Theorems · Theorem · integral transforms
hasMellin_cpow_Ioc
∀ (a : ℂ) {s : ℂ}, 0 < s.re + a.re → HasMellin ((Set.Ioc 0 1).indicator fun t => ↑t ^ a) s (1 / (s + a))The Mellin transform of a power function restricted to Ioc 0 1.
- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- Complex.ofRealstatement and proof · cited by 1,654
- Set.Iocstatement and proof · cited by 971
- Complex.restatement and proof · cited by 882
- Set.indicatorstatement and proof · cited by 723
- mellinproof · cited by 33
- Complex.add_reproof · cited by 22
- MellinConvergentproof · cited by 14
- HasMellinstatement and proof · cited by 7
- hasMellin_one_Iocproof · cited by 1
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