[PDF] Top 20 Apostol Euler polynomials arising from umbral calculus
Has 10000 "Apostol Euler polynomials arising from umbral calculus" found on our website. Below are the top 20 most common "Apostol Euler polynomials arising from umbral calculus".
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[.] ... See full document
7
Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
... study umbral calculus to have alternative ways of obtaining our ...Bernoulli, Euler, and Hermite polynomials arising from umbral calculus to have alternative ... See full document
10
Some identities of Frobenius Euler polynomials arising from umbral calculus
... Kim and Kim Advances in Difference Equations 2012, 2012 196 http //www advancesindifferenceequations com/content/2012/1/196 R ES EA RCH Open Access Some identities of Frobenius Euler polynomials arisi[.] ... See full document
10
Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... We can write easily that [n] p,q = p n−1 [n] q/p , where [n] q/p is the q-number in q-calculus given by [n] q/p = (q/p) (q/p)−1 n −1 . Thereby, this implies that (p, q)-numbers and q-numbers are different, that ... See full document
14
Applications of q-Umbral Calculus to Modi ed Apostol Type q-Bernoulli Polynomials
... modi…ed Apostol type q-Bernoulli ...special polynomials to be a number, in the case when x = 0, B n;q (0; ) = B n;q ( ) is called the modi…ed Apostol type n-th q-Bernoulli ...modi…ed Apostol ... See full document
11
Frobenius Euler polynomials and umbral calculus in the p adic case
... Here, F denotes both the algebra of formal power series in t and the vector space of all linear functionals on P , and so an element f (t) of F will be thought of as both a formal power series and a linear functional ... See full document
11
Some properties of higher order Daehee polynomials of the second kind arising from umbral calculus
... the algebra of the formal power series in t and the vector space of all linear functionals on P, and so an element f (t) of F will be thought of as both a formal power series and a linear functional. We call F the ... See full document
13
Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 73 http //www advancesindifferenceequations com/content/2013/1/73 R ES EA RCH Open Access Some new identities of Bernoulli, Euler and Hermite poly[.] ... See full document
11
Some identities of q Euler polynomials arising from q umbral calculus
... of Euler numbers and polyno- mials by using the method of Hegazi and ...q-Bernoulli polynomials which differ from Carlitz’s q-Bernoulli numbers and ...and polynomials (see [, , ]). ... See full document
12
Unified (p, q) -analog of Apostol type polynomials of order a
... quantum calculus based on q-numbers have been studied and investigated succesfully, densely and considerably (see [4; 8; 10; 15; 16; 19-21; 27; 30; ...quantum calculus based on (p; q)-numbers along the ... See full document
10
Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications
... the Apostol Frobenius–Euler ...results arising from its Fourier ...of Apostol–Frobenius Euler polynomials, which will be given in the next section as ... See full document
14
Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
... So, F denotes both the algebra of formal power series in t and the vector space of all linear functionals on P, and so an element f (t) of F is thought of as both a formal power series and a linear functional (see ... See full document
8
A note on some identities of derangement polynomials
... the umbral calculus approach to the derangement polynomials and their gen- eralizations has not yet been ...used umbral calculus in order to study some interesting properties on them, ... See full document
17
Degenerate poly Bernoulli polynomials with umbral calculus viewpoint
... use umbral calculus to obtain several new and interesting identities of degenerate poly-Bernoulli ...the umbral cal- culus as given in [, ...of polynomials in a single variable x over C by ... See full document
13
Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials
... Kim et al Advances in Difference Equations 2012, 2012 201 http //www advancesindifferenceequations com/content/2012/1/201 R ES EA RCH Open Access Some identities on Bernoulli and Euler polynomials ari[.] ... See full document
8
Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... of Apostol-Euler polynomials and the Apostol-Genocchi polynomials and we give some properties involving ...of Apostol-Euler polynomials, we establish a new addition ... See full document
15
Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials
... Abstract The purpose of this paper is to investigate some interesting identities on the Bernoulli and Euler polynomials arising from the orthogonality of Legendre polynomials in the inne[r] ... See full document
8
On Poly Bernoulli polynomials of the second kind with umbral calculus viewpoint
... Poly-Bernoulli polynomials of the second kind were introduced in Kim et ...those polynomials and derive further results about them by using umbral ... See full document
13
On the generalized Apostol type Frobenius Euler polynomials
... The aim of this paper is to derive some new identities related to the Frobenius-Euler polynomials. We also give relation between the generalized Frobenius-Euler polynomials and the generalized ... See full document
9
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 generalized ... See full document
13
Related subjects