Results 21 to 30 of about 2,196 (186)
AIMS MathematicsIn this paper, we employed the $ q $-Bessel Tricomi functions of zero-order to introduce bivariate extended $ q $-Laguerre-based Appell polynomials. Then, the bivariate extended $ q $-Laguerre-based Appell polynomials were established in the sense of ...
Mohra Zayed +3 more
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Some Identities on Laguerre Polynomials in Connection with Bernoulli and Euler Numbers
Discrete Dynamics in Nature and Society, 2012 We study some interesting identities and properties of Laguerre polynomials in connection with Bernoulli and Euler numbers. These identities are derived from the orthogonality of Laguerre polynomials with respect to inner product ∫⟨𝑓,𝑔⟩=∞0𝑒−𝑥2𝑓(𝑥)𝑔(𝑥)𝑑𝑥.
Dae San Kim +2 more
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Fractional Generalizations of Rodrigues-Type Formulas for Laguerre Functions in Function Spaces
Mathematics, 2021 Generalized Laguerre polynomials, Ln(α), verify the well-known Rodrigues’ formula. Using Weyl and Riemann–Liouville fractional calculi, we present several fractional generalizations of Rodrigues’ formula for generalized Laguerre functions and polynomials.
Pedro J. Miana, Natalia Romero
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Laguerre-type Bell polynomials
International Journal of Mathematics and Mathematical Sciences, 2006 We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite ...
P. Natalini, P. E. Ricci
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Journal of King Saud University: Engineering Sciences, 2000 Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
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Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
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A direct Approximation Method to solve OCP Using Laguerre Functions [PDF]
Kirkuk Journal of Science, 2006 This paper presents an approximate method to solve unconstrained optimal control problem (OCP).This method is classified as a direct method in which an OCP is converted into a mathematical programming problem.The proposed direct method is employed by ...
Omar M. Al-Faour and Suha N. Al-Rawi +1 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Financial Statement Information and Equity Value: The Role of Real Options Characteristics
Financial Management, EarlyView.ABSTRACT This paper examines whether firm‐specific real options characteristics are equity value‐relevant beyond valuation estimates anchored in financial statements. Using extensive historical data for the United Kingdom, we assess and compare the forecast accuracy and explanatory power for stock prices of equity valuation models based on residual ...
Mingyu (Chandler) Chen +2 more
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Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 204-219, January 2026.Abstract Purpose Rotational invariants (RIs) are at the root of many dMRI applications. Among others, they are presented as a sensible way of reducing the dimensionality of biophysical models. While thermal noise impact on diffusion metrics has been well studied, little is known on its effect on spherical harmonics‐based RI (RISH) features and derived ...
Guillem París +5 more
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