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Complex.Gamma_inv_mul_ordinaryHypergeometricSeries_eq

∀ {a b c : ℂ},
  (∀ (k : ℕ), c ≠ -↑k) →
    ∀ {n : ℕ},
      (Complex.Gamma c)⁻¹ * (ordinaryHypergeometricSeries ℂ a b c).coeff n = (a.regularizedGaussHGFunSeries b c).coeff n
Defined in
Mathlib.Analysis.SpecialFunctions.RegularizedHypergeometric
Cited by
1 results in Mathlib
Foundations
Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound
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Complex.ordinaryHypergeometric_div_Gamma_eq · cited by 0Complex.ordinaryHypergeom…Complex · cited by 5565ComplexPolynomial.eval · cited by 796Polynomial.evalNat.factorial · cited by 616Nat.factorialFormalMultilinearSeries · cited by 615FormalMultilinearSeriesComplex.Gamma · cited by 96Complex.GammaascPochhammer · cited by 80ascPochhammerFormalMultilinearSeries.coeff · cited by 30FormalMultilinearSeries.c…FormalMultilinearSeries.coeff_ofScalars · cited by 23FormalMultilinearSeries.c…ordinaryHypergeometricSeries · cited by 17ordinaryHypergeometricSer…Complex.regularizedGaussHGFunSeries · cited by 9Complex.regularizedGaussH…Complex.Gamma_add_nat_div_Gamma_eq · cited by 1Complex.Gamma_add_nat_div…Complex.coeff_regularizedGaussHGFunSeries · cited by 1Complex.coeff_regularized…Complex.Gamma_inv_mul_ordinar…CITED BYCITES

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