Revision as of 08:33, 7 November 2023 edit Kku (talk \| contribs) Extended confirmed users 121,760 edits m link [pP]ower series ← Previous edit		Revision as of 15:25, 3 August 2024 edit undo R. J. Mathar (talk \| contribs) Extended confirmed users 1,189 edits →Application to continued fractions: reference for cont'd fractions Next edit →
Line 217: ==Application to continued fractions== By applying a limiting argument to [[Gauss's continued fraction]] it can be shown that<ref>{{cite journal\|first1=Evelyn\|last1=Frank \| year=1956\|title=A new class of continued fraction expansions for the ratios of hypergeometric functions\| journal=Trans. Am. Math. Soc.\|volume=81\|number=2\|pages=453-476\|mr= 0076937\|jstor=1992927\|doi=10.1090/S0002-9947-1956-0076937-0}}</ref> :<math>\frac{M(a+1,b+1,z)}{M(a,b,z)} = \cfrac{1}{1 - \cfrac{{\displaystyle\frac{b-a}{b(b+1)}z}}

Confluent hypergeometric function: Difference between revisions