Meaning of 有り難う in Japanese

Definition of 有り難う

ありがとう(arigatou) 【有り難う ·有難う】

(int) Thank you; Thanks →Related words: 有り難い , 有り難うございます
ありがとう。また、次の日にくるようにします。
Thanks. Maybe we'll come back.

ありがとうございます(arigatougozaimasu) 【有難うございます ·有り難うございます ·有り難う御座います】

まいどありがとうございます(maidoarigatougozaimasu) 【毎度ありがとうございます ·毎度有難うございます ·毎度有り難うございます】

有り難うありがとう、どうぞ頼みます。

Thank you. Please do.

Thank you very much for everything. He wrote it down lest he should forget it.

I've had enough, thank you.

It was very kind of you to lend me an umbrella.

It was very kind of you to give me a nice gift.