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franciscus

The Superfast Mailgun add-on for the <a href="https://wordpress.org/plugins/newsletter/" rel="ugc">Newsletter</a> plugin allows you to take full advantage of the Mailgun “Batch Send” API. This makes it possible to send a newsletter to up to 1,000 addresses in a single API call.
For 10,000 subscribers, that’s 10 API calls instead of 10,000 calls. Quite a difference. It will take a lot less time to send out your newsletter.
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Sends newsletters to up to 1,200 subscribers per hour.
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Polls Mailgun for “bounces” and updates your mailing list accordingly.
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Support by email or through the forum on wordpress.org
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Note: 
Filters ‘newsletter_message_html’, ‘newsletter_message_text’, ‘newsletter_message_subject’ and ‘newsletter_message’ are called only once per email, and receive a null $user parameter. This is because Mailgun takes care of replacing user-specific tags in the email. 
Note that the Newsletter plugin has deprecated filters ‘newsletter_message_html’, ‘newsletter_message_text’ and ‘newsletter_message_subject’ in favour of ‘newsletter_message’.When they are removed, this addon will stop using them as well.
<h3>Pro version</h3>
For mailing lists with more than 1,000 subscribers, get the <a href="http://howfrankdidit.com/superfast-newsletters-with-mailgun" rel="nofollow ugc">Pro version</a>!
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Sends up to 120,000 emails / hour
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Integrated Open/Click statistics (Requires the Newsletter Statistics add-on)
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Selectable polling frequency
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Transactional emails (e.g. Welcome email, subscription confirmation) can use a different route, e.g. using a different domain
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Priority email support
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You can easily upgrade from within your WordPress dashboard.

Superfast Mailgun for the Newsletter plugin

A faster Mailgun add-on for The Newsletter Plugin. Very useful if you have a big mailing list.

EngineThemes

Developed by <a href="http://enginethemes.com/" rel="nofollow ugc">EngineThemes</a>, ET Mailing supports Mandrill and Mailgun – the two famous transaction email services, ET Mailing helps you to send, receive, track and store emails effortlessly. The emails will have a better chance of appearing in the inbox and if there’s something wrong, you’ll be informed. You’ll always know what has happened to every email.
Once ET Mailing is activated, you can easily find it in your dashboard and start setting it up. You can decide the information being displayed in your email as well as enable some features to get the records. The system will keep track how many people have opened your email and whether they click the links on your emails.
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ET Mailing

Integrated with Mandrill and Mailgun, ET Mailing helps you to send, receive and track emails effortlessly

Superfast Mailgun for the Newsletter plugin vs ET Mailing