Results 11 to 20 of about 108 (95)
Advances in Difference Equations, 2011 This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
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Fourier series of higher-order Bernoulli functions and their applications. [PDF]
J Inequal Appl, 2017 In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.
Kim T, Kim DS, Rim SH, Dolgy DV.
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On a bivariate kind of q-Bernoulli polynomials
, 2022 Two bivariate kinds of q-Bernoulli polynomials are introduced and several of their properties are stated and proved. AMS Mathematics Subject Classification (2020): 11B68, 05A30, 33D70.Bulletin t. 156 de l'Académie serbe des sciences et des arts. Classe
Koepf, W. +2 more
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On some conjectures on the monotonicity of some arithmetical sequences [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 11B65, 11B68, 05A10; Secondary 11B83.Here, we prove some conjectures on the monotony of combinatorial and number– theoretical sequences from a recent paper of Zhi–Wei ...
Luca, Florian, Stănică, Pantelimon
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Unified representation of the family of L-functions [PDF]
, 2013 The aim of this paper is to unify the family of L-functions. By using the generating functions of the Bernoulli, Euler and Genocchi polynomials, we construct unification of the L-functions. We also derive new identities related to these functions.
Şimşek, Yılmaz
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The homogenized Linial arrangement and Genocchi numbers [PDF]
, 2022 We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number.
Wachs, Michelle L., +6 more
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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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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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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
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Some convolution identities for Frobenius-Euler polynomials [PDF]
, 2017 In this paper, by applying the generating function methods and summation transform techniques, we establish some new convolution identities for the Frobenius-Euler polynomials. It turns out that some well-known results are obtained as special cases.
Jing Pan +3 more
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