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MacRobert,s E-Function

المؤلف:  Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G.

المصدر:  "Definition of the E-Function." §5.2 in Higher Transcendental Functions, Vol. 1. New York: Krieger

الجزء والصفحة:  ...

17-6-2019

3977

MacRobert's E-Function

where  is the gamma function and other details are discussed by Gradshteyn and Ryzhik (2000).

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REFERENCES:

Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. "Definition of the E-Function." §5.2 in Higher Transcendental Functions, Vol. 1. New York: Krieger, pp. 203-206, 1981.

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 896-903 and 1071-1072, 2000.

MacRobert, T. M. "Induction Proofs of the Relations between Certain Asymptotic Expansions and Corresponding Generalised Hypergeometric Series." Proc. Roy. Soc. Edinburgh 58, 1-13, 1937-38.

MacRobert, T. M. "Some Formulæ for the -Function." Philos. Mag. 31, 254-260, 1941.