Results 51 to 60 of about 6,156 (296)
Sums of finite products of Legendre and Laguerre polynomials
Advances in Difference Equations, 2018 In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them.
Taekyun Kim +3 more
doaj +1 more source
The Anatomical Record, EarlyView.Abstract A recent debate has emerged between Caspar et al. (2024) and Herculano‐Houzel (2023) on inferring extinct dinosaur cognition by estimating brain neuron counts. While thought‐provoking, the discussion largely overlooks the function of cognition, as well as partly neglects the difficulties involved in estimating neuron numbers, which according ...
Thomas Rejsenhus Jensen +7 more
wiley +1 more source
On Legendre functions of imaginary degree and associated integral transforms [PDF]
, 2003 New integral representations, asymptotic formulas, and series expansions in powers of tanh(t/2) are obtained for the imaginary and real parts of the Legendre function Piξ(cosht).
Malits, P.
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The Anatomical Record, EarlyView.Abstract Last year, we challenged the view that large‐bodied theropod dinosaurs such as Tyrannosaurus rex resembled primates in cognition and behavior, a proposition made by Herculano‐Houzel in 2023. More recently, Jensen et al. have criticized our work on this topic, raising methodological and conceptual issues.
Kai R. Caspar +5 more
wiley +1 more source
Coherent and incoherent superposition of transition matrix elements of the squeezing operator
New Journal of Physics, 2022 We discuss the general matrix elements of the squeezing operator between number eigenstates of a harmonic oscillator (which may also represent a quantized mode of the electromagnetic radiation).
Sándor Varró
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Osteohistology of two phorusrhacids reveals uninterrupted growth strategy
The Anatomical Record, EarlyView.Abstract Phorusrhacidae were apex predators that primarily dominated South America ecosystems for at least 40 million years with their imposing size and predatory lifestyle—yet some aspects of their biology remain poorly understood. Osteohistology is a tool for understanding growth dynamics and biomechanical adaptations.
Lotta Dreyer +2 more
wiley +1 more source
The Anatomical Record, EarlyView.Abstract Phylogenetic comparative methods have been used in recent literature to work with laws and test for regularities (evolutionary associations of quantitative features) and evolutionary singularities (features that evolved in a single taxon). We analyzed these uses epistemologically, taking the evolution of red‐blood‐cell mean corpuscular volume (
Jorge Cubo +3 more
wiley +1 more source
An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems
Abstract and Applied Analysis, 2013 This paper gives a robust pseudospectral scheme for solving a class of nonlinear optimal control problems (OCPs) governed by differential inclusions. The basic idea includes two major stages.
Emran Tohidi +3 more
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Table of fourier coefficients of associated legendre functions
Indagationes Mathematicae (Proceedings), 1960 No abstract.
Hofsommer, D.J., Potters, M.L.
openaire +3 more sources
New Relations Among Associated Legendre Functions and Spherical Harmonics [PDF]
, 2005 Several new relations among associated Legendre functions (ALFs) are derived, most of which relate a product of an ALF with trigonometric functions to a weighted summation over ALFs, where the weights only depend on the degree and order of the ALF. These
Claessens, Sten
core +1 more source