Two Great Theorems of Lord Brouncker and His Formula(f b(s-1)b(s+1)={f s}^2 , {f b(s)=s}+frac{1^2}{2{f s} + frac{3^2}{2{f s} + frac{5^2}{2{f s} +_{ddots}}}}(1))
β Scribed by Sergey Khrushchev
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 832 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0343-6993
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π SIMILAR VOLUMES
A summation formula is given for 3Fz(a,b,c; Β½(a + b +i+ 1),2c +j; 1) with fixed j and arbitrary i (i, jE71). This result generalizes the classical Watson's theorem which deals with the case i =j = 0. Extensions to the cases of 3F2(a, 1 + i + j -a, c; e, 1 + i + 2c -e; 1 ), and 3Fz(a, b, c; 1 + i +
A&fracfi The preparation of compound 1, a conformational study in solution and the unexpectedly facile rearrangement into 2 via photochemical intramolecular [2+2]cycloaddition is described: the structure of these compounds have been investigated by IWR and X-ray diffractioa.