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 ...

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

ABSTRACT: Let s and z be complex variables, Γ(s) be the Gamma function, and for any complex v be the generalized Pochhammer symbol. Wright Type Hypergeometric Function is defined (Virchenko et al. [1] ...

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 ...

ABSTRACT: Let s and z be complex variables, Γ(s) be the Gamma function, and for any complex v be the generalized Pochhammer symbol. Wright Type Hypergeometric Function is defined (Virchenko et al. [1] ...

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

The connection between functions of hypergeometric type and representations of certain Lie algebras is exploited by classifying the irreducible representations of the corresponding local Lie groups.

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 * ...

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 ...