Results 21 to 30 of about 384 (65)
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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Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I [PDF]
, 2010 In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that these new families of polynomials and their generalizations are useful to
Dil, Ayhan, Kurt, Veli
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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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An explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind [PDF]
, 2014 In the paper, the author finds an explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind.Comment: 5 ...
Qi, Feng
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SOME REMARKS ABOUT STIRLING NUMBERS OF THE SECOND KIND
Human Research in Rehabilitation, 2013 In this paper we give a representation of Stirling numbers of the second kind, we obtain explicit formulas for some cases of Stirling numbers of the second kind and illustrate a method for founding other such formulas.
Ramiz Vugdalić, Fatih Destović
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, 2012 In the paper, the author establishes some identities which show that the functions $\frac1{(1-e^{\pm t})^k}$ and the derivatives $\bigl(\frac1{e^{\pm t}-1}\bigr)^{(i)}$ can be expressed each other by linear combinations with coefficients involving the ...
Andrews +5 more
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Some inequalities and an application of exponential polynomials
, 2020 In the paper, with the help of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the inversion theorem for the Stirling numbers of the first and second kinds, the author presents an explicit formula and an identity for ...
Feng Qi (祁锋)
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, 2006 Acta Arith. 127(2007), no. 4, 337–363. arXiv:math/0603462v3 [math.NT] 30 Apr 2007 ON FLECK QUOTIENTS Zhi-Wei Sun 1 (Nanjing) and Daqing Wan 2 (Irvine, CA) Department of Mathematics, Nanjing University Nanjing 210093, People’s Republic of China zwsun@nju ...
Zhi-Wei Sun, D. Wan
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Some results for q-poly-Bernoulli polynomials with a parameter
, 2018 The main object of this paper is to investigate a new class of the generalized q-polyBernoulli numbers and polynomials with a parameter. We give explicit formulas and a recursive method for the calculation of the q-poly-Bernoulli numbers and polynomials.
M. Mechacha +3 more
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Construction of the Type 2 Degenerate Multi-Poly-Euler Polynomials and Numbers
, 2020 In this paper, we consider a new class of polynomials which is called the multi-poly-Euler polynomials. Then, we investigate their some properties and relations.
W. Khan, M. Acikgoz, U. Duran
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