Comments to the book "Generalized hypergeometric series" by W. N. Bailey, collected by T. H. Koornwinder.
These are errata and comments to the book "Generalized hypergeometric series" by W. N. Bailey, published by Cambridge University Press in 1935 and reprinted by Hafner in 1972. The comments were provided by George Gasper.
On page 32, section 4.5, formula (1), the first line should skip the lower semicolon on the left-hand side.
On page 93, formula (1.3) for n = 2 yields a specific hypergeometric function identity. This leads to a Taylor series expansion at z = 1, resulting in an expression involving another hypergeometric function. This result is also mentioned in a paper by T. H. Koornwinder, where it corresponds to identity (2.5) with N = 0 and formulas (5.3), (5.4) substituted.
On page 95, section 10.4, formula (7): in the second line, replace the denominator (v + n - 1)(w + n - 1) with Γ(v + n - 1)Γ(w + n - 1); in the third line, replace Γ(v + n - 1) with (v + n - 1); in the fifth line, replace Γ(w + n - 1) with (w + n - 1).Comments to the book "Generalized hypergeometric series" by W. N. Bailey, collected by T. H. Koornwinder.
These are errata and comments to the book "Generalized hypergeometric series" by W. N. Bailey, published by Cambridge University Press in 1935 and reprinted by Hafner in 1972. The comments were provided by George Gasper.
On page 32, section 4.5, formula (1), the first line should skip the lower semicolon on the left-hand side.
On page 93, formula (1.3) for n = 2 yields a specific hypergeometric function identity. This leads to a Taylor series expansion at z = 1, resulting in an expression involving another hypergeometric function. This result is also mentioned in a paper by T. H. Koornwinder, where it corresponds to identity (2.5) with N = 0 and formulas (5.3), (5.4) substituted.
On page 95, section 10.4, formula (7): in the second line, replace the denominator (v + n - 1)(w + n - 1) with Γ(v + n - 1)Γ(w + n - 1); in the third line, replace Γ(v + n - 1) with (v + n - 1); in the fifth line, replace Γ(w + n - 1) with (w + n - 1).