Results 11 to 20 of about 956 (98)
A note on q-Bernoulli numbers and polynomials [PDF]
, 2005 By using p-adic q-integrals, we study the q-Bernoulli numbers and polynomials of higher order.Comment: 8 ...
Barnes E W +18 more
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Generalizations of Bernoulli numbers and polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 59, Page 3769-3776, 2003., 2003 The concepts of Bernoulli numbers Bn, Bernoulli polynomials Bn(x), and the generalized Bernoulli numbers Bn(a, b) are generalized to the one Bn(x; a, b, c) which is called the generalized Bernoulli polynomials depending on three positive real parameters. Numerous properties of these polynomials and some relationships between Bn, Bn(x), Bn(a, b), and Bn(
Qiu-Ming Luo +3 more
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On the generalized Apostol-type Frobenius-Euler polynomials
, 2013 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 Hurwitz-Lerch zeta function at negative integers. Furthermore,
Burak Kurt, Y. Simsek
semanticscholar +1 more source
Generalizations of Euler numbers and polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 61, Page 3893-3901, 2003., 2003 The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are investigated.
Qiu-Ming Luo, Feng Qi, Lokenath Debnath
wiley +1 more source
Sums of Powers and Special Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their ...
Boyadzhiev Khristo N.
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Demonstratio Mathematica, 2022 In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan +3 more
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A study on the q-Euler numbers and the fermionic q-integrals of the product of several type $q$-Bernstein polynomials on Zp [PDF]
, 2003 In this paper, we investigate some interesting properties of q-Berstein polynomials realted to q-Euler numbers by using the fermionic q-integral on Zp.Comment: 7 ...
Kim, Taekyun
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A note on degenerate Hermite poly-Bernoulli numbers and polynomials
, 2016 In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind.
W. Khan
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Symmetric identities for Carlitz’s q-Bernoulli numbers and polynomials
, 2013 In this paper, a further investigation for the Carlitz’s q-Bernoulli numbers and q-Bernoulli polynomials is performed, and several symmetric identities for these numbers and polynomials are established by applying elementary methods and techniques.
Yuan He
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Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
, 2013 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 sum of integer powers. We give explicit closed-form formulae
M. A. Özarslan
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