In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F 3 (·) are applied, and several new image formulas of generalized Lommel–Wright ...

Integrals involving highly oscillatory Bessel functions are notoriously challenging to compute using conventional integration techniques. While several methods are available, they predominantly cater ...

The FORTRAN II source language [1, 2] places rather severe restrictions on the form a subscript may take, primarily because of the manner in which indices are incremented in iterative loops. In the ...

Cognitive functioning affects how people think and their ability to remember things. Impairment in this area of brain health may cause a decline in how someone responds to their environment mentally ...

Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind ...

The Bessel beam, with a significant depth of field and self-healing characteristics, has been applied in widespread applications, including quantum entanglement, underwater 3D imaging, optical ...

Though current feedback operational amplifiers (CFOAs) are still less common in educational circles and technical literature than voltage feedback operational amplifiers (VFOAs or VFAs), they have ...

Find out why backpropagation and gradient descent are key to prediction in machine learning, then get started with training a simple neural network using gradient descent and Java code. Most ...