De integralibus quibusdam definitis et seriebus infinitis.

  title={De integralibus quibusdam definitis et seriebus infinitis.},
  author={Ernst Eduard Kummer},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  pages={228 - 242}
  • E. Kummer
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
. 1.2 a. β « ._ _ d. l— JT^H -fTT^i E2.3.X» ·" ----lade earutn serierum transforraationes loco citato inventae hoc modo ex hiberi possunt: 4. <Ρ(α,β,*) = <?. φ(β— α, β, *), 5. ψ (α, a?) = β±·*?)(α— ϊ,2α— 1,±4/·*), quae formula eadem est ac 6. <P(a,2a,*) = βΙψ(α+1, et • / n \ xli(3—cc — l)/-., n ι Λ \ ι a^ fa — / 7. xte »*) = n(^-i) Φ(^>«— +l^) + -nn^i Quibus praeparatis primum quaeationem instituam de integral! » — 8. γ — ί u«-.e~.e~^ du, t/0 ex quo eequitur * °° * w-. e~. i^ du, doc o < 0 

On the zeros of certain confluent hypergeometric functions

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Consider the function defined for \(\alpha _{1},\ \alpha _{2} \in \mathbb{R}\) (α 1 2 +α 2 2 ≠ 0) and \(\beta _{1},\beta _{2} \in \mathbb{C}\) by the series $$\displaystyle{ E_{\alpha _{1},\beta

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Gosta Magnus Mittag-Leffler was born on March 16, 1846, in Stockholm, Sweden. His father, John Olof Leffler, was a school teacher, and was also elected as a member of the Swedish Parliament. His

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