Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials by Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu

“…On choosing 𝑥=1, 𝑦=2, we get the incomplete generalized Jacobsthal number and besides for 𝑝=1 the incomplete generalized Jacobsthal-Lucas numbers. …”
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Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block-Pulse Functions for Solving a System of Fractional Differential Equations by Abdulqawi A. M. Rageh, Adel R. Hadhoud

“…This paper develops two numerical methods for solving a system of fractional differential equations based on hybrid shifted orthonormal Bernstein polynomials with generalized block-pulse functions (HSOBBPFs) and hybrid shifted orthonormal Legendre polynomials with generalized block-pulse functions (HSOLBPFs). …”
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A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method by Khaled Moaddy, Mohammed AL-Smadi, Ishak Hashim

“…We implement a relatively new analytic iterative technique to get approximate solutions of differential algebraic equations system based on generalized Taylor series formula. The solution methodology is based on generating the residual power series expansion solution in the form of a rapidly convergent series with easily computable components. …”
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Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm by M. L. Mittal, Mradul Veer Singh

“…We extend two theorems on summability matrix Np of Deger et al. (2012) where they have extended two theorems of Chandra (2002) using Cλ-method obtained by deleting a set of rows from Cesàro matrix C1. Our theorems also generalize two theorems of Leindler (2005) to Np-matrix which in turn generalize the result of Chandra (2002) and Quade (1937).…”
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Quadrupole formulae with cosmological constant: comparison by Denis Dobkowski-Ryłko, Jerzy Lewandowski

“…It is shown that up to the first order all three of the generalizations of the quadrupole formula agree.…”
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Conditional Random Fields and Supervised Learning in Automated Skin Lesion Diagnosis by Paul Wighton, Tim K. Lee, Greg Mori, Harvey Lui, David I. McLean, M. Stella Atkins

“…Many subproblems in automated skin lesion diagnosis (ASLD) can be unified under a single generalization of assigning a label, from an predefined set, to each pixel in an image. …”
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Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable by Najla M. Alarifi, Rabha W. Ibrahim

“…Saint-Venant equations describe the flow below a pressure surface in a fluid. We aim to generalize this class of equations using fractional calculus of a complex variable. …”
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Influence of Spiral Angle on the Performance of Spiral Oil Wedge Sleeve Bearing by Li-li Wang, Qing-liang Zeng, Xin Zhang

“…Based on JFO boundary condition, the generalized Reynolds equations considering four slip conditions are established. …”
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Immunization of Cooperative Spreading Dynamics on Complex Networks by Jun Wang, Shi-Min Cai, Tao Zhou

“…Finally, all numerical simulations can be well predicted by the generalized percolation theory.…”
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New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces by Nassar Aiman Majid, Alaa. M. F. AL. Jumaili, Zhen Chuan Ng, See Keong Lee

“…The first objective of the present manuscript is to introduce the notion of complex-valued Dc∗-metric spaces as generalizing and improving the idea of D∗-metric spaces by using the context of complex-valued metric space and D∗-metric spaces. …”
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The Equivalence of Convergence Results of Modified Mann and Ishikawa Iterations with Errors without Bounded Range Assumption by Zhiqun Xue, Yaning Wang, Haiyun Zhou

“…Let E be an arbitrary uniformly smooth real Banach space, let D be a nonempty closed convex subset of E, and let T:D→D be a uniformly generalized Lipschitz generalized asymptotically Φ-strongly pseudocontractive mapping with q∈F(T)≠∅. …”
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THE IMPACT OF BOARD STRUCTURE ON FINANCIAL LEVERAGE OF VIETNAMESE LISTED FIRMS by Hoàng Mai Phương, Nguyễn Thanh Hồng Ân

“…A robust test using the system of generalized method of moments (GMM) to control for endogeneity generally confirms the results.…”
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A Practical Approach to Excessive Daytime Sleepiness: A Focused Review by Brian J. Murray

“…Initial steps in management are generally straightforward and only the most advanced cases would require referral to a subspecialist. …”
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A Bullet in the Supraspinatus Compartment Successfully Removed by Arthroscopy: Case Report and Review of the Literature by Alexandre Galland, Alexandre Lunebourg, Stéphane Airaudi, Renaud Gravier

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Entrapment of a Dormia Basket in the Cystic Duct: Case Report by Dario Pariani, Giorgio Zetti, Ferdinando Cortese

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Bessel Transform of -Bessel Lipschitz Functions by Radouan Daher, Mohamed El Hamma

“…Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .…”
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An asymptotic expansion for a ratio of products of gamma functions by Wolfgang Bühring

“…An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by Olver…”
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On the Equivalence between Two Fixed Point Theorems for Concave-Type Operators by Mohamed Jleli, Bessem Samet

“…In this note, we prove the equivalence between a fixed point theorem for φ–h,e–concave operators and a previous one for generalized concave operators.…”
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A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials by Yu, Gang

“…In this note, we investigate the $L_1$-norms of Barker polynomials and, more generally, Littlewood polynomials over the unit circle, and give improvements to some existing results.…”
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Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights by Jianjun Wang, Zuoxiang Peng, Shukai Duan, Jia Jing

“…The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.…”
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