Dougall%20bilateral%20sum
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11: 17.7 Special Cases of Higher Functions
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Sum Related to (17.6.4)
… βΊ-Pfaff–Saalschütz Sum
… βΊF. H. Jackson’s -Analog of Dougall’s Sum
… βΊGasper–Rahman -Analogs of the Karlsson–Minton Sums
… βΊGosper’s Bibasic Sum
…12: 36 Integrals with Coalescing Saddles
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13: GergΕ Nemes
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βΊAs of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions.
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14: Wolter Groenevelt
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βΊAs of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials.
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15: 33.24 Tables
16: 17.8 Special Cases of Functions
§17.8 Special Cases of Functions
… βΊRamanujan’s Summation
… βΊBailey’s Bilateral Summations
… βΊSum Related to (17.6.4)
… βΊFor similar formulas see Verma and Jain (1983).17: 17.1 Special Notation
§17.1 Special Notation
… βΊThe main functions treated in this chapter are the basic hypergeometric (or -hypergeometric) function , the bilateral basic hypergeometric (or bilateral -hypergeometric) function , and the -analogs of the Appell functions , , , and . … βΊ18: 27.15 Chinese Remainder Theorem
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βΊTheir product has 20 digits, twice the number of digits in the data.
…These numbers, in turn, are combined by the Chinese remainder theorem to obtain the final result , which is correct to 20 digits.
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19: William P. Reinhardt
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βΊIn November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.