Results 31 to 40 of about 383 (66)
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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Analytic Continuation of weighted q-Genocchi numbers and polynomials
, 2012 In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet +2 more
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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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, 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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Unified (p,q)-analog of Aspostol type polynomials of order α
, 2018 2010 Mathematics( ) Subject Classification. Primary 11B68; Secondary 05A30, 11B73 Keywords. p, q -calculus; Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Apostol-Genocchi polynomials; Stirling numbers of second kind; Generating function ...
U. Duran, M. Acikgoz, S. Araci
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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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Some thoughts concerning power sums
, 2015 In this note we present an elementary way to derive directly closed-form expressions for power sums. Applying this method, we deduce some general results on power sums with arbitrary exponents.
Gábor Nyul
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A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers
, 2020 Inspired by the de nition of degenerate multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential functions. In this paper, we consider a class of new generating function for the degenerate multi-poly-Bernoulli polynomials ...
W. Khan, Aysha Khan, U. Duran
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Fourier series of functions involving higher-order ordered Bell polynomials
Open Mathematics, 2017 In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun +3 more
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