[PDF] Top 20 Congruences for Generalized Bernoulli Polynomials
Has 10000 "Congruences for Generalized Bernoulli Polynomials" found on our website. Below are the top 20 most common "Congruences for Generalized Bernoulli Polynomials".
Congruences for Generalized Bernoulli Polynomials
... where s ∈ C, Re s > 1. It is well known 2 that Ls, χ may be analytically continued to the whole complex plane, except for a simple pole at s 1 when χ 1, in which case it reduces to Riemann zeta function, ζs Ls, 1. The ... See full document
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New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials
... Carlitz first extended the classical Bernoulli polynomials and numbers, Euler polynomi- als and numbers []. There are numerous recent investigations on this subject by many au- thors. Cheon [], Kurt [], ... See full document
9
Generalizations of Bernoulli numbers and polynomials
... of Bernoulli numbers B n , Bernoulli polynomials B n (x), and the gen- eralized Bernoulli numbers B n (a,b) are generalized to the one B n (x;a,b,c) which is called the ... See full document
8
On a class of generalized q Bernoulli and q Euler polynomials
... the generalized q-Bernoulli polynomials and two different types E [m–,α] n,q (x, ) and E [m–,α] n,q (, y) of the generalized q-Euler ...Both polynomials B [m–,α] n,q (x, ) and B ... See full document
10
Some New Classes of Generalized Apostol Euler and Apostol Genocchi Polynomials
... The generalized Bernoulli polynomials B n α x of order α ∈ C, the generalized Euler poly- nomials E α n x of order α ∈ C, and the generalized Genocchi polynomials G α n x of ... See full document
15
Some Identities on the Generalized Bernoulli Numbers and Polynomials Associated with Volkenborn Integrals
... see 13. Recently, many authors have studied in the different several areas related to q- theory see 1–13. In this paper, we present a systemic study of some families of multiple Carlitz’s type q-Bernoulli numbers ... See full document
17
On the Identities of Symmetry for the Generalized Bernoulli Polynomials Attached to of Higher Order
... Simsek, “On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers,” Russian Journal of Mathematical Physics, vol.. Kim, “New approach to the complete sum of produ[r] ... See full document
7
10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... (1.9) If we take a = 1, b = c = e in (1.7), (1.8) and (1.9) respectively, we have (1.4), (1.5) and (1.6). Obviously, when we set λ = 1, α = 1, a = 1, b = c = e in (1.7), (1.8) and (1.9), we have classical ... See full document
15
A New Approach to Bernoulli Numbers and Bernoulli Polynomials Related to Bernstein Polynomials
... q-Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and q-Bernstein ...the generalized q- Bernoulli ... See full document
9
Bernoulli F polynomials and Fibo–Bernoulli matrices
... In this section, we define an interesting Fibo–Bernoulli matrix by using the Bernoulli F-polynomials. Then we obtain a factorization of the Fibo–Bernoulli matrix by using a generalized ... See full document
16
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... numbers, Bernoulli numbers [14–16] and Euler numbers [14, ...Genocchi polynomials, the most common thing is to research on the relations between Genocchi polynomials, Bernoulli ... See full document
7
Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius Euler mixed type polynomials
... multiple Bernoulli polynomials as well as general- ized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed- type polynomials of these ...these polynomials ... See full document
16
Unified representation of the family of L functions
... the generalized Bernoulli, Euler and Genocchi numbers and the generalized Bernoulli, Euler and Genocchi polynomials with parameters a, b, β and ...χ-extended polynomials and ... See full document
10
Singular values of three-parameter families $\lambda (\frac{e^{az}-1}{z})^{\mu}$ and $\lambda (\frac{z}{e^{az}-1})^{\eta}$
... Sajid, Singular values and fixed points of family of generating function of Bernoulli numbers, J. Yang, Several identities for the generalized Apostol-Bernoulli polynomials, Comput.[r] ... See full document
8
On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials
... twisted Bernoulli polynomials and numbers and the twisted Euler polynomials and numbers are very important in several fields of mathematics and ...and polynomials and the twisted ... See full document
8
Hecke operators type and generalized Apostol-Bernoulli polynomials
... The Hecke operators have many applications in various spaces like the space of elliptic modular forms, the space of polynomials and others. Many mathematicians applied them to obtain applications in analytic ... See full document
11
A Note on Symmetric Properties of the Twisted Bernoulli Polynomials and the Twisted Generalized Bernoulli Polynomials
... q-Bernoulli polynomials and the twisted generalized q-Bernoulli polynomi- als attached to χ of higher order and investigate some symmetric properties of ...q- Bernoulli numbers and ... See full document
13
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials
... the Bernoulli and Euler polynomials are two classes of special ...about Bernoulli and Euler polynomials, for some examples, please refer to references in this ... See full document
8
K. Petr's Formula of Double Integral and Estimates of its Remainder
... numbers and polynomials , Adv. Ujevi´ c, On new estimation of the remainder in generalized Taylor’s formula , Math. Guo, Generalized Bernoulli polynomials , RGMIA Res. Guo, Darboux’s for[r] ... See full document
9
New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders
... Appell polynomials, Bernoulli polynomials, Euler polynomials, generalized Taylor’s formula, Taylor-like expansion, double integral, remainder.. The second author was supported in part by[r] ... See full document
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