Results 21 to 30 of about 956 (98)
Construction a new generating function of Bernstein type polynomials
, 2010 Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties this generating functions are given.
Simsek, Yilmaz
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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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, 2017 In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and the inversion formulas of binomial numbers and the Stirling numbers of the first and second kinds, the authors simplify meaningfully and ...
Feng Qi (祁锋) +2 more
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INTERPOLATION FUNCTION OF THE GENOCCHI TYPE POLYNOMIALS [PDF]
, 2010 The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Burak Kurt, Y. Simsek
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Proof of a congruence for harmonic numbers conjectured by Z.-W. Sun
, 2012 For a positive integer $n$ let $H_n=\sum_{k=1}^{n}1/k$ be the $n$th harmonic number. In this note we prove that for any prime $p\ge 7$, $$ \sum_{k=1}^{p-1}\frac{H_k^2}{k^2} \equiv4/5pB_{p-5}\pmod{p^2}, $$ which confirms the conjecture recently ...
Mestrovic, Romeo
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Two new explicit formulas for the Bernoulli Numbers
, 2019 In this brief note, we give two explicit formulas for the Bernoulli Numbers in terms of the Stirling numbers of the second kind, and the Eulerian Numbers. To the best of our knowledge, these formulas are new.
Jha, Sumit Kumar
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Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials
, 2014 In this paper, a further investigation for the Apostol-Bernoulli and 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 established
Yuan He, S. Araci
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A study on a type of degenerate poly-Dedekind sums
Demonstratio MathematicaDedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing ...
Ma Yuankui +4 more
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Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials
Alexandria Engineering Journal, 2021 This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense. We present a new technique using the clique polynomial as basis function for the operational matrices to obtain solution of time-FKGE.
R.M. Ganji +3 more
doaj
Differential equations for the extended 2D Bernoulli and Euler polynomials
, 2013 In this paper, we introduce the extended 2D Bernoulli polynomials by tα(et−1)αcxt+ytj=∑n=0∞Bn(α,j)(x,y,c)tnn! and the extended 2D Euler polynomials by 2α(et+1)αcxt+ytj=∑n=0∞En(α,j)(x,y,c)tnn!, where c>1.
Banu Yilmaz, M. A. Özarslan
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