[PDF] Top 20 Some new formulas for the products of the Apostol type polynomials
Has 10000 "Some new formulas for the products of the Apostol type polynomials" found on our website. Below are the top 20 most common "Some new formulas for the products of the Apostol type polynomials".
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 ...[–], some interesting properties for the Apostol-Bernoulli, ... See full document
18
Some new formulas for the products of the Frobenius Euler polynomials
... Frobenius-Euler polynomials give the Euler polynomials when λ = – in ...Bernoulli polynomials can be expressed by the Frobenius-Euler polynomials as ... See full document
11
New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials
... Jacobi polynomials and to establish the conditions of nonnegativity of the linearization coefficients has been extensively studied by many authors (see, for instance, Askey and Gasper [], Gasper [, ], Rahman [], ... See full document
13
Search | Preprints
... unified Apostol Bernoulli, Euler and Genocchi polynomials of order α and to investigate some properties of ...of new generalization of Stirling numbers of the second kind of order ν by which we ... See full document
13
Unified (p, q) -analog of Apostol type polynomials of order a
... a new generating function for (p; q)-analog of Apostol type polynomials of order including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of ... See full document
10
Some unified formulas and representations for the Apostol type polynomials
... the Apostol-type polynomials was introduced by Luo and Srivastava ...the Apostol-type polynomials and obtain their unified multiplication formula and explicit representations in ... See full document
16
Generalized fractional integral operators and the multivariable H function
... establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to ... See full document
17
Hecke operators type and generalized Apostol-Bernoulli polynomials
... Our results are new and useful in applied mathematics and computation, analytic num- ber theory and related areas. There are many reasons for being interested by Hecke-type operators. In particular, these ... See full document
11
Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference ... See full document
14
Some symmetry identities for the Apostol type polynomials related to multiple alternating sums
... 14:1267-1277, 2008; Abstr. Appl. Anal. 2008, doi:11.1155/2008/914347, Yang et al. in Discrete Math. 308:550-554, 2008; J. Math. Res. Expo. 30:457-464, 2010). Luo (Integral Transforms Spec. Funct. 20:377-391, 2009), ... See full document
8
New recurrence formulae for the Apostol Bernoulli and Apostol Euler polynomials
... of products of the Apostol-Bernoulli ...the Apostol-Bernoulli polynomials, Corollary ...For some applications of Corollaries ...mixed Apostol-Bernoulli and ... See full document
14
New Extension of Unified Family Apostol Type of Polynomials and Numbers
... the new unified family of generalized Apos- tol-Bernoulli, Euler and Genocchi polynomials (see [9]) and generalized Stirling numbers of first kind (see ... See full document
11
Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... of products of three and four Bernoulli ...of products of five Bernoulli numbers, and Zhang [] derived the closed ones of sums of products of less than and equal to seven Bernoulli ...obtained ... See full document
13
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 ...establish some useful and interesting relations and formulas for the ... See full document
16
On the generalized Apostol type Frobenius Euler polynomials
... derive some new identities related to the Frobenius-Euler ...Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative ... See full document
9
Some relations involving generalized Hurwitz Lerch zeta function obtained by means of fractional derivatives with applications to Apostol type polynomials
... of Apostol-Bernoulli and Apostol-Euler polynomials and their connections to the generalized Hurwitz-Lerch zeta function ∗ μ (z, s, ...give some expansion formulas involving these ... See full document
13
Number of spanning trees of new join graphs
... get new structures from given ...many new graphs from a given set of ...simple formulas of the complexity, number of spanning trees, of some new join graphs, using linear algebra, ... See full document
12
Reduction and duality of the generalized Hurwitz-Lerch zetas
... In this paper, by means of integral representation, we introduce the generalized Hurwitz-Lerch zeta functions of arbitrary complex order. For these functions, we establish the reduction formula and its associated dual ... See full document
14
An extension of generalized Apostol Euler polynomials
... Bernoulli polynomials (see Tremblay in ...generalized Apostol-Euler polynomials. We state some properties for these polynomials and obtain some relationships between the ... See full document
10
New formulae of products of the Frobenius Euler polynomials
... Frobenius-Euler polynomials. Some new formulae of products of the Frobenius-Euler polynomials are established by applying the generating function methods and some summation ... See full document
13
Related subjects