Riemann P-Series
المؤلف:
Morse, P. M. and Feshbach, H
المصدر:
Methods of Theoretical Physics, Part I. New York: McGraw-Hill
الجزء والصفحة:
...
18-6-2019
1950
Riemann P-Series
The solutions to the Riemann P-differential equation are known as the Riemann 
-series, or sometimes the Riemann 
-function, given by
 |
(1)
|
Solutions are given in terms of the hypergeometric function by
where
 |
(6)
|
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). "Riemann's Differential Equation." §15.6 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 564-565, 1972.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 541-543, 1953.
Riemann, B. Abh. d. Ges. d. Wiss. zu Göttingen 7, 1857. Reprinted in Mathematisch Werke, p. 67, 1892.
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, pp. 283-284, 1990.
Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 414, 1995.
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