[PDF] Top 20 The Powers Sums, Bernoulli Numbers, Bernoulli Polynomials Rethinked
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The Powers Sums, Bernoulli Numbers, Bernoulli Polynomials Rethinked
... power sums and proving that Bernoulli polynomials of odd order vanish for arguments equal to 0, 1/2, 1, we obtain easily the Faulhaber formula for pow- ers sums in term of polynomials ... See full document
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Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... Apostol-Euler polynomials and numbers is performed. Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials and numbers are ... See full document
13
Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions
... convolution sums and their ap- plications is classical, and they play an important role in number ...combinatorial Bernoulli numbers and convolution ... See full document
11
Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials
... 11. Yang, SL: An identity of symmetry for the Bernoulli polynomials. Discrete Math. 308, 550-554 (2008) 12. Howard, FT: Applications of a recurrence for the Bernoulli numbers. J. Number Theory ... See full document
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10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... Abstract. The purpose of this paper is to obtain several series identities in- volving some classes of generalized Apostol-Bernoulli and Apostol-Euler poly- nomials introduced lately by Srivastava et al. in [16, ... See full document
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SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS
... time, Bernoulli, Euler and Genocchi polynomials and numbers and its generalizations have been extensively studied and investigated by many mathematicians and physicists (see ...Genocchi ... See full document
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Some results for the q Bernoulli, q Euler numbers and polynomials
... Carlitz [1,2] introduced q-analogues of the Bernoulli numbers and polynomials. From that time on these and other related subjects have been studied by various authors (see, e.g., [3-10]). Many recent ... See full document
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Bernoulli Basis and the Product of Several Bernoulli Polynomials
... Kim, “Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Simsek, “[r] ... See full document
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On modified degenerate Carlitz q Bernoulli numbers and polynomials
... q-Bernoulli numbers and ...q-Bernoulli numbers and ...these numbers and polynomials which are derived from the generating functions and p-adic integral ... See full document
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A note on poly Bernoulli numbers and polynomials of the second kind
... Kim et al Advances in Difference Equations 2014, 2014 219 http //www advancesindifferenceequations com/content/2014/1/219 R ES EARCH Open Access A note on poly Bernoulli numbers and polynomials of the[.] ... See full document
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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
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Bernoulli F polynomials and Fibo–Bernoulli matrices
... Euler–Fibonacci numbers, polynomials and their exponential generating ...the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci ...the Bernoulli ... See full document
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Several closed expressions for the Euler numbers
... the Bernoulli numbers, the Genocchi numbers, the tangent numbers, the Euler polynomials, the Stirling numbers of two kinds, and the Riemann zeta function, in number theory and ... See full document
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On (q, r, w)-Stirling Numbers of the Second Kind
... r-Stirling numbers of the second kind based on the q-numbers via an exponential gen- erating ...q-Bernoulli numbers and polynomials, and newly de…ned (q; r; w)- Stirling numbers ... See full document
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Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
... derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and polynomials, in ... See full document
12
New results on higher order Daehee and Bernoulli numbers and polynomials
... Daehee numbers and ...these numbers and polynomials are ...Daehee numbers and ...these numbers and polynomials and Stirling numbers, Nörlund numbers, and ... See full document
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Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
... Daehee numbers of the first kind in terms of the generalized multiparameter non central Stirling numbers of the second kind and Stirling number of the first kind, see [1] [10] ... See full document
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A note on degenerate poly Bernoulli numbers and polynomials
... A note on degenerate poly Bernoulli numbers and polynomials Kim and Kim Advances in Difference Equations (2015) 2015 258 DOI 10 1186/s13662 015 0595 3 R E S E A R C H Open Access A note on degenerate[.] ... See full document
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q Bernoulli numbers and q Bernoulli polynomials revisited
... -Bernoulli numbers and q - Bernoulli polynomials given by Acikgöz et ...-Bernoulli numbers and polynomials is ...-Bernoulli numbers and polynomials ... See full document
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A New Approach to Bernoulli Numbers and Bernoulli Polynomials Related to Bernstein Polynomials
... q-Bernoulli numbers and q-Bernoulli ...these numbers and polynomials related to the second-kind Stirling numbers and q-Bernstein ...q- Bernoulli polynomials ... See full document
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