1 Department of Mathematics and Statistics, Université de Moncton, Moncton, Canada. 2 The Applied Multivariate Research Group, Université de Moncton, Moncton, Canada. 3 Department of Mathematics and ...

The hypergeometric function is a solution of the hypergeometric differential equation, and is known to be expressed in terms of the Riemann-Liouville fractional derivative (fD) ([1] , p. 334). By the ...

This is Euler's hypergeometric differential equation. The hypergeometric function known also as Gauss' function is defined by the hypergeometric series \begin ...

Few special functions in Julia. Includes Clausen function, Coulomb wave functions, Debye function, Fresnel functions, Struve function, Hypergeometric functions, Confluent hypergeometric functions, ...

This is a preview. Log in through your library . Abstract In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different ...

I would like to point out a necessary correction in the implementation of the Hypergeometric function in your codebase. Currently, the recurrence relation for the series term is written as: Cj1 = Cj * ...

Abstract: This paper introduces a new set of orthogonal moments function hypergeometric based on the discrete Legendre polynomials. The Legendre moments can be effectively used as pattern features in ...

Hypergeometric function theory and Feynman Integral calculus go hand in hand. A series of recent investigations that culminated in the construction of several Mathematica packages that are based on ...

An integral representation for the generalized hypergeometric function unifying known representations via generalized Stieltjes, Laplace, and cosine Fourier transforms is found. Using positivity ...