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Berndt, Bruce C.; Joshi, Padmini T. Chapter 2 of Ramanujan's second notebook. Glasgow mathematical journal, Tome 22 (1981) no. 2, pp. 199-216. doi: 10.1017/S0017089500004675
@article{10_1017_S0017089500004675,
author = {Berndt, Bruce C. and Joshi, Padmini T.},
title = {Chapter 2 of {Ramanujan's} second notebook},
journal = {Glasgow mathematical journal},
pages = {199--216},
year = {1981},
volume = {22},
number = {2},
doi = {10.1017/S0017089500004675},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500004675/}
}
TY - JOUR AU - Berndt, Bruce C. AU - Joshi, Padmini T. TI - Chapter 2 of Ramanujan's second notebook JO - Glasgow mathematical journal PY - 1981 SP - 199 EP - 216 VL - 22 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500004675/ DO - 10.1017/S0017089500004675 ID - 10_1017_S0017089500004675 ER -
[1] 1.Aitken, A. C., On Bernoulli's numerical solution of algebaic equations, Proc. Roy. Soc. Edinburgh, Sect. A 46 (1926), 289–305. Google Scholar | DOI
[2] 2.Ayoub, R., An introduction to the analytic theory of numbers, (American Mathematical Society, Providence, 1963). Google Scholar
[3] 3.Berndt, B. C., Ramanujan's notebooks, Math. Mag. 51 (1978), 147–164. Google Scholar | DOI
[4] 4.Berndt, B. C., Chapter 14 of Ramanujan's second notebook, Enseignement Math. 26 (1980), 1–65. Google Scholar
[5] 5.Bromwich, T. J. I'a., An introduction to the theory of infinite series, second ed., (Macmillan, London, 1926). Google Scholar
[6] 6.Chrystal, G., Algebra, Part II, second ed., (A. and C. Black, London, 1922). Google Scholar
[7] 7.Glaisher, J. W. L., A theorem in trigonometry, Quart. J. Math. Oxford 15 (1878), 151–157. Google Scholar
[8] 8.Glasser, M. L. and Klamkin, M. S., On some inverse tangent summations, Fibonacci Quart. 14 (1976), 385–388. Google Scholar
[9] 9.Hadamard, J. S. et Mandelbrojt, M., La Serie de Taylor, (Gauthier-Villars, Paris, 1926). Google Scholar
[10] 10.Hansen, E. R., A table of series and products, (Prentice-Hall, Englewood Cliffs, 1975). Google Scholar
[11] 11.Henrichi, P., Applied and computational complex analysis, Vol. 1, (John Wiley & Sons, New York, 1974). Google Scholar
[12] 12.Lionnet, M., Question 1294, solution by M. A. Laisant, Nouv. Ann. Math., Ser. 2, 18 (1879), 330–332. Google Scholar
[13] 13.Loney, S. L., Plane trigonometry, Part II, (University Press, Cambridge, 1952). Google Scholar
[14] 14.Ramanujan, S., On the integral , J. Indian Math. Soc. 7 (1915), 93–96. Google Scholar
[5] 5.Ramanujan, S., On the product a, J- Indian Math. Soc. 7 (1915), 209–211. Google Scholar
[16] 16.Ramanujan, S., Question 260, J. Indian Math. Soc. 3 (1911), 43. Google Scholar
[17] 17.Ramanujan, S., Question 261, J. Indian Math. Soc. 3 (1911), 43. Google Scholar
[18] 18.Ramanujan, S., Collected papers, (Chelsea, New York, 1962). Google Scholar
[19] 19.Ramanujan, S., Notebooks (2 volumes), (Tata Institute of Fundamental Research, Bombay, 1957). Google Scholar
[20] 20.Titchmarsh, E. C., The theory of functions, second ed., (Oxford University Press, London, 1939). Google Scholar
[21] 21.Wheelon, A. D., Tables of summable series and integrals involving Bessel functions, (Holden-Day, San Francisco, 1968). Google Scholar
[22] 22.Whittaker, E. T. and Robinson, G., The calculus of observations, second ed., (Blackie and Son, Glasgow, 1926). Google Scholar
[23] 23.Wright, E. M., Solution of the equation ze z = a, Bull. Amer. Math. Soc. 65 (1959), 89–93. Google Scholar | DOI
[24] 24.Wright, E. M., Solution of the equation ze z = a, Proc. Roy. Soc. Edinburgh, Sect. A 65 (1959), 192–203. Google Scholar
[25] 25.Wright, E. M., Solution of the equation (pz + q)e z = rz + s, Bull. Amer. Math. Soc. 66 (1960), 277–281. Google Scholar | DOI
[26] 26.Wright, E. M., Solution of the equation (z + b)ez + a = ±(z + b), Proc. Roy. Soc. Edinburgh, Sect. A 65 (1960/1961), 358–371. Google Scholar
[27] 27.Wright, E. M., Stability criteria and the real roots of a transcendental equation, SIAM J. Appl. Math. 9 (1961), 136–148. Google Scholar | DOI
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