Results 31 to 40 of about 726 (173)
SOLUTION OF ABEL‐TYPE HYPERGEOMETRIC INTEGRAL EQUATION
The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are proved and two forms for its solution are given.
Kilbas, A. A. +3 more
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Skeletal pathologies in extant crocodilians as a window into the paleopathology of fossil archosaurs
Abstract Crocodilians, together with birds, are the only extant relatives to many extinct archosaur groups, making them highly important for interpreting paleopathological conditions in a phylogenetic disease bracketing model. Despite this, comprehensive data on osteopathologies in crocodilians remain scarce.
Alexis Cornille +6 more
wiley +1 more source
Abel's Integral Equation as a Convolution Transform [PDF]
the first equation to be treated and solved as an integral equation, has an extensive literature, dealing on the one hand with properties of the functions involved, and on the other hand with the solution, and conditions for solubility of the equation. In the first category one might cite, in the modern spirit, the memoirs of Hardy [1, pp.
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The internal crest anatomy of Lambeosaurini (Hadrosauridae: Lambeosaurinae)
Abstract The supracranial crests of lambeosaurine hadrosaurids have long been a focus of study due primarily to their extreme morphology. The external anatomy of lambeosaurine crests is understood to be highly variable between species, but variation in their internal anatomy is less well understood.
Thomas W. Dudgeon +2 more
wiley +1 more source
Aims Tranexamic acid (TXA) stabilizes clot formation by inhibiting fibrin degradation and improves postoperative outcomes. However, rare adverse events (e.g., thrombosis, seizures) warrant dose–risk evaluation. This study examines how perioperative blood loss and transfusion practices affect TXA concentrations during paediatric scoliosis surgery ...
Paula Alexandra Sá +4 more
wiley +1 more source
Ultrasonic sensors are evaluated for their applicability in dynamic gas–liquid systems. By comparing sensor data with two independent optical reference methods, their robustness and reliability are demonstrated under varying flow conditions and tray geometries in column systems.
Niklas Breuer +2 more
wiley +1 more source
Solution of the Generalized Abel Integral Equation [PDF]
This paper presents a direct method for solving (in closed form) a generalized Abel integral equation.
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Creep properties and constitutive model of diabase in deep water conveyance tunnels
The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao +5 more
wiley +1 more source
This paper introduces a novel computational strategy for addressing challenges in approximation theory. It focuses on the use of first-kind pseudo-Chebyshev wavelet approximations and the methodology and evaluation of the error for a specific function ...
Susheel Kumar +5 more
doaj +1 more source
Product integration for the generalized Abel equation [PDF]
The solution of the generalized Abel integral equation \[ g ( t ) = ∫ 0 t { k ( t , s ) / ( t ...
openaire +2 more sources

