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 ...
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 ...
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 ...
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] ...
Few special functions in Julia. Includes Clausen function, Coulomb wave functions, Debye function, Fresnel functions, Struve function, Hypergeometric functions, Confluent hypergeometric functions, ...
Some special cases of the generalized hypergeometric function q +1 F q with rational numbers as parameters are given in tabular form. These results complement existing tables. Some analytical aspects ...
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 ...
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