[PDF] Top 20 On the generalized Apostol type Frobenius Euler polynomials
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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 ... See full document
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A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order
... or 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 ... See full document
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Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... these polynomials have been ...the generalized Apostol-Bernoulli polynomials B α n x; λ of order α ∈ C; Luo 10 invented the generalized Apostol-Euler polynomials E ... See full document
15
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
... (the generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers ... See full document
12
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
10
Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius Euler mixed type polynomials
... Bernoulli polynomials as well as generalized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed-type polynomials of these ...these ... See full document
16
11B83, 11S80, 05A19.
... the generalized Apostol type Frobenius-Genocchi polynomials and investigated some properties and relations including implicit summation formulae and various symmetric ... See full document
9
Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... and Euler polynomials and ...the Euler type and Dilcher type sums of products of Bernoulli ...of Apostol- Bernoulli numbers by expressing the sums of products of the ... See full document
13
Some properties of the generalized Apostol-type polynomials
... In this paper, we study some properties of the generalized Apostol-type polynomials (see (Luo and Srivastava in Appl. Math. Comput. 217:5702-5728, 2011)), including the recurrence relations, ... See full document
13
New recurrence formulae for the Apostol Bernoulli and Apostol Euler polynomials
... was generalized to the classi- cal Bernoulli polynomials by He and Zhang ...the Apostol-Bernoulli and Apostol-Euler ...and Euler polynomials and numbers stated in ... See full document
14
New Type of Degenerate Poly-Frobenius-Euler Polynomials and Numbers
... new type of degenerate poly- Bernoulli polynomials by means of the degenerate polylogarithm ...poly-Frobenius-Euler polynomials, called the new type of degenerate ... See full document
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Identities on Generalized Apostol-Genocchi Numbers and Polynomials Involving Binomial Coefficients
... of Apostol-Genocchi numbers and poly- ...or generalized Apostol-Genocchi numbers and polynomials are related to the well-known Bernoulli and Euler numbers and ...on generalized ... See full document
11
Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
... higher-order Frobenius-Euler polynomials, associated with poly-Bernoulli polynomials, which are derived from polylogarithmic ...These polynomials are called higher-order ... See full document
13
Barnes’ multiple Frobenius Euler and poly Bernoulli mixed type polynomials
... Kim et al Advances in Difference Equations 2014, 2014 92 http //www advancesindifferenceequations com/content/2014/1/92 R ES EARCH Open Access Barnes? multiple Frobenius Euler and poly Bernoulli mixed[.] ... See full document
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Truncated exponential based Frobenius–Euler polynomials
... of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating ...based Apostol-type ... See full document
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A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... many polynomials, theorems, numbers ...degenerate type various numbers and ...Hermite polynomials in [3], the degenerate Hermite-Bernoulli poynomials and numbers in [4], the degenerate ... See full document
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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 ... See full document
13
Some new formulas for the products of the Frobenius Euler polynomials
... The above Corollary . can be also found in [] where it was established by using the generalized beta integral technique. In fact, Corollary . can be used to give a different expression for the new sums of ... See full document
11
Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications
... We begin with the following theorem, which is a Fourier series expansion of the Apostol Frobenius–Euler polynomial. For the following theorem, we will give two proofs. The first proof includes the ... See full document
14
Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... (p, q)-extensions of Carlitz’s result Eq. (2.19) in [5] and Srivastava and Pintér’s addi- tion theorems between Apostol type (p, q)-Frobenius-Euler polynomials of order α and ... See full document
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