Results 21 to 30 of about 1,847 (220)
Associated Legendre Polynomials and Spherical Harmonics Computation for Chemistry Applications [PDF]
, 2014 The 40th Congress on Science and Technology of Thailand (STT40)
Limpanuparb, Taweetham, Milthorpe, Josh
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Ring-Shaped Potential and a Class of Relevant Integrals Involved Universal Associated Legendre Polynomials with Complicated Arguments [PDF]
Advances in High Energy Physics, 2017 We find that the solution of the polar angular differential equation can be written as the universal associated Legendre polynomials. Its generating function is applied to obtain an analytical result for a class of interesting integrals involving ...
Wei Li, Chang-Yuan Chen, Shi-Hai Dong
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Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
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Harmonic analysis of little $q$-Legendre polynomials [PDF]
, 2022 Many classes of orthogonal polynomials satisfy a specific linearization property giving rise to a polynomial hypergroup structure, which offers an elegant and fruitful link to Fourier analysis, harmonic analysis and functional analysis. From the opposite
Kahler, Stefan, Stefan Kahler
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Associated Conformable Fractional Legendre Polynomials
Journal of Physics: Conference Series, 2021 Abstract Along with the work of Abul-Ez et al. [37], we introduce the associated conformable fractional Legendre polynomials (ACFLPs), from which the fractional differential equation of ACFLPs is established. Subsequently, some of interesting properties are derived such as generating function, hypergeometric representation, analytical ...
Haifa Shihab, Thair Younis Al-khayat
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The Legendre Polynomials Associated with Bernoulli, Euler, Hermite and Bernstein Polynomials [PDF]
Turkish Journal of Analysis and Number Theory, 2016 In the present paper, we deal mainly with arithmetic properties of Legendre polynomials by using their orthogonality property. We show that Legendre polynomials are proportional with Bernoulli, Euler, Hermite and Bernstein polynomials.
Araci, Serkan +3 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Solving Fractional Gas Dynamics Equation Using Müntz–Legendre Polynomials [PDF]
, 2023 To solve the fractional gas dynamic equation, this paper presents an effective algorithm using the collocation method and Müntz-Legendre (M-L) polynomials.
Haifa Bin Jebreen, Carlo Cattani
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Müntz linear transforms of Brownian motion [PDF]
, 2014 We consider a class of Volterra linear transforms of Brownian motion associated to a sequence of Müntz Gaussian spaces and determine explicitly their kernels; the kernels take a simple form when expressed in terms of Müntz-Legendre polynomials. These are
Wu, Ching-Tang, Alili, Larbi
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Multiplication polynomials and relative Manin-Mumford [PDF]
, 2015 After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is $(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
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