I don't think it's that crazy to wish for emailed invoices from a payment processor. Unlike the examples you provide, it's a pretty natural and easy add-on to such a service which many providers (eg, PayPal, Square) do.
PayPal and Square are user facing companies. Stripe is currently strictly a developer facing company (I mean look at their home page, they have code samples!).
Stripe provides hooks that allow you to easily send your own invoices--that's a developer friendly feature that maintains flexibility (everyone will want invoices to work differently).
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I don't think it's that crazy to wish for emailed invoices from a payment processor. Unlike the examples you provide, it's a pretty natural and easy add-on to such a service which many providers (eg, PayPal, Square) do.
PayPal and Square are user facing companies. Stripe is currently strictly a developer facing company (I mean look at their home page, they have code samples!).
Stripe provides hooks that allow you to easily send your own invoices--that's a developer friendly feature that maintains flexibility (everyone will want invoices to work differently).