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, ...

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 ...

The leading asymptotic behaviour of the Humbert functions Φ2, Φ3, Ξ2 of two variables is found, when the absolute values of the two independent variables become simultaneously large. New integral r ...

Abstract: The Wright function, which arises in the theory of the space-time fractional diffusion equation, is an interesting mathematical object which has diverse connections with other special and ...

ABSTRACT: Hypergeometric functions have been increasingly present in several disciplines including Statistics, but there is much confusion on their proper uses, as well as on their existence and ...

Let $(a_1, \ldots, a_p)$ and $(b_1, \ldots, b_q)$ be two vectors of real or complex numbers, possibly empty, $\alpha > 0$ and $X$ a real symmetric or a complex ...

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] ...