Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

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 ...

We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two form in essence an annotated table of the main evaluation and ...

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 ...

Abstract: Application of hypergeometric functions to analysis of linear, cascaded, identical fourpoles is investigated. Expressions for iterated network functions are derived in terms of this class of ...

Hypergeometric functions are generalized from transcendental functions. The function and series we use in quantitative economics can be evaluated analytically and expressed in form of hypergeometric ...

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

The principle aim of this research article is to investigate the properties of k-fractional integration introduced and defined by Mubeen and Habibullah [1],and secondly to solve the integral equation ...

We have some implementations of hypergeometric functions in the Math library (and more to come), that would be good to expose: 2F1: gradients partially implemented (Expand grad_2F1 to calculate ...