A method for fractional Volterra integro-differential equations by Laguerre polynomials [PDF]
Advances in Difference Equations, 2018 The main purpose of this study is to present an approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic
Dilek Varol Bayram +1 more
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The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations. [PDF]
J Comput Nonlinear Dyn, 2013 Khader MM.
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Rician Likelihood Loss for Quantitative MRI With Self-Supervised Deep Learning. [PDF]
NMR BiomedWe introduce a numerically accurate and stable negative log Rician (NLR) likelihood loss for quantitative MR imaging with self‐supervised deep learning. Self‐supervised neural networks trained with the NLR loss have reduced bias in intra‐voxel incoherent motion diffusion coefficient at low signal‐to‐noise ratio (SNR) compared to the traditional mean ...
Parker CS +5 more
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New extensions of associated Laguerre polynomials [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.
Ahmed Ali Al-Gonah
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Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind
Applied Mathematics in Science and Engineering, 2022 In this paper, we introduce partially degenerate Laguerre–Bernoulli polynomials of the first kind and deduce some relevant properties by using a preliminary study of these polynomials.
Waseem A. Khan +2 more
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The Extended Laguerre Polynomials Aq,nαx Involving Fqq,q>2
Journal of Function Spaces, 2022 In this paper, for the proposed extended Laguerre polynomials Aαq,nx, the generalized hypergeometric function of the type Fqq,q>2 and extension of the Laguerre polynomial are introduced.
Adnan Khan +3 more
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A Note on the Laguerre-Type Appell and Hypergeometric Polynomials
Mathematics, 2022 The Laguerre derivative and its iterations have been used to define new sets of special functions, showing the possibility of generating a kind of parallel universe for mathematical entities of this kind.
Paolo Emilio Ricci, Rekha Srivastava
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A note on degenerate generalized Laguerre polynomials and Lah numbers
Advances in Difference Equations, 2021 The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomials and Lah numbers, including an explicit ...
Taekyun Kim +4 more
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Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family
Fractal and Fractional, 2022 The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
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Some relations on Humbert matrix polynomials [PDF]
Mathematica Bohemica, 2016 The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
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