Results 31 to 40 of about 726 (173)

SOLUTION OF ABEL‐TYPE HYPERGEOMETRIC INTEGRAL EQUATION

open access: yesMathematical Modelling and Analysis, 1997
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
openaire   +4 more sources

Skeletal pathologies in extant crocodilians as a window into the paleopathology of fossil archosaurs

open access: yesThe Anatomical Record, EarlyView.
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]

open access: yesProceedings of the American Mathematical Society, 1956
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.
openaire   +1 more source

The internal crest anatomy of Lambeosaurini (Hadrosauridae: Lambeosaurinae)

open access: yesThe Anatomical Record, EarlyView.
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

Understanding the influence of transfusion and blood loss on tranexamic acid concentration in scoliosis surgery with blood loss

open access: yesBritish Journal of Clinical Pharmacology, EarlyView.
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

Application of Ultrasonic Sensors for Determining the Height of Dynamic Two‐Phase Layers in Tray Columns

open access: yesChemie Ingenieur Technik, EarlyView.
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]

open access: yesJournal of Integral Equations and Applications, 2008
This paper presents a direct method for solving (in closed form) a generalized Abel integral equation.
openaire   +3 more sources

Creep properties and constitutive model of diabase in deep water conveyance tunnels

open access: yesDeep Underground Science and Engineering, EarlyView.
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

An error estimation of absolutely continuous signals and solution of Abel’s integral equation using the first kind pseudo-Chebyshev wavelet technique

open access: yesFranklin Open
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]

open access: yesMathematics of Computation, 1972
The solution of the generalized Abel integral equation \[ g ( t ) = ∫ 0 t { k ( t , s ) / ( t ...
openaire   +2 more sources

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