Results 11 to 20 of about 729 (84)
Derivative Polynomials and Closed-Form Higher Derivative Formulae [PDF]
, 2009 In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are ...
Cvijović, Djurdje
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An extension of q‐zeta function
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 49, Page 2649-2651, 2004., 2004 We will define the extension of q‐Hurwitz zeta function due to Kim and Rim (2000) and study its properties. Finally, we lead to a useful new integral representation for the q‐zeta function.
T. Kim, L. C. Jang, S. H. Rim
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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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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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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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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 identities on Bernstein polynomials associated with q-Euler polynomials [PDF]
, 2011 In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid +3 more
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Two closed forms for the Bernoulli polynomials [PDF]
, 2015 In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and numbers.Comment: 7 ...
Chapman, Robin J., Qi, Feng
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