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Arithmetic Properties of Bernoulli–Padé Numbers and Polynomials [PDF]
Journal of Number Theory, 2002 Let \(r,s\) be nonnegative integers. The authors define rational numbers \(B_n^{(r,s)}\), the \(n\)th Bernoulli-Padé numbers of order \((r,s)\), by the formula \[ \frac{(-1)^sr!s!t^{r+s+1}}{(r+s)!(r+s+1)!(Q^{(r,s)}(t)e^t- P^{(r,s)}(t))} = \sum_{n=0}^\infty B_n^{(r,s)}\frac{t^n}{n!}, \] where \(P^{(r,s)}(t)\) and \(Q^{(r,s)}(t)\) are polynomials (given ...
Dilcher, Karl, Louise, Louise
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Generalizations and Refinements of Hermite-Hadamard's Inequality [PDF]
, 2001 In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex ...
Qi, Feng, Yang, Qiao, Wei, Zong-Li
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IET Networks, EarlyView., 2022 Abstract Everything can be connected in the Internet of Things (IoTs) technology that enables efficient communication between connected objects. IoTs industry‐based meta‐heuristic and mining algorithms, which are considered an important field of Artificial Intelligence will be used to construct a healthcare application in this study for lowering costs,
Muhaned Al‐Hashimi +4 more
wiley +1 more source
Intent Arabic text categorisation based on different machine learning and term frequency
IET Networks, EarlyView., 2022 Abstract The complexity of Internet network configurations has made managing networks a complicated undertaking. Intent‐Based Networking (IBN) is a potential solution to this issue. In contrast to conventional networks, where a concrete description of the settings typically conveys a network administrator's goal kept on each device, an administrator's ...
Mohammad Fadhil Mahdi +1 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
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Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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Advances in Difference Equations, 2019 In recent years, studying degenerate versions of various special polynomials and numbers has attracted many mathematicians. Here we introduce degenerate type 2 Bernoulli polynomials, fully degenerate type 2 Bernoulli polynomials, and degenerate type 2 ...
Dae San Kim +3 more
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A Parametric Type of Cauchy Polynomials with Higher Level
Axioms, 2021 There are many kinds of generalizations of Cauchy numbers and polynomials. Recently, a parametric type of the Bernoulli numbers with level 3 was introduced and studied as a kind of generalization of Bernoulli polynomials.
Takao Komatsu
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On $q$-hypergeometric Bernoulli polynomials and numbers
Hacettepe Journal of Mathematics and Statistics, 2021 We introduce $q$-analogues of the hypergeometric Bernoulli polynomials in one and two real parameters and study several of their properties. Also we provide the inversion, the power representation, the multiplication and the addition formula for these polynomials. Classical results are recovered by limit transition.
Salifou MBOUTNGAM +1 more
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Bernoulli Related Polynomials and Numbers [PDF]
Mathematics of Computation, 1979 The polynomials φ
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