
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New Extension of Unified Family Apostol Type of Polynomials and Numbers
... (4.8) between the unified Bernstein and Bleimann-Butzer-Hahn basis, the new unified family of generalized Apos- tol-Bernoulli, Euler and Genocchi polynomials (see [9]) and generalized Stirling ... See full document
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On the generalized Apostol type Frobenius Euler polynomials
... In this section, we give a recurrence relation between the generalized Frobenius-Euler polynomials and the Hurwitz-Lerch zeta function. Recently, many authors have studied not only the Hurwitz-Lerch ... See full document
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Applications on the Apostol Daehee numbers and polynomials associated with special numbers, polynomials, and p adic integrals
... the Apostol-Daehee numbers and polynomials, Apostol-Bernoulli polynomials, some special numbers including the Stirling numbers, the Euler numbers, the Daehee numbers, and the ... See full document
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New formulae of products of the Frobenius Euler polynomials
... classical Bernoulli numbers and Euler numbers, ...and polynomials play important roles in many different areas of mathematics including number theory, combinatorics, special functions and ... See full document
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Unified (p, q) -analog of Apostol type polynomials of order a
... of Apostol type polynomials of order including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order ... See full document
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Reduction and duality of the generalized Hurwitz-Lerch zetas
... 8. Kanemitsu, S, Katsurada, M, Yoshimoto, M: On the Hurwitz-Lerch zeta function. Aequ. Math. 59, 1-19 (2000) 9. Nakamura, T: Some formulas related to Hurwitz-Lerch zeta functions. Ramanujan J. 21(3), 285-302 (2010) 10. ... See full document
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Hermite based unified Apostol Bernoulli, Euler and Genocchi polynomials
... Hermite-based Apostol-Bernoulli, Euler and Genocchi ...these polynomials and the generalized sum of integer ...closed-form formulae for this unified ... See full document
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