apostol-euler polynomials
Recurrence formulae for Apostol Bernoulli and Apostol Euler polynomials
... In this section, we shall use the above methods to give some quadratic recurrence formu- lae for mixed Apostol-Bernoulli and Apostol-Euler polynomials. As in the proof of Theo- rem ., we ...
16
An extension of generalized Apostol Euler polynomials
... Bernoulli polynomials (see Tremblay in ...generalized Apostol-Euler ...these polynomials and obtain some relationships between the polynomials and Apostol-Bernoulli ...
10
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 ...
15
New recurrence formulae for the Apostol Bernoulli and Apostol Euler polynomials
... Bernoulli polynomials by He and Zhang ...the Apostol-Bernoulli and Apostol-Euler ...and Euler polynomials and numbers stated in Nielsen’s book ...
14
Apostol Euler polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 301 http //www advancesindifferenceequations com/content/2013/1/301 R ES EARCH Open Access Apostol Euler polynomials arising from umbral calculus[.] ...
7
Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... the Apostol-Bernoulli and Apostol-Euler polynomials and numbers is ...of Apostol-Bernoulli and Apostol-Euler polynomials and numbers are established by applying the ...
13
Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for ...
15
On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta functions see ...the Apostol-Bernoulli numbers in their paper are exactly the same as the definition of the q-extension ...
9
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 ...
14
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. ...
14
Identities on Generalized Apostol-Genocchi Numbers and Polynomials Involving Binomial Coefficients
... [14] H. Ozden. Unification of generating function of the Bernoulli, Euler and Genoc- chi numbers and polynomials. International Conference of Numerical Analysis and Applied Mathematics 2010:AIP Conference ...
11
Search | Preprints
... Special polynomials and their generating functions have important roles in many branches of mathematics, probability, statistics, mathematical physics, and also en- ...Since polynomials are suitable for ...
13
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 ...
11
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, the differential ...
13
Search | Preprints
... and polynomials arising from the degenerate logarithm ...poly-Euler polynomials and numbers, are called degenerate poly-Euler polynomials and numbers, by using the degenerate polyloga- ...
12
Applications on the Apostol Daehee numbers and polynomials associated with special numbers, polynomials, and p adic integrals
... the Apostol- Daehee numbers and polynomials of higher order, the Changhee numbers and polynomi- als and the Stirling numbers, the λ-Bernoulli polynomials, the λ-Apostol-Daehee polyno- mials ...
14
Some new formulas for the products of the Apostol type polynomials
... by Apostol [] (see also Srivastava [] for a system- atic further study) in order to evaluate the value of the Hurwitz-Lerch zeta ...the Apostol-Bernoulli, Euler and Genocchi polynomials ...
18
Degenerate q Euler polynomials
... Degenerate q Euler polynomials Kim et al Advances in Difference Equations (2015) 2015 246 DOI 10 1186/s13662 015 0563 y R E S E A R C H Open Access Degenerate q Euler polynomials Taekyun Kim1*, Dae Sa[.] ...
11
Generalizations of Euler numbers and polynomials
... Qiu-Ming Luo: Department of Broadcast-Television Teaching, Jiaozuo University, Jiaozuo City, Henan 454002, China E-mail address: luoqm@jzu.edu.cn Feng Qi: Department of Applied Mathemati[r] ...
9
A note on Euler number and polynomials
... In this paper, we will give the interesting formulae for sums of products of Euler num- bers ( = Frobenius-Euler numbers ) by using p-adic Euler integration which is defined in [3, 5, 8–10]. Our ...
5