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Rate-Splitting-Based RF-UWOC Relaying Systems with Hardware Impairments and Interference. [PDF]

Entropy (Basel)
Huang X, Su Y, Qiu Y, Tang X, Li S.
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Factorization Method and Special Orthogonal Functions

International Journal of Theoretical Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Motavalli, Amin Rezaei Akbarieh
exaly   +3 more sources

Special functions and orthogonal polynomials

2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 2022
YICHUN ZHAO, Zhuohui Zhang
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Orthogonal Polynomials and Special Functions

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Special Functions and Orthogonal Polynomials

2016
The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results.
Richard Beals, Roderick Wong
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Generating functions and a family of special orthogonal polynomials

Integral Transforms and Special Functions, 2017
ABSTRACTIn this paper, we use quadratic decomposition to develop a method for constructing generating functions for orthogonal polynomials {Bn}n≥0 verifying the three-term recurrence relation with βn=(−1)nc, c∈C. As application, we can deduce explicitly the expression for the generating function B(x,t)=∑n=0+∞anBn(x)tn in some well-known semiclassical ...
M. Sghaier, A. Khlifi
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Notes on special systems of orthogonal Functions (III): A System of orthogonal polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1940
Generalities. Suppose thatis real and L2(0, ∞), that is its Mellin transform, and that Then K(1)(x) generates a “Watson transformation”, with a “Fourier theorem”valid for every F(x) of L2(0, ∞).
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Computation of special functions by Padé approximants with orthogonal polynomial denominators

Numerical Algorithms, 1996
This paper deals with three large families of special functions having continued fraction (Padé approximant) representations with three key properties: (a) the approximants converge rapidly; (b) the backward recurrence algorithm for computing the approximants is reasonably stable, and (c) one can compute the exact number of significant decimal digits ...
Cathleen M. Craviotto, William B. Jones, W. J. Thron, Nancy J. Wyshinski   +3 more
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Lectures on Orthogonal Polynomials and Special Functions

2020
Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students.
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Some special functions related to unimodular pseudo-orthogonal groups

Banach Center Publications, 2011
We obtain some matrix elements of basis transformations in a space of representation of the unimodular pseudo-orthogonal group. Using these elements, we derive some formulas for special functions.
Alexander Nizhnikov, Ilya Shilin
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