Connections within the group of Struve functions and with other function groups

Representations through more general functions

The Struve functions and are particular cases of the more general hypergeometric and Meijer G functions.

For example, they can be represented through regularized hypergeometric functions :

In the cases when , the previous formulas degenerate into the following:

For general values of parameter , the Struve functions and cannot be represented through classical hypergeometric functions without restrictions on parameter :

Similar conclusion can be drawn from the following representations of the Struve functions and through generalized and classical Meijer G functions:

The first two formulas are simpler than the last two classical representations that include factors like .

Transformation inside the group (Interconnections)

The Struve functions and are connected to each other by the formulas: